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UPSEE –PAST PAPERS
PHYSICS - UNSOLVED PAPER - 2002
SECTION – I

   Straight Objective Type
   This section contains multiple choice questions numbered 100. Each question has 4 choices (A), (B), (C)
    and (D), out of which ONLY ONE is correct.
01   Problem

     This symbol represents:




     a. NOR gate
     b. AND gate
     c. OR gate
     d. NAND gate
02   Problem
                                                                   a
     The equation of state of some gases can be expressed as   P
                                                                   V2
                                                                      (V b)   RT

     Where P is the pressure, V the volume, T the absolute temperature and a and
     b are constants. The dimensional formula of a is:


     a. [ML5T-2]
     b. [M-1L5T-2]
     c. [ML-1T-2]
     d. [ML-5T-2]
03   Problem

     A can filled with water is rotated in a vertical circle. A what must be the
     minimum velocity given to the can, so that water does not fall?


     a.   v    rg
               r
     b.   v
              g


     c.       1
          v
              rg


     d.       g
          v
               r
04   Problem

     A shell is fired from a cannon velocity v at an angle θ with the horizontal
     direction. At the higher point in its path, it explodes into two pieces of equal
     masses .One of the pieces retraces its path to the cannon. The speed of the
     other piece immediately after the explosion is:


     a. 3 v cos θ
     b. 2 v cos θ
     c. v cos θ
     d. v cos θ
05   Problem

     A 16 kg block moving on a frictionless horizontal surface with a velocity of 4
     m/s compresses an ideal spring and ideal spring and comes to set. If the force
     constant of the spring of the spring be 100 N/m, then the spring is compressed
     by:


     a. 1.6 m
     b. 4 m
     c. 6.1 m
     d. 3.2 m
06   Problem

     A mass of 6x1024 kg is to be compressed in a sphere in such a way that the
     escape velocity from the sphere is 3x108 m/s. What should be the radius of the
     sphere?
     (G=6.67X10-11 N-M2/kg2)


     a. 9km
     b. 9km
     c. 9cm
     d. 9mm
07   Problem

     A large cylindrical tank has a hole of area A at its bottom. Water is poured in the
     tank by a tube of equal cross-sectional area A, ejecting water at the speed v
     .Which one of the following situations will be realized?


     a. No water it mean will stay in the tank
     b. The water level will keep on rising
     c. The water level will rise to a height v2/2g and then stop
     d. The water level will oscillate weight v2/g
08   Problem

     A drop of mercury of radius 2 mm is spilt into 8 identical droplets. Find the
     increase in surface energy. (Surface tension of mercury is 0.465 J/m2)


     a. 23.4 µJ
     b. 18.5 µJ
     c. 26.8 µJ
     d. 16.8 µJ
09   Problem

     A wire of length L and radius r fixed at one end and a force F applied to the other
     end produces an extension l. The extension produced in another wire of the
     same material of length 2L and radius 2r by a force 2F, is:


     a. L
     b. 2l
     c. 4l
     d. l/2
10   Problem

     A small source of sound moves on a circle as shown in the figure and an
     observer is sitting on O. Let V1, V2 and V3 be the frequencies heard when the
     sources are at A , B and C respectively. Then,


     a. V1>V2>V3
     b. V2>V3>V1
     c. V1=V2>V3
     d. V2>V1>V3
11   Problem
                                                                    x
     A transverse wave is described by the equation y y0 sin2 ft
     The maximum particle velocity is equal to four times the wave velocity , if:


     a.      y0
             4


             y0
     b.
             2



     c.     2 y0


     d.      y0
12   Problem

     A particle executes a simple harmonic motion of time period T. Find the time
     taken by particle to go directly from its mean position to half the amplitude.


     a. T/2
     b. T/4
     c. T/8
     d. T/12
13   Problem

     Two trains are moving towards each other with speeds of 20 m/s and 15 m/s
     relative to the ground. The first train sounds a whistle of frequency 600 Hz, the
     frequency of the whistle heard by a passenger in the second train before the
     train meets is: (the speed of sound in is 340 m/s)


     a. 600 Hz
     b. 585 Hz
     c. 645 Hz
     d. 666 Hz
14   Problem

     Two coherent sources of different intensities send waves which interfere. The
     ratio of maximum intensity to the minimum intensity is 25. The intensities of
     the sources are in the ratio:


     a. 25:1
     b. 5:1
     c. 9:4
     d. 25:16
15   Problem

     The optical path a monochromatic light is same. If it goes through the
     thickness of 4.0 cm of glass and 4.5 cm of water. If the refractive index of glass
     is 1.3, the refractive index of the water is :


     a. 1.30
     b. 1.36
     c. 1.42
     d. 1.46
16   Problem

     A microscope is focused on a mark on a piece of paper and then a slab of glass
     of thickness 3 cm and refractive index 1.5 refractive index 1.5 is placed over a
     mark. How should the microscope be moved to get the mark again in focus?


     a. 1 cm upward
     b. 4.5 cm downward
     c. 1 cm downward
     d. 2 cm upward
17   Problem

     A thin lens made of glass of refractive index µ= 1.5 has focal length equal to 12
                                                 4
     cm in air. It is now immersed in water          . Its new focal length is :
                                                 3


     a. 48 cm
     b. 36 cm
     c. 24 cm
     d. 12 cm
18   Problem

     Two points separated by a distance of 0.1 mm can just be resolved in a
     microscope when a light of a wavelength 6000 Å is used. If the light of
     wavelength 4800 Å is used, the limit of resolution becomes :


     a. 0.08 mm
     b. 0.10 mm
     c. 0.12 mm
     d. 0.06 mm
19   Problem

     Solar radiation emitted by sun resembles that emitted by a black body at a
     temperature of 6000 K. Maximum intensity is emitted at a wave length of
     about 4800 Å. If the sun were to cool down from 6000 K to 300 K, then the
     peak intensity would occur at a wavelength


     a. 4800 Å
     b. 9600 Å
     c. 7200 Å
     d. 6400 Å
20   Problem

     Air is pumped into an automobile tube upto a pressure of 200 kPa in the
     morning when the air temperature is 220C. During the day temperature is 220C.
     During the day, temperature rises to 420C and the tube expands by 2%. The
     pressure of the air in the tube at this temperature, will be approximately :


     a. 212 kPa
     b. 209 kPa
     c. 206 kPa
     d. 200 kPa
21   Problem

     A block of mass 100 g slides on a rough horizontal surface. If the speed of the
     block decreases from 10 m/s to 5 m/s, the thermal energy developed in the
     process is :


     a. 3.75 J
     b. 37.5 J
     c. 0.375 J
     d. 0.75 J
22   Problem

     An ideal gas at 270C is compressed adiabatically to 8/27 of its original volume.
     If γ=5/3 then the rise in temperature is :


     a. 575 K
     b. 450 K
     c. 225 K
     d. 375 K
23   Problem

     Two rods (one semicircular and other straight) of same material and of same
     cross-sectional area are joined as shown in the figure. The points A and B are
     maintained at different temperatures. The ratio of the heat transferred
     through a cross-section of a semicircular rod to the heat transferred through a
     cross-section of the straight rod in a given time is :


     a. 2 : π
     b. 1 : 2
     c. π: 2
     d. 3 : 2
24   Problem

     In the circuit shown, the heat produced in the 5 Ω resistor is 10 cal/s. the heat
     generated in the 4Ω resistor is :


     a. 1 cal/s
     b. 2 cal/s
     c. 6 cal/s
     d. 8 cal/s
25   Problem

     A radioactive material decays by simultaneous emission of two particles with
     half-lives 1620 and 810 year respectively. The time in year after which one-
     fourth of the material remains, is :


     a. 4860 year
     b. 3240 year
     c. 2340 year
     d. 1080 year
26   Problem

     A potential barrier of 0.50 V exists across a p-n junction. If the depletion region
     is 5.0 x 10-7 m wide, the intensity of the electric field in this region is :


     a. 1.0 x 106 V/m
     b. x 105 V/m
     c. 2.0 x 105 V/m
     d. 2.0 x 106 V/m
27   Problem

     The circuit shown in the figure contains two diodes each with a forward
     resistance of 50 Ω and with finite backward resistance. If the battery of 6V, the
     current through the 100 Ω resistance (in ampere) is :


     a. Zero
     b. 0.02
     c. 0.03
     d. 0.036
28   Problem

     If the velocity of light (c), gravitational constant (G) and Planck’s constant (h)
     are chosen as fundamental units, then the dimensions of mass in new system
     is :


     a. c1/2G1/2h1/2
     b. c1/2G1/2h - 1/2
     c. c1/2G - 1/2h1/2
     d. c - 1/2G1/2h1/2
29   Problem

     A block of mass 2 kg is suspended through two light spring balance A and B as
     shown in figure. These balances A and B will respectively read :


     a. 2 kg and zero
     b. zero and 2 kg
     c. 2 kg and 2 kg
     d. 1 kg and 1 kg
t = t 1 – t2




    30         Problem

               A stone dropped from a balloon which is at a height h, reaches the ground
               after t seconds. From the same balloon, if two stones are thrown, one upwards
               and the other downwards, with the same velocity u and they reach the ground
               after t1 and t2 seconds respectively, then :


                        t1       t2
               a.   t
                             2



               b.   t   t1t2


                      2  2
               c.    t1 t2



               d. t = t1 – t2
31   Problem

     A shell at rest at the origin exploded into three fragments of masses 1kg, 2 kg
     and m kg. The 2 kg and 1 kg pieces fly off with speeds of 12 m/s along x-axis
     and 16 m/s along y-axis respectively. If the m kg piece flies off with a speed of
     40 m/s, the total mass of the shell must be :


     a. 3.7 kg
     b. 4 kg
     c. 4.5 kg
     d. 5 kg
32   Problem

     If a sphere is rolling, then the ratio at its rotational kinetic energy to the total
     kinetic energy is :


     a. 1 : 2
     b. 2 : 5
     c. 2 : 7
     d. 5 : 7
33   Problem

     A geostationary satellite is orbiting the earth at a height of 6 R above the
     surface of earth, R being the radius of earth. The time period of another
     satellite at a height of 2.5 R from the surface of earth, is :


     a. 10 h
     b. (6/ 2 )h
     c. 6 h
     d. 6 2 h
34   Problem

     A body weights w Newton at the surface of the earth. Its weight at a height
     equal to half the radius of the earth, will be :


     a.   w
          2


          2w
     b.
           3



     c. 4w
           9

          8w
     d.   27
35   Problem

     A spring of force constant k is cut into two pieces such one piece is three time
     the length of the other. The longer piece will have a force constant of :


     a. 3/4 k
     b. 4/3 k
     c. 4 k
     d. 9 k
36   Problem

     For an ideal gas of diatomic molecules, where Cp and Cv are the two specific
     heats of the gas and R the gas constant, then :


     a. CP = 5/2R
     b. CV = 3/2R
     c. VP = CV= 2R
     d. CP = 7/2 R
37   Problem

     The P-V diagram of a system undergoing thermodynamic transformation is
     shown in figure. The work done by the system in going from is 50 J and 20 cal
     heat is given to the system. In internal energy between A and C is :


     a.   34 J
     b. 70 J
     c.   84 J
     d. 134 J
38   Problem

     Two rods of the same length and material transfer a given amount of heat in 12
     s when they are joined end to end. But when they are joined lengthwise, they
     will transfer the same amount of heat, in the same conditions, in :


     a. 1.5 s
     b. 3 s
     c. 24 s
     d. 48 s
39   Problem

     Two identical flutes produce fundamental notes of frequency 300 Hz at 270C. If
     the temperature of air at one flute is increased to 310C, the number of the
     beats heard per second, will be :


     a. 1
     b. 2
     c. 3
     d. 4
40   Problem

     A source of sound of frequency 256 Hz is moving rapidly towards a wall with a
     velocity of 5 m/s. The speed of sound is 330 m/s. If the observer is in between
     the wall and the source, then beats per second heard will be :


     a. 7.8 Hz
     b. 9.7 Hz
     c. 3.9 Hz
     d. zero
41   Problem

     The coefficient of performance of a Carnot’s refrigerator working between
     300C and 00C is :


     a. 10
     b. 1
     c. 9
     d. zero
42   Problem

     The equivalent capacitance in the circuit between A and B will be :




     a. 1 µF
     b. 2 µF
     c. 3 µF
     d. 1/3 1 µF
43   Problem

     The electric potential at a point (x, y) in the x-y plane is given by V = -kxy. The
     filed intensity at a distance r from the origin varies as :


     a. r2
     b. r
     c. 1/r
     d. 1/r2
44   Problem

     If n drops, each of capacitance C, coalesce 10 form a single big drop, then the
     ratio of the energy stored in the big drop to that in each small drop, will be :


     a. n : 1
     b. n1/3 : 1
     c. n5/3 : 1
     d. n2 : 1
45   Problem

     125 cm of potentiometer wire balances the emf of a cell and 100 cm of the
     wire is required for balance, if the poles of the cell are joined by a 2 Ω resistor.
     Then the internal resistance of the cell is :


     a. 0.25 Ω
     b. 0.5 Ω
     c. 0.75 Ω
     d. 1.25 Ω
46   Problem

     Three bulbs of 40 W, 60 W and 100 W are connected in series to a current
     source of 200 V. Which of the following statements is true ?


     a. 40 W bulb glow brightest
     b. 60 W bulb glow brightest
     c. 100 W bulb glow brightest
     d. All bulbs glow with same brightest
47   Problem

     At room temperature, copper has free electron density of 8.4 x 1028/m3. the
     copper conductor has a cross-section of 10-6m2 and carries a current of 5.4 A.
     The electron drift velocity in copper is :


     a. 400 m/s
     b. 0.4 m/s
     c. 0.4 m/s
     d. 72 m/s
48   Problem

     A part of a long wire carrying a current I is bent into a circle of radius r as
     shown in figure. The net magnetic field at the centre O of the circular loop is :


     a.      i 0

           4r


             i
     b.        0

           2r


            i
     c.    0
                   1
          2 r

            i
     d.    0
                   1
          2 r
49   Problem

     A charged particle moving with velocity v is subjected to electric field E and
     magnetic filed B. The particle will go undeflected, if :


     a. E is perpendicular to B
     b. E is parallel to v and perpendicular to B
     c. E and B both are parallel to v
     d. E, B and v are mutually perpendicular but V=E/B
50   Problem

     A 36 Ω galvanometer is shunted by resistance of 4Ω. The percentage of the
     total current, which passes through the galvanometer is :


     a. 8%
     b. 9%
     c. 10%
     d. 91%
51   Problem

     The meniscus of a liquid contained in one of the limbs of a narrow U-tube is
     placed between the pole pieces of an electromagnet with the meniscus in line
     with the field. When the electromagnet is switched on, the liquid is seen to
     rise in the limb. This indicates that the liquid is :


     a. Non-magnetic
     b. Paramagnetic
     c. Diamagnetic
     d. Ferromagnetic
52   Problem

     Which of the following statements is incorrect about hysteresis ?


     a. This effect is common to all ferromagnetic substances
     b. The hysteresis loop area is proportional to the thermal energy developed
        per unit volume of the material
     c. The hysteresis hoop area is independent of the thermal energy developed
        per unit volume of the material
     d. The shape of the hysteresis loop is characteristic of the material
53   Problem

     A motor having an armature of resistance 2Ω is designed to operate at 220 V
     mains. At full speed, it develops a back emf of 210 V. When the motor is
     running at full speed, the current in the armature is :


     a. 5 A
     b. 105 A
     c. 110 A
     d. 215 A
54   Problem

     A helium nucleus makes full rotation in a circle of radius 0.8m in 2 s. The value
     of magnetic filed B at the centre of the circle, will be : (   0   = permeability
     constnat)

                        19
          2 x 10
     a.
                    0



               19
     b.   10
               0



     c. 2 x 10-19 µ0


     d. 10-19 µ0
55   Problem

     The luminous intensity of lamp which produces an luminance of 12 lux at a
     distance of 5 m from it, is :


     a. 4 cd
     b. 60 cd
     c. 300 cd
     d. 720 cd
56   Problem

     To print a photograph from a negative, the time of exposure to light from a
     lamp placed. 60 cm away is 2.5 s. If the lamp is placed 1.2m away, then the
     exposure time required is :


     a. 5 s
     b. 10 s
     c. 15 s
     d. 20 s
57   Problem

     If two + 5D lenses are mounted at some distance apart, the equivalent power
     will always be negative, if the distance is :


     a. Greater than 40 cm
     b. Equal to 40 cm
     c. Equal to 10 cm
     d. Less than 10 cm
58   Problem

     The population inversion necessary for laser action used in solid state lasers is :


     a. Electrical discharge
     b. Inelastic atom-atom collision
     c. Direct conversion
     d. Optical pumping
59   Problem

     The work of a substance is 4.0 eV. The longest wavelength of light that can
     cause photoelectron emission from this substance is approximately :


     a. 540 nm
     b. 400 nm
     c. 310 nm
     d. 220 nm
60   Problem

     The innermost orbit of the hydrogen atom has a diameter 1.06 Å. The diameter
     of tenth orbit is :


     a. 5.3 Å
     b. 10.6 Å
     c. 5.3 Å
     d. 106 Å
61   Problem

     Which one of the following statements about uranium is correct ?


     a.   235U   is fissionable by thermal neutrons
     b. fast neutrons trigger the fission process in 235U
     c.   238U   is broken into fragments when bombarded by slow neutrons
     d.   235U   is an unstable isotope and undergoes spontaneous fission
62   Problem

     The decay constant of radioactive substances is  The half-life and mean-life
                                                      .
     of the substance are respectively given by :


     a. 1/and (In 2/)
     b. (In 2/ and 1/
               )
     c. 1/and (ln 2)
     d. (ln 2) and 1/
63   Problem
     22Ne   nucleus, after absorbing energy, decays into two -particles and an
     unknown nucleus. The unknown nucleus is :


     a. nitrogen
     b. carbon
     c. boron
     d. oxygen
64   Problem

     A logic gate having two inputs A and B and output C has the following truth
     table
     This gate is :


     a. OR
     b. AND
     c. NOT
     d. NAND
65   Problem

     The given figure shows the wave forms for two inputs A and B and that for the
     output Y of a logic circuit. The logic circuit is :


     a. An AND gate
     b. An OR gate
     c. A NAND gate
     d. A NOT gate
66   Problem

     The current voltage characteristic of a p-n junction diode is represented by the
     graph :



     a.



     b.



     c.



     d.
67   Problem

     If L, C and R denote the inductance, capacitance and resistance respectively,
     the dimensional formula for C2LR is :


     a. [ML2T-1I0]
     b. [M0L0T2I0]
     c. [M-1L-2T6I2]
     d. [M0L0T2I0]
68   Problem

     A cricketer can throw a ball to a maximum horizontal distance of 100 m. With
     the same effort, he throws the ball vertically upwards. The maximum height
     attained by the ball is :


     a. 100 m
     b. 80 m
     c. 60 m
     d. 50 m
69   Problem

     From the top of a tower, a particle is projected with a velocity of 19.6 m/s2, the
     particle will move at right angles to its initial direction of motion after a time of
     :


     a. 1 s
     b. 4 s
     c. 6 s
     d. 8 s
70   Problem

     A can filled with water is revolved in a vertical circle of radius 4 m and the
     water does not fall down. The time period for a revolution is about :


     a. 2 s
     b. 4 s
     c. 8 s
     d. 10 s
71   Problem

     If boiling point of water is 950F, what will reduction at Celsius scale ?


     a. 70C
     b. 650C
     c. 630C
     d. 350C
72   Problem

     The centre of mass of three particles of masses 1 kg, 2 kg and 3 kg is a (3, 3, 3)
     with reference to a fixed co-ordinate system. Where should a fourth particle of
     mass 4 kg be placed, so that the centre of mass of the system of all particles
     shifts to a point (1, 1, 1) ?


     a. (-1, -1, -1)
     b. (-2, -2, -2)
     c. (2, 2, 2)
     d. (1, 1, 1)
73   Problem

     A pulley fixed to the ceiling carries a string with blocks of masses m and 3 m
     attached to its ends. The masses of string and pulley are negligible. When the
     system is released, its centre of mass with what acceleration ?


     a. Zero
     b. -g/4
     c. g/2
     d. -g/2
74   Problem

     A uniform rod of length l and mass m is free to rotate in a vertical plane about
     A. The rod initially in horizontal position is released. The initial angular
     acceleration of the rod is :
                                               2
     (Moment of inertia of rod about A ml is ):
                                           3


          3g
     a.
          2l



     b. 2l
          3g

          3g
     c.
          2l 2

                 l
     d.   mg
                 2
4




    75   Problem

         Suppose the law of gravitational attraction suddenly changes and becomes an
                                      1
         inverse cube law, i.e.   F      ,   , but still remaining a central force. Then :
                                      r3



         a. Kepler’s law of areas still holds
         b. Kepler’s law of periods still holds
         c. Kepler’s law of areas and periods still holds
         d. Neither the law of areas, nor the law of periods still holds
4




    76   Problem

         Water rises in a vertical capillary tube up to a height of 2.0 cm. If the tube is
         inclined at an angle of 600 with the vertical, then upto what length the water
         will rise in the tube ?


         a. 1.0 cm
         b. 4.0 cm
         c.   4   cm
              3
         d. 2 2 cm
77   Problem

     A particle of mass m is under the influence of a force F which varies with the
     displacement x according to the relation F = - kx + f0 in which k and f0 are
     constants. The particle when disturbed will oscillate about :


     a. x = 0 with      k /m

     b. x = 0 with      k /m

     c. x = f0/k with     k /m

     d. x = f0/k with     k /m
78   Problem

     A pan with set of weights is attached with a light spring. When disturbed, the
     mass-spring system oscillates with a time period 0.6 s. When some additional
     weights are added, then time period is 0.7 s. The extension caused by the
     additional weights is approximately given by :


     a. 1.38 cm
     b. 3.3 cm
     c. 1.75 cm
     d. 2.45 cm
79   Problem

     Two waves represented by the following equations are traveling in the same
     medium
     y1 = 5 sin 2 π (75t - 25 x)
     y2 = 10 sin 2 π(150t – 50 x)
     The intensity ratio I1/I2 of the two waves is :


     a. 1 : 2
     b. 1 : 4
     c. 1 : 8
     d. 1 : 16
80   Problem

     A source of sound placed at the open end of a resonance column sends an
     acoustic wave of pressure amplitude P0 inside the tube. If the atmosphere
     pressure is PA, then the ratio of maximum and minimum pressure at the closed
     end of the tube will be :


     a. (PA + P0) / (PA – P0)
     b. (PA + P0) (PA – 2P0)
     c. PA,PA
     d. . PA 1 P0   PA
                         1
                           P0
             2           2
81   Problem

     Two sources S1 and S2 each emitting waves of wavelength are kept
     symmetrically on either side of centre O of a circle ABCD such that S1O = S2O =
     1.5  If a detector is moved along the circumference of the circle, it will record
          .
     how many maximas in one revolution ?


     a. 8
     b. 12
     c. 16
     d. 10
82   Problem

     An ideal gas expands in such a manner that its pressure and volume comply
     with the condition PV2 = constant. During this process, the gas is :


     a. Heated
     b. Cooled
     c. Neither heated nor cooled
     d. First heated and then of a cooled
83   Problem

     Energy of all molecules of a monatomic gas having a volume V and pressure P
     is 3/2 PV. The total translational kinetic energy of all molecules of a diatomic
     gas at the same volume and pressure, is :


     a. 1/2PV
     b. 3/2PV
     c. 5/2PV
     d. 3 PV
84   Problem

     Three rods of the same dimensions have thermal conductivities 3K, 2 K and K.
     They are arranged as shown in figure with their ends at 1000C, 500C and 200C.
     The temperature of their junction is :


     a. 600
     b. 700
     c. 500
     d. 350
85   Problem

     An electron moving in a circular orbit of radius r makes n revolutions per
     second. As a result the magnetic field produced at the centre is :


                 ne
     a. B           0

                2 r

                 n2e
     b. B       0

                2r

                 ne
     c. B       0

                2r


     d. B = 0
86   Problem

     A concave mirror of a radius of curvature 1 m is placed at the bottom of a tank
     of water. The mirror forms an image of the sun, when it is directly overhead.
     Calculate the distance of the image from the mirror for 80 cm of water in the
     tank :


     a. 30 cm
     b. 50 cm
     c. 40 cm
     d. 10 cm
87   Problem

     A ray PQ incident on the refracting face BA is refracted in the prism BAC as
     shown in the figure and emerges from the other refracting
     face AC as RS, such that AQ = AR. If the angle of prism A = 600 and the
     refractive index of the material of prism is , then the angel of deviation of the
     ray is:


     a. 600
     b. 450
     c. 300
     d. None of these
88   Problem

     When an object is moved along the axis of a convex lens, the size of image is
     obtained half times the size of the object. When the object is at a distance d1
     or at a distance d2 from the lens, then the focal length of the lens is:


     a.    d1d2



     b. d1 / d2


     c.   1
            d1    d2
          2


     d. 1 d1      d2
          2
89   Problem

     In a Galilean telescope, the inverted image formed by its objective serves as a
     virtual object for its eyepiece. If the eyepiece has to from an inverted and
     magnified image of the virtual object, the eyepiece has to be a concave lens
     and it must be so placed that the virtual object falls:


     a. Within F
     b. Between F and 2F
     c. At 2F
     d. Beyond 2F
90   Problem

     In Fraunhofer diffraction pattern due to narrow slit a screen is placed 2 m away
     from the lens to obtain the pattern. If the slit width is 0.2 mm on either sides
     of the central maximum, the wavelength of light used is :


     a. 5000 Å
     b. 2000 Å
     c. 1500 Å
     d. 1000 Å
91   Problem

     In an electromagnetic field, the amplitude of magnetic field is 3 x 10-10 T. If the
     frequency of the wave is 1012 Hz, then the amplitude of the associated electric
     field will be :


     a. 9 x 10-2 V/m
     b. 3 x 10-2 V/m
     c. 3 x 10-10 V/m
     d. 9 V/m
92   Problem

     The centre of a circular table has radius r. The illuminance at the centre of the
     table is eight times that at its circumference. The height of the lamp above the
     table is :


     a. R


     b. r
              2

          r
     c.
          3

          r
     d.
          7
93   Problem

     The spectral lines of Lyman series lie in which region of the spectrum ?


     a. Ultraviolet
     b. Visible
     c. Near infrared
     d. Far infrared
94   Problem

     For an atom, the energy level corresponding to ground state is E1, the
     metastable state is E2 and an excited state above the metastable state is E3. If
     the number of atoms in these states are N1, N2 and N3 respectively, then in
     relation to laser action, the population inversion means that :


     a. N2 < N1
     b. N2 > N1
     c. N3 < N3
     d. N3 > N1
95   Problem

     An alpha particle is acceleration through a potential difference of 200 V. The
     increase in its kinetic energy is :


     a. 100 eV
     b. 200 eV
     c. 400 eV
     d. 800 eV
96   Problem

     The rest mass of an electron as well as that of positron is 0.51 MeV. When an
     electron and positron are annihilated, they produce gamma-rays of wavelength
     :


     a. 0.012 Å
     b. 0.024 Å
     c. 0.012 Å to ∞
     d. 0.024 Å to ∞
97   Problem

     When forward bias is applied to a p-n junction, then what happens to the
     potential barrier VB, and the width of charge depleted region x ?


     a. VB Increases, x decreases
     b. VB decreases, x increases
     c. VB Increases, x increases
     d. VB decreases, x decreases
98   Problem

     Zener breakdown in a semiconductor diode occurs when :


     a. Forward current exceeds certain value
     b. Reverse bias exceeds certain value
     c. Forward bias is equal to certain value
     d. Potential barrier is reduced to zero
99   Problem

     A transistor connected in common-emitter configuration has input resistance
     RCE = 2 kΩ and load resistance of 5 kΩ If = 60 and an input signal 12 mV is
     applied. Calculate the voltage gain, the power gain and the value of output
     voltage are :


     a. AV = 150, Vout = 1.8 V and power gain = 9000
     b. AV = 20, Vout = 1.8 V and power gain = 2000
     c. AV = 150, Vout = 1.8 V and power gain = 8500
     d. AV = 20, Vout = 1.5 V and power gain = 2000
100   Problem

      To get an output 1 from the circuit shown in the figure, the input must be :




      a. A = 0, B = 1, C = 0
      b. A = 1, B = 0, C = 0
      c. A = 1, B = 0, C = 1
      d. A = 1, B = 1, C = 0
FOR SOLUTIONS VISIT WWW.VASISTA.NET

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UPSEE - Physics -2002 Unsolved Paper

  • 1. UPSEE –PAST PAPERS PHYSICS - UNSOLVED PAPER - 2002
  • 2. SECTION – I  Straight Objective Type  This section contains multiple choice questions numbered 100. Each question has 4 choices (A), (B), (C) and (D), out of which ONLY ONE is correct.
  • 3. 01 Problem This symbol represents: a. NOR gate b. AND gate c. OR gate d. NAND gate
  • 4. 02 Problem a The equation of state of some gases can be expressed as P V2 (V b) RT Where P is the pressure, V the volume, T the absolute temperature and a and b are constants. The dimensional formula of a is: a. [ML5T-2] b. [M-1L5T-2] c. [ML-1T-2] d. [ML-5T-2]
  • 5. 03 Problem A can filled with water is rotated in a vertical circle. A what must be the minimum velocity given to the can, so that water does not fall? a. v rg r b. v g c. 1 v rg d. g v r
  • 6. 04 Problem A shell is fired from a cannon velocity v at an angle θ with the horizontal direction. At the higher point in its path, it explodes into two pieces of equal masses .One of the pieces retraces its path to the cannon. The speed of the other piece immediately after the explosion is: a. 3 v cos θ b. 2 v cos θ c. v cos θ d. v cos θ
  • 7. 05 Problem A 16 kg block moving on a frictionless horizontal surface with a velocity of 4 m/s compresses an ideal spring and ideal spring and comes to set. If the force constant of the spring of the spring be 100 N/m, then the spring is compressed by: a. 1.6 m b. 4 m c. 6.1 m d. 3.2 m
  • 8. 06 Problem A mass of 6x1024 kg is to be compressed in a sphere in such a way that the escape velocity from the sphere is 3x108 m/s. What should be the radius of the sphere? (G=6.67X10-11 N-M2/kg2) a. 9km b. 9km c. 9cm d. 9mm
  • 9. 07 Problem A large cylindrical tank has a hole of area A at its bottom. Water is poured in the tank by a tube of equal cross-sectional area A, ejecting water at the speed v .Which one of the following situations will be realized? a. No water it mean will stay in the tank b. The water level will keep on rising c. The water level will rise to a height v2/2g and then stop d. The water level will oscillate weight v2/g
  • 10. 08 Problem A drop of mercury of radius 2 mm is spilt into 8 identical droplets. Find the increase in surface energy. (Surface tension of mercury is 0.465 J/m2) a. 23.4 µJ b. 18.5 µJ c. 26.8 µJ d. 16.8 µJ
  • 11. 09 Problem A wire of length L and radius r fixed at one end and a force F applied to the other end produces an extension l. The extension produced in another wire of the same material of length 2L and radius 2r by a force 2F, is: a. L b. 2l c. 4l d. l/2
  • 12. 10 Problem A small source of sound moves on a circle as shown in the figure and an observer is sitting on O. Let V1, V2 and V3 be the frequencies heard when the sources are at A , B and C respectively. Then, a. V1>V2>V3 b. V2>V3>V1 c. V1=V2>V3 d. V2>V1>V3
  • 13. 11 Problem x A transverse wave is described by the equation y y0 sin2 ft The maximum particle velocity is equal to four times the wave velocity , if: a. y0 4 y0 b. 2 c. 2 y0 d. y0
  • 14. 12 Problem A particle executes a simple harmonic motion of time period T. Find the time taken by particle to go directly from its mean position to half the amplitude. a. T/2 b. T/4 c. T/8 d. T/12
  • 15. 13 Problem Two trains are moving towards each other with speeds of 20 m/s and 15 m/s relative to the ground. The first train sounds a whistle of frequency 600 Hz, the frequency of the whistle heard by a passenger in the second train before the train meets is: (the speed of sound in is 340 m/s) a. 600 Hz b. 585 Hz c. 645 Hz d. 666 Hz
  • 16. 14 Problem Two coherent sources of different intensities send waves which interfere. The ratio of maximum intensity to the minimum intensity is 25. The intensities of the sources are in the ratio: a. 25:1 b. 5:1 c. 9:4 d. 25:16
  • 17. 15 Problem The optical path a monochromatic light is same. If it goes through the thickness of 4.0 cm of glass and 4.5 cm of water. If the refractive index of glass is 1.3, the refractive index of the water is : a. 1.30 b. 1.36 c. 1.42 d. 1.46
  • 18. 16 Problem A microscope is focused on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 refractive index 1.5 is placed over a mark. How should the microscope be moved to get the mark again in focus? a. 1 cm upward b. 4.5 cm downward c. 1 cm downward d. 2 cm upward
  • 19. 17 Problem A thin lens made of glass of refractive index µ= 1.5 has focal length equal to 12 4 cm in air. It is now immersed in water . Its new focal length is : 3 a. 48 cm b. 36 cm c. 24 cm d. 12 cm
  • 20. 18 Problem Two points separated by a distance of 0.1 mm can just be resolved in a microscope when a light of a wavelength 6000 Å is used. If the light of wavelength 4800 Å is used, the limit of resolution becomes : a. 0.08 mm b. 0.10 mm c. 0.12 mm d. 0.06 mm
  • 21. 19 Problem Solar radiation emitted by sun resembles that emitted by a black body at a temperature of 6000 K. Maximum intensity is emitted at a wave length of about 4800 Å. If the sun were to cool down from 6000 K to 300 K, then the peak intensity would occur at a wavelength a. 4800 Å b. 9600 Å c. 7200 Å d. 6400 Å
  • 22. 20 Problem Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperature is 220C. During the day temperature is 220C. During the day, temperature rises to 420C and the tube expands by 2%. The pressure of the air in the tube at this temperature, will be approximately : a. 212 kPa b. 209 kPa c. 206 kPa d. 200 kPa
  • 23. 21 Problem A block of mass 100 g slides on a rough horizontal surface. If the speed of the block decreases from 10 m/s to 5 m/s, the thermal energy developed in the process is : a. 3.75 J b. 37.5 J c. 0.375 J d. 0.75 J
  • 24. 22 Problem An ideal gas at 270C is compressed adiabatically to 8/27 of its original volume. If γ=5/3 then the rise in temperature is : a. 575 K b. 450 K c. 225 K d. 375 K
  • 25. 23 Problem Two rods (one semicircular and other straight) of same material and of same cross-sectional area are joined as shown in the figure. The points A and B are maintained at different temperatures. The ratio of the heat transferred through a cross-section of a semicircular rod to the heat transferred through a cross-section of the straight rod in a given time is : a. 2 : π b. 1 : 2 c. π: 2 d. 3 : 2
  • 26. 24 Problem In the circuit shown, the heat produced in the 5 Ω resistor is 10 cal/s. the heat generated in the 4Ω resistor is : a. 1 cal/s b. 2 cal/s c. 6 cal/s d. 8 cal/s
  • 27. 25 Problem A radioactive material decays by simultaneous emission of two particles with half-lives 1620 and 810 year respectively. The time in year after which one- fourth of the material remains, is : a. 4860 year b. 3240 year c. 2340 year d. 1080 year
  • 28. 26 Problem A potential barrier of 0.50 V exists across a p-n junction. If the depletion region is 5.0 x 10-7 m wide, the intensity of the electric field in this region is : a. 1.0 x 106 V/m b. x 105 V/m c. 2.0 x 105 V/m d. 2.0 x 106 V/m
  • 29. 27 Problem The circuit shown in the figure contains two diodes each with a forward resistance of 50 Ω and with finite backward resistance. If the battery of 6V, the current through the 100 Ω resistance (in ampere) is : a. Zero b. 0.02 c. 0.03 d. 0.036
  • 30. 28 Problem If the velocity of light (c), gravitational constant (G) and Planck’s constant (h) are chosen as fundamental units, then the dimensions of mass in new system is : a. c1/2G1/2h1/2 b. c1/2G1/2h - 1/2 c. c1/2G - 1/2h1/2 d. c - 1/2G1/2h1/2
  • 31. 29 Problem A block of mass 2 kg is suspended through two light spring balance A and B as shown in figure. These balances A and B will respectively read : a. 2 kg and zero b. zero and 2 kg c. 2 kg and 2 kg d. 1 kg and 1 kg
  • 32. t = t 1 – t2 30 Problem A stone dropped from a balloon which is at a height h, reaches the ground after t seconds. From the same balloon, if two stones are thrown, one upwards and the other downwards, with the same velocity u and they reach the ground after t1 and t2 seconds respectively, then : t1 t2 a. t 2 b. t t1t2 2 2 c. t1 t2 d. t = t1 – t2
  • 33. 31 Problem A shell at rest at the origin exploded into three fragments of masses 1kg, 2 kg and m kg. The 2 kg and 1 kg pieces fly off with speeds of 12 m/s along x-axis and 16 m/s along y-axis respectively. If the m kg piece flies off with a speed of 40 m/s, the total mass of the shell must be : a. 3.7 kg b. 4 kg c. 4.5 kg d. 5 kg
  • 34. 32 Problem If a sphere is rolling, then the ratio at its rotational kinetic energy to the total kinetic energy is : a. 1 : 2 b. 2 : 5 c. 2 : 7 d. 5 : 7
  • 35. 33 Problem A geostationary satellite is orbiting the earth at a height of 6 R above the surface of earth, R being the radius of earth. The time period of another satellite at a height of 2.5 R from the surface of earth, is : a. 10 h b. (6/ 2 )h c. 6 h d. 6 2 h
  • 36. 34 Problem A body weights w Newton at the surface of the earth. Its weight at a height equal to half the radius of the earth, will be : a. w 2 2w b. 3 c. 4w 9 8w d. 27
  • 37. 35 Problem A spring of force constant k is cut into two pieces such one piece is three time the length of the other. The longer piece will have a force constant of : a. 3/4 k b. 4/3 k c. 4 k d. 9 k
  • 38. 36 Problem For an ideal gas of diatomic molecules, where Cp and Cv are the two specific heats of the gas and R the gas constant, then : a. CP = 5/2R b. CV = 3/2R c. VP = CV= 2R d. CP = 7/2 R
  • 39. 37 Problem The P-V diagram of a system undergoing thermodynamic transformation is shown in figure. The work done by the system in going from is 50 J and 20 cal heat is given to the system. In internal energy between A and C is : a. 34 J b. 70 J c. 84 J d. 134 J
  • 40. 38 Problem Two rods of the same length and material transfer a given amount of heat in 12 s when they are joined end to end. But when they are joined lengthwise, they will transfer the same amount of heat, in the same conditions, in : a. 1.5 s b. 3 s c. 24 s d. 48 s
  • 41. 39 Problem Two identical flutes produce fundamental notes of frequency 300 Hz at 270C. If the temperature of air at one flute is increased to 310C, the number of the beats heard per second, will be : a. 1 b. 2 c. 3 d. 4
  • 42. 40 Problem A source of sound of frequency 256 Hz is moving rapidly towards a wall with a velocity of 5 m/s. The speed of sound is 330 m/s. If the observer is in between the wall and the source, then beats per second heard will be : a. 7.8 Hz b. 9.7 Hz c. 3.9 Hz d. zero
  • 43. 41 Problem The coefficient of performance of a Carnot’s refrigerator working between 300C and 00C is : a. 10 b. 1 c. 9 d. zero
  • 44. 42 Problem The equivalent capacitance in the circuit between A and B will be : a. 1 µF b. 2 µF c. 3 µF d. 1/3 1 µF
  • 45. 43 Problem The electric potential at a point (x, y) in the x-y plane is given by V = -kxy. The filed intensity at a distance r from the origin varies as : a. r2 b. r c. 1/r d. 1/r2
  • 46. 44 Problem If n drops, each of capacitance C, coalesce 10 form a single big drop, then the ratio of the energy stored in the big drop to that in each small drop, will be : a. n : 1 b. n1/3 : 1 c. n5/3 : 1 d. n2 : 1
  • 47. 45 Problem 125 cm of potentiometer wire balances the emf of a cell and 100 cm of the wire is required for balance, if the poles of the cell are joined by a 2 Ω resistor. Then the internal resistance of the cell is : a. 0.25 Ω b. 0.5 Ω c. 0.75 Ω d. 1.25 Ω
  • 48. 46 Problem Three bulbs of 40 W, 60 W and 100 W are connected in series to a current source of 200 V. Which of the following statements is true ? a. 40 W bulb glow brightest b. 60 W bulb glow brightest c. 100 W bulb glow brightest d. All bulbs glow with same brightest
  • 49. 47 Problem At room temperature, copper has free electron density of 8.4 x 1028/m3. the copper conductor has a cross-section of 10-6m2 and carries a current of 5.4 A. The electron drift velocity in copper is : a. 400 m/s b. 0.4 m/s c. 0.4 m/s d. 72 m/s
  • 50. 48 Problem A part of a long wire carrying a current I is bent into a circle of radius r as shown in figure. The net magnetic field at the centre O of the circular loop is : a. i 0 4r i b. 0 2r i c. 0 1 2 r i d. 0 1 2 r
  • 51. 49 Problem A charged particle moving with velocity v is subjected to electric field E and magnetic filed B. The particle will go undeflected, if : a. E is perpendicular to B b. E is parallel to v and perpendicular to B c. E and B both are parallel to v d. E, B and v are mutually perpendicular but V=E/B
  • 52. 50 Problem A 36 Ω galvanometer is shunted by resistance of 4Ω. The percentage of the total current, which passes through the galvanometer is : a. 8% b. 9% c. 10% d. 91%
  • 53. 51 Problem The meniscus of a liquid contained in one of the limbs of a narrow U-tube is placed between the pole pieces of an electromagnet with the meniscus in line with the field. When the electromagnet is switched on, the liquid is seen to rise in the limb. This indicates that the liquid is : a. Non-magnetic b. Paramagnetic c. Diamagnetic d. Ferromagnetic
  • 54. 52 Problem Which of the following statements is incorrect about hysteresis ? a. This effect is common to all ferromagnetic substances b. The hysteresis loop area is proportional to the thermal energy developed per unit volume of the material c. The hysteresis hoop area is independent of the thermal energy developed per unit volume of the material d. The shape of the hysteresis loop is characteristic of the material
  • 55. 53 Problem A motor having an armature of resistance 2Ω is designed to operate at 220 V mains. At full speed, it develops a back emf of 210 V. When the motor is running at full speed, the current in the armature is : a. 5 A b. 105 A c. 110 A d. 215 A
  • 56. 54 Problem A helium nucleus makes full rotation in a circle of radius 0.8m in 2 s. The value of magnetic filed B at the centre of the circle, will be : ( 0 = permeability constnat) 19 2 x 10 a. 0 19 b. 10 0 c. 2 x 10-19 µ0 d. 10-19 µ0
  • 57. 55 Problem The luminous intensity of lamp which produces an luminance of 12 lux at a distance of 5 m from it, is : a. 4 cd b. 60 cd c. 300 cd d. 720 cd
  • 58. 56 Problem To print a photograph from a negative, the time of exposure to light from a lamp placed. 60 cm away is 2.5 s. If the lamp is placed 1.2m away, then the exposure time required is : a. 5 s b. 10 s c. 15 s d. 20 s
  • 59. 57 Problem If two + 5D lenses are mounted at some distance apart, the equivalent power will always be negative, if the distance is : a. Greater than 40 cm b. Equal to 40 cm c. Equal to 10 cm d. Less than 10 cm
  • 60. 58 Problem The population inversion necessary for laser action used in solid state lasers is : a. Electrical discharge b. Inelastic atom-atom collision c. Direct conversion d. Optical pumping
  • 61. 59 Problem The work of a substance is 4.0 eV. The longest wavelength of light that can cause photoelectron emission from this substance is approximately : a. 540 nm b. 400 nm c. 310 nm d. 220 nm
  • 62. 60 Problem The innermost orbit of the hydrogen atom has a diameter 1.06 Å. The diameter of tenth orbit is : a. 5.3 Å b. 10.6 Å c. 5.3 Å d. 106 Å
  • 63. 61 Problem Which one of the following statements about uranium is correct ? a. 235U is fissionable by thermal neutrons b. fast neutrons trigger the fission process in 235U c. 238U is broken into fragments when bombarded by slow neutrons d. 235U is an unstable isotope and undergoes spontaneous fission
  • 64. 62 Problem The decay constant of radioactive substances is  The half-life and mean-life . of the substance are respectively given by : a. 1/and (In 2/) b. (In 2/ and 1/ ) c. 1/and (ln 2) d. (ln 2) and 1/
  • 65. 63 Problem 22Ne nucleus, after absorbing energy, decays into two -particles and an unknown nucleus. The unknown nucleus is : a. nitrogen b. carbon c. boron d. oxygen
  • 66. 64 Problem A logic gate having two inputs A and B and output C has the following truth table This gate is : a. OR b. AND c. NOT d. NAND
  • 67. 65 Problem The given figure shows the wave forms for two inputs A and B and that for the output Y of a logic circuit. The logic circuit is : a. An AND gate b. An OR gate c. A NAND gate d. A NOT gate
  • 68. 66 Problem The current voltage characteristic of a p-n junction diode is represented by the graph : a. b. c. d.
  • 69. 67 Problem If L, C and R denote the inductance, capacitance and resistance respectively, the dimensional formula for C2LR is : a. [ML2T-1I0] b. [M0L0T2I0] c. [M-1L-2T6I2] d. [M0L0T2I0]
  • 70. 68 Problem A cricketer can throw a ball to a maximum horizontal distance of 100 m. With the same effort, he throws the ball vertically upwards. The maximum height attained by the ball is : a. 100 m b. 80 m c. 60 m d. 50 m
  • 71. 69 Problem From the top of a tower, a particle is projected with a velocity of 19.6 m/s2, the particle will move at right angles to its initial direction of motion after a time of : a. 1 s b. 4 s c. 6 s d. 8 s
  • 72. 70 Problem A can filled with water is revolved in a vertical circle of radius 4 m and the water does not fall down. The time period for a revolution is about : a. 2 s b. 4 s c. 8 s d. 10 s
  • 73. 71 Problem If boiling point of water is 950F, what will reduction at Celsius scale ? a. 70C b. 650C c. 630C d. 350C
  • 74. 72 Problem The centre of mass of three particles of masses 1 kg, 2 kg and 3 kg is a (3, 3, 3) with reference to a fixed co-ordinate system. Where should a fourth particle of mass 4 kg be placed, so that the centre of mass of the system of all particles shifts to a point (1, 1, 1) ? a. (-1, -1, -1) b. (-2, -2, -2) c. (2, 2, 2) d. (1, 1, 1)
  • 75. 73 Problem A pulley fixed to the ceiling carries a string with blocks of masses m and 3 m attached to its ends. The masses of string and pulley are negligible. When the system is released, its centre of mass with what acceleration ? a. Zero b. -g/4 c. g/2 d. -g/2
  • 76. 74 Problem A uniform rod of length l and mass m is free to rotate in a vertical plane about A. The rod initially in horizontal position is released. The initial angular acceleration of the rod is : 2 (Moment of inertia of rod about A ml is ): 3 3g a. 2l b. 2l 3g 3g c. 2l 2 l d. mg 2
  • 77. 4 75 Problem Suppose the law of gravitational attraction suddenly changes and becomes an 1 inverse cube law, i.e. F , , but still remaining a central force. Then : r3 a. Kepler’s law of areas still holds b. Kepler’s law of periods still holds c. Kepler’s law of areas and periods still holds d. Neither the law of areas, nor the law of periods still holds
  • 78. 4 76 Problem Water rises in a vertical capillary tube up to a height of 2.0 cm. If the tube is inclined at an angle of 600 with the vertical, then upto what length the water will rise in the tube ? a. 1.0 cm b. 4.0 cm c. 4 cm 3 d. 2 2 cm
  • 79. 77 Problem A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation F = - kx + f0 in which k and f0 are constants. The particle when disturbed will oscillate about : a. x = 0 with k /m b. x = 0 with k /m c. x = f0/k with k /m d. x = f0/k with k /m
  • 80. 78 Problem A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period 0.6 s. When some additional weights are added, then time period is 0.7 s. The extension caused by the additional weights is approximately given by : a. 1.38 cm b. 3.3 cm c. 1.75 cm d. 2.45 cm
  • 81. 79 Problem Two waves represented by the following equations are traveling in the same medium y1 = 5 sin 2 π (75t - 25 x) y2 = 10 sin 2 π(150t – 50 x) The intensity ratio I1/I2 of the two waves is : a. 1 : 2 b. 1 : 4 c. 1 : 8 d. 1 : 16
  • 82. 80 Problem A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude P0 inside the tube. If the atmosphere pressure is PA, then the ratio of maximum and minimum pressure at the closed end of the tube will be : a. (PA + P0) / (PA – P0) b. (PA + P0) (PA – 2P0) c. PA,PA d. . PA 1 P0 PA 1 P0 2 2
  • 83. 81 Problem Two sources S1 and S2 each emitting waves of wavelength are kept symmetrically on either side of centre O of a circle ABCD such that S1O = S2O = 1.5  If a detector is moved along the circumference of the circle, it will record . how many maximas in one revolution ? a. 8 b. 12 c. 16 d. 10
  • 84. 82 Problem An ideal gas expands in such a manner that its pressure and volume comply with the condition PV2 = constant. During this process, the gas is : a. Heated b. Cooled c. Neither heated nor cooled d. First heated and then of a cooled
  • 85. 83 Problem Energy of all molecules of a monatomic gas having a volume V and pressure P is 3/2 PV. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure, is : a. 1/2PV b. 3/2PV c. 5/2PV d. 3 PV
  • 86. 84 Problem Three rods of the same dimensions have thermal conductivities 3K, 2 K and K. They are arranged as shown in figure with their ends at 1000C, 500C and 200C. The temperature of their junction is : a. 600 b. 700 c. 500 d. 350
  • 87. 85 Problem An electron moving in a circular orbit of radius r makes n revolutions per second. As a result the magnetic field produced at the centre is : ne a. B 0 2 r n2e b. B 0 2r ne c. B 0 2r d. B = 0
  • 88. 86 Problem A concave mirror of a radius of curvature 1 m is placed at the bottom of a tank of water. The mirror forms an image of the sun, when it is directly overhead. Calculate the distance of the image from the mirror for 80 cm of water in the tank : a. 30 cm b. 50 cm c. 40 cm d. 10 cm
  • 89. 87 Problem A ray PQ incident on the refracting face BA is refracted in the prism BAC as shown in the figure and emerges from the other refracting face AC as RS, such that AQ = AR. If the angle of prism A = 600 and the refractive index of the material of prism is , then the angel of deviation of the ray is: a. 600 b. 450 c. 300 d. None of these
  • 90. 88 Problem When an object is moved along the axis of a convex lens, the size of image is obtained half times the size of the object. When the object is at a distance d1 or at a distance d2 from the lens, then the focal length of the lens is: a. d1d2 b. d1 / d2 c. 1 d1 d2 2 d. 1 d1 d2 2
  • 91. 89 Problem In a Galilean telescope, the inverted image formed by its objective serves as a virtual object for its eyepiece. If the eyepiece has to from an inverted and magnified image of the virtual object, the eyepiece has to be a concave lens and it must be so placed that the virtual object falls: a. Within F b. Between F and 2F c. At 2F d. Beyond 2F
  • 92. 90 Problem In Fraunhofer diffraction pattern due to narrow slit a screen is placed 2 m away from the lens to obtain the pattern. If the slit width is 0.2 mm on either sides of the central maximum, the wavelength of light used is : a. 5000 Å b. 2000 Å c. 1500 Å d. 1000 Å
  • 93. 91 Problem In an electromagnetic field, the amplitude of magnetic field is 3 x 10-10 T. If the frequency of the wave is 1012 Hz, then the amplitude of the associated electric field will be : a. 9 x 10-2 V/m b. 3 x 10-2 V/m c. 3 x 10-10 V/m d. 9 V/m
  • 94. 92 Problem The centre of a circular table has radius r. The illuminance at the centre of the table is eight times that at its circumference. The height of the lamp above the table is : a. R b. r 2 r c. 3 r d. 7
  • 95. 93 Problem The spectral lines of Lyman series lie in which region of the spectrum ? a. Ultraviolet b. Visible c. Near infrared d. Far infrared
  • 96. 94 Problem For an atom, the energy level corresponding to ground state is E1, the metastable state is E2 and an excited state above the metastable state is E3. If the number of atoms in these states are N1, N2 and N3 respectively, then in relation to laser action, the population inversion means that : a. N2 < N1 b. N2 > N1 c. N3 < N3 d. N3 > N1
  • 97. 95 Problem An alpha particle is acceleration through a potential difference of 200 V. The increase in its kinetic energy is : a. 100 eV b. 200 eV c. 400 eV d. 800 eV
  • 98. 96 Problem The rest mass of an electron as well as that of positron is 0.51 MeV. When an electron and positron are annihilated, they produce gamma-rays of wavelength : a. 0.012 Å b. 0.024 Å c. 0.012 Å to ∞ d. 0.024 Å to ∞
  • 99. 97 Problem When forward bias is applied to a p-n junction, then what happens to the potential barrier VB, and the width of charge depleted region x ? a. VB Increases, x decreases b. VB decreases, x increases c. VB Increases, x increases d. VB decreases, x decreases
  • 100. 98 Problem Zener breakdown in a semiconductor diode occurs when : a. Forward current exceeds certain value b. Reverse bias exceeds certain value c. Forward bias is equal to certain value d. Potential barrier is reduced to zero
  • 101. 99 Problem A transistor connected in common-emitter configuration has input resistance RCE = 2 kΩ and load resistance of 5 kΩ If = 60 and an input signal 12 mV is applied. Calculate the voltage gain, the power gain and the value of output voltage are : a. AV = 150, Vout = 1.8 V and power gain = 9000 b. AV = 20, Vout = 1.8 V and power gain = 2000 c. AV = 150, Vout = 1.8 V and power gain = 8500 d. AV = 20, Vout = 1.5 V and power gain = 2000
  • 102. 100 Problem To get an output 1 from the circuit shown in the figure, the input must be : a. A = 0, B = 1, C = 0 b. A = 1, B = 0, C = 0 c. A = 1, B = 0, C = 1 d. A = 1, B = 1, C = 0
  • 103. FOR SOLUTIONS VISIT WWW.VASISTA.NET

Editor's Notes

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