AIPMT Physics 1997

aipmt–Past papers PHYSICS- UNSOLVED PAPER - 1997

SECTION – I (Total Marks : 50) Single Correct Answer Type There are five parts in this question. Four choices are given for each part and one of them is correct. Indicate you choice of the correct answer for each part in your answer-book by writing the letter (a), (b), (c) or (d) whichever is appropriate

01 Problem A cylindrical tube, open at both ends has fundamental frequency f in air. The tube is dipped vertically in water, so that half of it is in water. The fundamental frequency of air column is now f/2 3f/4 2f f.

Problem 02 A body moves a distance of 10 m along a straight line under the action of a 5 N force. If the work done is 25 J, then angle between the force and direction of motion of the body is 600 750 300 450.

Problem 03 Tesla is the unit of Electric field Magnetic field Electric flux Magnetic flux

Problem 04 A bar magnet of magnetic moment M is cut into two parts of equal length. The magnetic moment of each part will be M 2M zero 0.5 M.

Problem 05 Two SHM’s with same amplitude and time period, when acting together in perpendicular directions with a phase difference of , give rise to Straight motion Elliptical motion Circular motion None of these

Problem 06 Three copper wires of lengths and cross-sectional areas as ( , A), (2 ,A/2) and ( /2,2A). Resistance is minimum in Wire of cross-sectional area 2 A Wire of cross-sectional area 1/2 A Wire of cross-sectional area A Same in all three cases.

Problem 07 If and are the electric permittivity and magnetic permeability in a free space, ε and μare the corresponding quantities in medium, the index and refraction of the medium is a. b. c. d.

Problem 08 A positively charged particle moving due East enters a region of unifo magnetic field directed vertically upwards. This particle will Move in a circular path with a decreases speed Move in a circular path with a uniform speed Get deflected in vertically upward direction Move in circular path with an increased speed.

Problem 09 The diode used in the circuit shown in the figure has a constant voltage drop at 0.5 V at all current s and a maximum power rating of 100 mille-watts. What should be the value of the resistor R, connected in series and with diode for obtaining maximum current? 6.76 Ω 20 Ω 5Ω 5.6 Ω

Problem 10 A sample of gas expands from volume V1 to V2. The amount of work done by the gas is greatest, when the expansion is Adiabatic Equal in all cases Isothermal Isobaric

Problem 11 An electromagnetic radiation of frequency n, wavelength λ traveling with velocity v in air, enters a glass slab of refractive index μ. The frequency, wavelength and velocity of light in the glass slab will be respectively a. b. c. d.

Problem 12 Standing waves are produced in 10 m long stretched string. If the string vibrates in 5 segments and wave velocity is 20 m/s, the frequency is 5 Hz 10 Hz 2 Hz 4 Hz

Problem 13 The primary winding of a transformer has 500 turns whereas its secondary has 5000 turns. The primary is connected to an A.C. supply 20 V, 50 Hz. The secondary will have an output of 2 V, 50 Hz 2 V, 5 Hz 200 V, 50 Hz 200 V, 500 Hz.

Problem 14 Two parallel wires in free space are 10 cm apart and each carries a current of 10 A in the same direction. The force exerted by one wire on the other, per meter length is 2 x 10-4 N repulsive 2 x 10-7 N repulsive 2 x 10-4 attractive 2 x 10-7 N attractive

Problem 15 Due to earth’s magnetic field, the charged cosmic rays particles Can never reach the pole Can never reach the equator Require greater kinetic energy to reach the equator than pole Require less kinetic energy to reach the equator than pole.

Problem 16 The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun? 4 5 2 3.

Problem 17 A metal ball of mass 2 kg moving with speed of 36 km/h has a head on collision with a stationary ball of mass 3 kg. If after collision, both the balls move together, then the loss in K.E. due to collision is 100 J 140 J 40 J 60 J.

Problem 18 A couple produces Linear and rotational motion No motion Purely linear motion Purely rotational motion.

Problem 19 Two bodies of masses m and 4m are moving with equal K.E. The ratio of their linear momentums is 1 : 2 1 : 4 4 : 1 1 : 1 .

Problem 20 A (100 W, 200 V) bulb is connected to a 160 volts supply. The power consumption would be 100 W 125 W 64 W 80 W.

Problem 21 In an a.c. circuit with phase voltage V and current I, the power dissipated is a. V.I b. Depends on phase angle between V and I c.1/2xV.I d.1/√2xV.I

Problem 22 The current in the following circuit is 2/3 A 1 A 1/8 A 2/9 A

Problem 23 Kirchhoff’s first law, i.e. at a junction, deals with the conservation of Momentum Angular momentum Charge Energy.

Problem 24 From the graph between current (I) and voltage (V) is shown below. Identify the portion corresponding to negative resistance CD DE AB BC.

Problem 25 The correct relationship between the two current gains and in a transistor is a.α=β/1+β b. α=1+β/ β c. β= α/1+ α d. β= α/1- α

Problem 26 The following truth –table belongs to which one of the following four gates? XOR NOR OR NAND

Problem 27 A force of 6 N acts on a body at rest and of mass 1 kg. During this time, the body attains a velocity of 30 m/s. The time for which the force acts on the body is 7 seconds 5 seconds 10 seconds 8 seconds

Problem 28 A shell, in flight, explodes into four unequal parts. Which of the following is conserved? Potential energy Momentum Kinetic energy Both ‘a’ and ‘c’

Problem 29 Which of the following is used as a moderator in nuclear reaction? Cadmium Plutonium Uranium Heavy water.

Problem 30 The center of mass of system of particles does not depend on Position of the particles Relative distances between the particles Masses of the particles Forces acting on the particle.

Problem 31 The escape velocity of a body on the surface of the earth is 11.2 km/s. If the earth’s mass increases to twice its present value and radius of the earth becomes half, the escape velocity becomes 22.4 km/s 44.8 km/s 5.6 km/s 11.2 km/s.

Problem 32 If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec, it covers a distance of 1440 cm 2980 cm 20 m 400 m.

Problem 33 A straight wire of a diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The strength of the magnetic field far away is One-quarter of the earlier value No charge Twice the earlier value One-half of the earlier value .

Problem 34 Which of the following statement is correct? The photocurrent increases with intensity of light The stopping potential increases with increase of incident light The current in photocell increases with increasing frequency The photocurrent is proportional to the applied voltage.

Problem 35 One kilowatt hour is equal to 36 x 10-5 J 36 x 10-5 J 36 x 105 J 36 x 103 J.

Problem 36 Find the torque of a force acting at the point Pressure a. b. c. d.

Problem 37 If two bulbs, whose resistances are in the ratio of 1 : 2 are connected in series, the power dissipated in them has the ratio of 2 : 1 1 : 4 1 : 1 1 : 2

Problem 38 The ball whose kinetic energy is E is thrown at an angle of 450 with the horizontal. Its K.E. at the highest point of its flight will be a. E/√2 b. 0 c. E d. E/2

Problem 39 A black body is at a temperature of 500 K. it emits energy at a rate which is proportional to (500)3 (500)4 500 (500)2

Problem 40 The kinetic energy of an electron. Which is accelerated in the potential difference of 100 volts, is 416.6 cal 6.636 cal 1.602 x 10-17 J 1.6 x 104 J.

Problem 41 The energy of the ground electronic state of hydrogen atom is –13.6 eV. The energy of the first excited state will be -27.2 eV -52.4 eV -3.4 eV -6.8 eV.

Problem 42 To obtain a p-type germanium semiconductor, it must be doped with Indium Phosphorus Arsenic Antimony.

Problem 43 When hydrogen atom is in its first excited level, its radius is ……….. of the Bohr radius. Twice 4 times same half.

Problem 44 The most penetrating radiation out of the following are β -rays γ -rays X-rays α -rays

Problem 45 If the length of a simple pendulum is increased by 2 % then the time period Increases by 1% Decreases by 1 % Increases by 2% Decreases by 2 %.

Problem 46 The position x of a particle varies with time, (t) as The acceleration will be zero at time t is equal to a. a/3b b. zero c. 2a/3b d. a/b

Problem 47 The focal length of converging lens is measured for violet, green and red colours. It is respectively fv,fg,fr. We will get fv < fr fg > fr fv = fg fg > fr

Problem 48 An astronomical telescope of tenfold angular magnification has length of 44 cm. The focal length of the objective Is 44 cm 440 cm 4 cm 40 cm.

Problem 49 Identify the vector quantity among the following Distance Angular momentum Heat Energy.

Problem 50 The efficiency of a Carnot engine operating with reservoir temperature of 1000C and –230C will be a.373+250/373 b. 373-250/373 c. 100+23/100 d. 100-23/100

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AIPMT Physics 1997

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