1. aipmt–Past papers<br />PHYSICS- UNSOLVED PAPER - 1996<br />
2. SECTION – I (Total Marks : 50)<br />Single Correct Answer Type<br />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<br />
3. 01<br />Problem<br />The minimum wavelength of the X-rays produced by electrons accelerated through a potential difference of V volts is directly proportion to<br />a.1/v<br />b. √v<br />c. V2<br />d.1/√v<br />
4. Problem<br />02<br />A beam of electrons is moving with constant velocity in a region having electric and magnetic fields of strength 20 Vm-1 and 0.5 T at right angles to the direction of motion of the electrons. What is the velocity of the electrons?<br />8 ms-1<br />5.5 ms-1<br />20 ms-1<br />40 ms-1<br />
5. Problem<br />03<br />An electron beam has a kinetic energy equal to 100 eV. Find its wavelength associated with a beam, if mass of electron = 9.1 x 10-31 kg and 1 eV = 1.6 x 10-19 J/eV. (Planck’s constant = 6.6 x 10-34 J-s)<br />24. 6 Å<br />0.12 Å<br />1.2 Å<br />6.3 Å.<br />
6. Problem<br />04<br />A man fires a bullet of mass 200 gm at speed of 5 m/s. the gun is of one kg mass. By what velocity the gun rebounds backward?<br />1 m/s<br />0.01m/s<br />0.1m/s<br />10 m/s.<br />
7. Problem<br />05<br />In a Fresnel baptism experiment, the two positions of lens give separation between the slits as 16 cm and 9 cm respectively. What is the actual distance of separation?<br />13 cm<br />14 cm<br />12.5 cm<br />12 cm.<br />
8. Problem<br />06<br />A 10 eV electron is circulating in a plane at right angles to a uniform field at magnetic induction 10-4Wb/m2 (= 1.0 gauss), the orbital radius of electron is <br />11 cm<br />18 cm<br />12 cm<br />16 cm.<br />
9. Problem<br />07<br />A linear harmonic oscillator of force constant 2 x 106 N/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its <br />P.E. is 160 J<br />P.E. is zero <br />P.E. is 100 J<br />P.E. is 120 J <br />
10. Problem<br />08<br />When NPN transistor is used as an amplifier, then<br />Electrons move from collector to base<br />Holes move from base to emitter <br />Electrons move from base to collector <br />Electrons move from emitter to base.<br />
11. Problem<br />09<br />When arsenic is added as an impurity to silicon, the resulting material is<br />n-type conductor <br />n-type semiconductor <br />p-type semiconductor <br />none of these.<br />
12. Problem<br />10<br />When using a triode, as an amplifier, the electrons are emitted by<br />Grid and collected by cathode only <br />Cathode and collected by the anode only <br />Anode and collected by cathode only <br />Anode and collected by the gird and by cathode. <br />
13. Problem<br />11<br />The energy of a hydrogen atom in its ground state is-13.6 eV. The energy of the level corresponding to the quantum number n = 2 in the hydrogen atom is<br />-0.54 eV<br />-3.4 eV<br />-2.72 eV<br />-0.85 eV.<br />
14. Problem<br />12<br />According to Bohr’s principle, the relation between principal quantum number (n) and radius of orbit is<br />a. <br />b.<br />c.<br />d.<br />
15. Problem<br />13<br />In a discharge tube at 0.02 mm, there is formation of<br />Crooke’s dark space<br />Faraday’s dark space<br />Both space partly <br />None of these<br />
16. Problem<br />14<br />A metal ring is held horizontally and bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet is<br />More than g<br />Equal to g<br />Less than g<br />Either ‘a’ or ‘c’.<br />
17. Problem<br />15<br />The magnetic field dB due to a small current element dl at a distance and element carrying current I is<br />a.<br />b.<br />c.<br />d. <br />
18. Problem<br />16<br />The energy stored in a capacitor of capacity C and potential V is given by<br /> a.CV/2<br />b. C2V2/2<br />c. CV2/2<br />d. C2V/2<br />
19. Problem<br />17<br />A point charge + q is placed at the mid-point of cube of side l. The electric flux emerging from the cube is<br /> a.<br />b.<br />c. zero<br />d.<br />
20. Problem<br />18<br />An electron of mass m and charge e is accelerated from rest through a potential difference V in vacuum. Its final velocity will be<br />a. √2eV/m<br />b. √eV/m<br />c. 2V/2m<br />d. eV/m<br />
21. Problem<br />19<br />Light travels through a glass plate of thickness t and having a refractive index . If c is the velocity of light in vacuum, the time taken by light to travel this thickness of glass is <br />a. t/μc<br />b. μt/c<br />c. Tμc<br />d. tc/μ<br />
22. Problem<br />20<br />The work done in turning a magnet of magnetic moment M by an angle of 900 from the meridian, is n times the corresponding work done to turn it through an angle of 600. The value of n is given by<br />1/2<br />1/4<br />2<br />1.<br />
23. Problem<br />21<br />A ray of light from a denser medium strikes a rare medium as shown in figure. The reflected and refracted rays makes an angle of 900 with each other. The angles of refection and refraction are r and r’. The critical angle would be<br />sin-1 (tan r)<br />tan-1 (sin r)<br />sin-1 (tan r)<br />tan-1 (sin r)<br />
24. Problem<br />22<br />At 0 K which of the following properties of a gas will be zero ?<br />Vibration energy <br />Density <br />Kinetic energy <br />Potential energy.<br />
25. Problem<br />23<br />The refractive index of water is 1.33. What will be the speed of light in water ?<br />4 x 108 m/s<br />1.33 x 108 m/s<br />3 x 108 m/s<br />2.25 x 108 m/s<br />
26. Problem<br />24<br />Two sound waves having a phase difference of 600 have path difference of <br />a.λ/6<br />b. λ/3<br />c. 21<br />d. λ/2<br />
27. Problem<br />25<br />A diatomic gas initially at 180C is compressed adiabatically to one eighth of its original volume. The temperature after compression will be<br />395.40C<br />1440C<br />180C<br />887.40C<br />
28. Problem<br />26<br />An ideal gas, undergoing adiabatic change, has which of the following pressure temperature relationship?<br /> = constant <br /> = constant <br /> = constant<br /> = constant<br />
29. Problem<br />27<br />A truth table is give. Which of the following has this type of truth table?<br />AND gate<br />OR gate<br />XOR gate<br />NOR gate<br />
31. Problem<br />29<br />The value of critical temperature in terms of Van der Waals’ constant a and b is given by <br />a.<br />b.<br />c.<br />d.<br />
32. Problem<br />30<br />Two vectors are such that . The angle between the two vectors will be<br />1800<br />00<br />600<br />900<br />
33. Problem<br />31<br />A nucleus ruptures into two nuclear parts, which have their velocity ratio equal to 2 : 1. What will be the ratio of their nuclear size (nuclear radius)?<br />31/2 : 1<br />1 : 31/2<br />21/3 : 1<br />1 : 21/3<br />
34. Problem<br />32<br />A moving body of mass m and velocity 3 km/hour collides with a rest body of mass 2m and sticks to it. Now the combined mass starts to move. What will be the combined velocity ?<br />3km/hour<br />4km/hour<br />1 km/hour<br />2 km/hour<br />
35. Problem<br />33<br />The kinetic energy (Ek) of a photoelectron varies with the frequency (v) of the incident radiation as which of the following graph?<br />a.<br />b.<br />c.<br />d.<br />
36. Problem<br />34<br />A ball is dropped from a spacecraft revolving around the earth at a height of 120 km. What will happen to the ball?<br />It will fall down to the earth gradually <br />It will go very far in the space <br />It will continue to move with the same speed along the original orbit of spacecraft <br />It will move with the same speed, tangentially to the spacecraft. <br />
37. Problem<br />35<br />If a photon has velocity c and frequency v, then which of the following represents its wavelength?<br />a. Hv/c2<br />b. hv<br />c. hc/E<br />d. hv/c<br />
38. Problem<br />36<br />The dimensions of impulse are equal to that of<br />Pressure <br />Linear momentum<br />Force<br />Angular momentum.<br />
39. Problem<br />37<br />The equation of a sound wave is y =0.0015 sin (62.4x + 316t). Find the wavelength of this wave <br />0.3 unit<br />0.2 unit<br />0.1unit<br />cannot be calculated.<br />
40. Problem<br />38<br />A force vector applied on a mass is represented as and accelerates with 1 m/s2. What will be the mass of the body?<br />a.10 kg<br />b.20 kg<br />c.10√2kg<br />d. 2√10kg<br />
41. Problem<br />39<br />A body dropped from a height h with initial velocity zero, strikes the ground with a velocity 3 m/s. Another body of same mass dropped from the same height h with an initial velocity of 4 m/s. Find the final velocity of second mass, with which it strikes the ground<br />5m/s<br />12 m/s<br />3 m/s<br />4 m/s.<br />
42. Problem<br />40<br />A particle starts with S.H.M. from the mean position as shown in the fig. Below. Its amplitude is A and its time period is T. At one time, its speed is half that of the maximum speed. What is this displacement?<br />a.2A/√3<br />b. 3A/√2<br />c.√2A/3<br />d.√3A/2<br />
43. Problem<br />41<br />What will be the formulae of mass of the earth in terms of g, R and G?<br />a.<br />b.<br />c.<br />d.<br />
44. Problem<br />42<br />The velocity of photons is proportional to (where v = frequency)<br />a.1/√v<br />b. V2<br />c. v<br />d. √v<br />
45. Problem<br />43<br />If a convex lens of focal length 80 cm and a concave lens of focal length 50 cm are combined together, what will be their resulting power ?<br />+ 7.5 D<br />-0.75 D<br />+ 6. 5 D<br />-6.5 D.<br />
46. Problem<br />44<br />The density of a cube is measured by meausuring its mass and length of its sides. If the maximum error in the measurement of mass and lengths are 3% and 2% respectively, the maximum error in the measurement of density would be<br />12%<br />14 %<br />7%<br />9 %.<br />
47. Problem<br />45<br />An equation is given here where P = Pressure, V = Volume and = Absolute temperature. If a and b are constants, the dimensions of ‘a’ will be<br />ML-5T-1<br />ML5T1<br />ML5T2<br />M-1L5T2.<br />
48. Problem<br />46<br />Which of the following dimensions will be the same as that of time ?<br />a. L/R<br />b. C/L<br />c.LC<br />d. R/L<br />
49. Problem<br />47<br />Two equal electric currents are flowing perpendicular to each other shown in the figure. AB and CD are perpendicular to each other and symmetrically placed with respect to the currents. Where do we expect the resultant magnetic field to be zero?<br />On CD<br />On AB<br />On both OD and BO<br />On both AB and CD.<br />
50. Problem<br />48<br />A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s. What is its linear velocity at any point on circular path ?<br />20 m/s<br />√2 m/s<br />10 m/s<br />2 m/s.<br />
51. Problem<br />49<br />A 10 N force is applied on a body produce in it an acceleration of 1 m/s2. The mass of the body is <br />15 kg<br />20 kg<br />10 kg<br />5 kg.<br />
52. Problem<br />50<br />What will be the equivalent resistance between the two points A and D?<br />30Ω<br />40 Ω<br />10 Ω<br />10 Ω<br />
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