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# AIPMT Physics 2007

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### AIPMT Physics 2007

1. 1. aipmt–Past papers<br />PHYSICS- UNSOLVED PAPER - 2007<br />
2. 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 />.<br />
3. 3. 01<br />Problem<br />The primary & secondary coils of a transformer have 50 & 1500 turns respectively. If the magnetic flux linked with the primary coil is given by , <br /> where is the webers, t is time in seconds & is a constant, the output voltage across the secondary coil is <br />120 volts<br />220 volts<br />30 volts<br />90 volts<br />
4. 4. Problem<br />02<br />A beam of electron passes undeflected through mutually perpendicular electric & magnetic fields. If the electric field is switch off, & the same magnetic field is maintain, the electrons move<br />In a circular orbit<br />Along a parabolic path <br />Along a straight line<br />In an elliptical orbit.<br />
5. 5. Problem<br />03<br />The position x of a particle with respect to time t along x-axis is given by <br /> where x is in meters & t in second. What will be the position of this particle when it achieves maximum speed along the +x direction?<br />54m<br />81m<br />24m<br />32m<br />
6. 6. Problem<br />04<br />A particle starting from the origin (0, 0) moves in a straight line in the (x,y) plane. Its coordinates at a later time are , 3). The path of the particle make with the x-axis an angle of <br />a.<br />b.<br />c.<br />d.<br />
7. 7. Problem<br />05<br />A car move from X to Y with a uniform speed & returns to Y with a uniform speed . The average speed for this round trip is <br /> a.<br />b.<br />c.<br />d.<br />
8. 8. Problem<br />06<br />Two radioactive substance A & B have decay constants respectively. At t=0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be after the time interval <br />a.<br />b.<br />c.<br />d.<br />
9. 9. Problem<br />07<br />In the following circuit, the output y for all possible inputs a and B is expressed by the truth table.<br />a. A B Y<br /> 0 0 1<br /> 0 1 1<br /> 1 0 1<br /> 1 1 0<br />b. A B Y<br /> 0 0 1<br /> 0 1 0<br /> 1 0 0<br /> 1 1 0<br />
10. 10. Problem<br />c. A B Y<br /> 0 0 0<br /> 0 1 1<br /> 1 0 1<br /> 1 1 1<br />d. A B Y<br /> 0 0 0<br /> 0 1 0<br /> 1 0 0<br /> 1 1 1<br />
11. 11. Problem<br />08<br />In a radioactive decay process, the negatively charged emitted - particle are<br />The electron produce as a result of the decay of neutrons inside the nucleus<br />The electron produce as a result of the collision of the atoms<br />The electron orbiting around the nucleus<br />The electron present inside the nucleus<br />
12. 12. Problem<br />09<br />The phase difference between the instantaneous velocity & acceleration of a particle executing simple harmonic motion is <br />  π<br />0.70π<br />0<br />0.5π<br />
13. 13. Problem<br />10<br />In a mass spectrometer used for the measuring the mass of ions, the ions are initially accelerated by the electric potential V & then made to describe semicircular paths of radius R using a magnetic field B. if V & B are kept constant, the ratio will be proportional to<br />a. <br />b.<br />c. R<br />d. 1/R<br />
14. 14. Problem<br />11<br />A wheel has an angular acceleration of 3.0 rad/ & an initial angular speed of 2.00 rad/sec. in a time of 2sec it is rotated through an angle (in radian) of <br />10<br />12<br />4<br />6<br />
15. 15. Problem<br />12<br />A hollow cylinder has a charge q coulomb within it. If is the electrical flux in unites of voltmeter associated with the curved surface B, the flux linked with the plane surface A in unites of voltmeter will be<br /> <br />a.<br />b. <br />c.<br />d.<br />
16. 16. Problem<br />13<br />The frequency of the light wave in a material is & wavelength is .The refractive index of material will be<br />1.50<br />3.00<br />1.33<br />1.40<br />
17. 17. Problem<br />14<br />A nucleus has mass represented by M(A,Z). If denotes the mass of proton & neutron respectively & B.E the binding energy in MeV, then<br />a.<br />b.<br />c.<br />d.<br />
18. 18. Problem<br />15<br />The total power dissipated in watt in the circuit shown here is<br />40<br />54<br />4<br />16<br />
19. 19. Problem<br />16<br />If the nucleus has a nuclear radius of about 3.6fm, then Te would have its radius approximately as<br />9.6fm<br />12.0 fm<br />4.8 fm<br />6.0 fm<br />
20. 20. Problem<br />17<br />A block B is pushed momentarily along a horizontal surface with an initial velocity V. if is the coefficient of sliding friction between B & the surface, block B will come to rest after a time<br />a.<br />b. g/V<br />c. V/g<br />d.<br />
21. 21. Problem<br />18<br />A particle moving along the x-axis has acceleration f, at time t, given by <br /> , where f0 & T are constant. The particle at t=0 has zero velocity. In the time interval between t=0 & the instant when f=0, the particle’s velocity is <br /> a. <br />b. <br /> c. <br /> d. <br />
22. 22. Problem<br />19<br />A common emitter amplifier has a voltage gain of 50, an input impedance of & an output impedance of . The power gain of the amplifier is<br />1000<br />1250<br />100<br />500<br />
23. 23. Problem<br />20<br />Three resistance P, Q, R each of & an unknown resistance S form the four arms of a Wheatstone bridge circuit. When a resistance of is connected in parallel to S the bridge get balanced. What is the value of S? <br />a.<br />b.<br />c.<br />d.<br />
24. 24. Problem<br />21<br />A steady current of 1.5 amp flows through a copper voltmeter for 10min. if the electro chemical equivalent of copper is the mass of copper deposited on the electrode will be<br />0.50 g<br />0.67 g<br />0.27 g<br />0.40 g<br />
25. 25. Problem<br />22<br />A small coin is resisting on the bottom of a beaker filled with a liquid. A ray of light from the coin travels upto the surface of the liquid & moves along its surface. How fast is the light travelling in the liquid?<br />a.<br />b.<br />c.<br />d.<br />
26. 26. Problem<br />23<br />A transformer is used to a light a 100W & 110V lamp from a 220V mains. If the main current is 0.5amp, the efficiency of the transformer is approximately<br />a.50%<br />b.90%<br />c.10%<br />d. 30%<br />
27. 27. Problem<br />24<br />Dimension of resistance in an electric circuit, in term of dimension of mass M, of length L, of time T & of current I, would be <br />a. <br /> b.<br />c. <br />d. <br />
28. 28. Problem<br />25<br />A uniform rod AB of length l & mass m is free to rotate about point A. the rod released from rest in the horizontal position. Given that the moment of inertia of the rod about A is , the initial angular acceleration of the rod will be<br />a. Mgl/2<br />b.<br />c.<br />d.<br />
29. 29. Problem<br />26<br />A particle of mass m moves in the XY plane with a velocity v along the straight line AB. If the angular momentum of the particle with respect the origin o is when it is at A & when it is at B, then<br />a.<br />b. The relationship between depends upon the slope of the line AB. <br />c. <br />d.<br />
30. 30. Problem<br />27<br />The particle executing simple harmonic motion has a kinetic energy . The maximum value of the potential energy & the total energy are respectively<br />a.<br />b.<br />c.<br /> d.<br />
31. 31. Problem<br />28<br />Charge +q &-q are placed at point A& B respectively which are a distance 2L apart, C is the midpoint between A & B. the work done is moving a charge +Q along the semicircle CRD is  <br />a.<br />b. <br />c.<br />d.<br />
32. 32. Problem<br />29<br />Monochromatic light of frequency is produced by a laser. The power emitted is . the number of photons emitted, on the average, by the source per second is<br />a.<br />b. <br />c.<br /> d.<br />
33. 33. Problem<br />30<br />Three point charges +q,-2q & +q are placed at points ( x=0 , y=a, z=0) , ( x=0 , y=0, z=0) , ( x=a , y=0, z=0) respectively . The magnitude & the direction of the electric dipole moment vector of this charge assembly are<br />qa along the line joining points ( x=0 , y=0, z=0) & ( x=a , y=a, z=0)<br />qa along the line joining points ( x=0 , y=0, z=0) & ( x=a , y=a, z=0)<br />qa along +x direction<br />qa along +y direction<br />
34. 34. Problem<br />31<br />Two satellites of earth, are moving in the same orbit. The mass of is four times the mass of . Which one of the following statement is true?<br />The potential energies of earth & satellite in the two case are equal<br /> are moving with same speed<br />The kinetic energy of two energies are equal<br />The time period of is four time of <br />
35. 35. Problem<br />32<br /> are two vectors & is the angle between them, if , the value of is  <br />a.<br />b. <br />c.<br /> d.<br />
36. 36. Problem<br />33<br />A mass of 2.0kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring & the pan is negligible. When pressed slightly & released the mass executes a simple harmonic motion. The spring constant is 200 N/m .what should be the minimum amplitude of the motion so that the mass gets detached from the pan (take g=10 ).<br />10.0cm<br />Any value less than 12.0cm<br />4.0cm<br />8.0cm<br />
37. 37. Problem<br />34<br />A Charged particle (charged q) is moving in a circle in of radius R with uniform speed v. The associated magnetic moment μ is given by <br />qvR<br />b. qvR/2.<br />c. <br />d. <br />
38. 38. Problem<br />35<br />The total energy of electron in the ground state of hydrogen atom is -13.6 eV. The kinetic energy of an electron in the first excited state is<br />6.8 eV<br />13.6 eV<br />1.7 eV<br />3.4 eV<br />
39. 39. Problem<br />36<br />A 5 watt source emits monochromatic light of wavelength . When placed 0.5m away, it liberates photoelectrons from a photosensitive metallic surface. When the source is moved to a distance of 1.0m, the number of photoelectrons liberated will be reduced by a factor of <br />8<br />16<br />2<br />4<br />
40. 40. Problem<br />37<br />A particle executes simple harmonic oscillation with an amplitude a. the period of oscillation is T. the minimum time taken by the particle to travel half of the amplitude from the equilibrium position is <br />T/8<br />T/12<br />T/4<br />T/4 <br />
41. 41. Problem<br />38<br />For a cubic crystal structure which one of the following relations indicating the cell characteristics is correct?<br /> <br />a.<br />b.<br />c.<br />d. <br />
42. 42. Problem<br />39<br />Two condenser one of capacity C & other of capacity C/2 are connected to a V- volt battery, as shown. The work done in charging fully both the condensers is <br /> a.<br />b.<br />c.<br /> d.<br />
43. 43. Problem<br />40<br />A black body is at . It emits energy at a rate which is proportional to<br />a.<br />b. <br />c.<br /> d.<br />
44. 44. Problem<br />41<br />The resistance of an ammeter is 13 & its scale is graduated for a current up to 100 amps. After an additional shunt has been connected to this ammeter its become possible to measure currents up to 750 amperes by this meter. The value of shunt resistance is<br />a.<br /> b.<br />c. <br />d.<br />
45. 45. Problem<br />42<br />If the vertices P, Q, R of a triangle PQR are rational points, which of the following points of the triangle PQR is (are) always rational points (s)? <br />Centroid<br />In centre<br />Circumventer<br />Orthocenter<br />
46. 46. Problem<br />43<br />An engine has an efficiency of 1/6. When the temperature of sink is reduced by , its efficiency is doubled. Temperature of source is <br />a.<br />b. <br />c.<br /> d.<br />
47. 47. Problem<br />44<br />What is the value of the inductance L for which the current is maximum in a series LCR circuit with<br />1mH<br />Cannot be calculated unless R is known <br />10mH<br />100mH<br />
48. 48. Problem<br />45<br />Nickel shows ferromagnetic property at room temperature. If temperature is increased beyond Curie temperature, then it will show<br />Anti ferromagnetism<br />No magnetic property<br />Diamagnetism<br />paramagnetic<br />
49. 49. Problem<br />46<br />A vertical spring with force constant k is fixed on a table. A ball of mass m at height h above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance d. the net work done in the process is<br />a.<br />b.<br /> c.<br />d.<br />
50. 50. Problem<br />47<br />Under the influence of a uniform magnetic field a charged particle is moving in a circle of a radius R with constant speed v. the time period of the motion<br />Depend on both R & v<br />Is in depend on both R & v<br />Depend on R & not on v<br />Depend on v & not on R<br />
51. 51. Problem<br />48<br />If the cold junction of a thermo- couple is kept at & the hot junction is kept at , then the relation between neutral temperature & temperature of inversion is<br />a.<br />b.<br />c.<br />d.<br />
52. 52. Problem<br />49<br />Assuming the sun to have a spherical outer surface of radius r, radiating like a black body at temperature , the power received by a unit surface ,( normal to the incident ray) at a distance R from the center of the sun is, ( is stefan’s constant) <br />a.<br />b.<br />c.<br />d.<br />
53. 53. Problem<br />50<br />In the energy band diagram of a material shown below, the open circles & filled circles denote holes & electron respectively. The material is<br />An insulator<br />A metal<br />An n-type semiconductor<br />An p-type semiconductor<br />
54. 54. For solution visit www.vasista.net<br />