1. aipmtPast papers
PHYSICS- UNSOLVED PAPER - 2007

2. 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.Indicateyou choice ofthe correctanswer foreach part inyour answer-book bywritingthe letter (a), (b), (c) or (d)whicheveris appropriate
.
3. 01
Problem
The primary & secondary coils of a transformer have 50 & 1500 turns respectively. If the magnetic fluxlinked with the primary coil is given by ,
whereis the webers, t is time in seconds &is a constant, the output voltage across the secondary coil is
120 volts
220 volts
30 volts
90 volts
4. Problem
02
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
In a circular orbit
Along a parabolic path
Along a straight line
In an elliptical orbit.
5. Problem
03
The position x of a particle with respect to time t along x-axis is given by
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?
54m
81m
24m
32m
6. Problem
04
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
a.
b.
c.
d.
7. Problem
05
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
a.
b.
c.
d.
8. Problem
06
Two radioactive substance A & B have decay constantsrespectively. 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
a.
b.
c.
d.
9. Problem
07
In the following circuit, the output y for all possible inputs a and B is expressed by the truth table.
a. ABY
001
011
101
110
b.ABY
001
010
100
110
10. Problem
c.ABY
000
011
101
111
d.ABY
000
010
100
111
11. Problem
08
In a radioactive decay process, the negatively charged emitted - particle are
The electron produce as a result of the decay of neutrons inside the nucleus
The electron produce as a result of the collision of the atoms
The electron orbiting around the nucleus
The electron present inside the nucleus
12. Problem
09
The phase difference between the instantaneous velocity & acceleration of a particle executing simple harmonic motion is

0.70
0
0.5
13. Problem
10
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 ratiowill be proportional to
a.
b.
c. R
d. 1/R
14. Problem
11
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
10
12
4
6
15. Problem
12
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

a.
b.
c.
d.
16. Problem
13
The frequency of the light wave in a material is& wavelength is .The refractive index of material will be
1.50
3.00
1.33
1.40
17. Problem
14
A nucleus has mass represented by M(A,Z). Ifdenotes the mass of proton & neutron respectively & B.E the binding energy in MeV, then
a.
b.
c.
d.
18. Problem
15
The total power dissipated in watt in the circuit shown here is
40
54
4
16
19. Problem
16
If the nucleus has a nuclear radius of about 3.6fm, then Te would have its radius approximately as
9.6fm
12.0 fm
4.8 fm
6.0 fm
20. Problem
17
A block B is pushed momentarily along a horizontal surface with an initial velocity V. ifis the coefficient of sliding friction between B & the surface, block B will come to rest after a time
a.
b. g/V
c. V/g
d.
21. Problem
18
A particle moving along the x-axis has acceleration f, at time t, given by
, 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 particles velocity is
a.
b.
c.
d.
22. Problem
19
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
1000
1250
100
500
23. Problem
20
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?
a.
b.
c.
d.
24. Problem
21
A steady current of 1.5 amp flows through a copper voltmeter for 10min. if the electro chemical equivalent of copper isthe mass of copper deposited on the electrode will be
0.50 g
0.67 g
0.27 g
0.40 g
25. Problem
22
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?
a.
b.
c.
d.
26. Problem
23
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
a.50%
b.90%
c.10%
d. 30%
27. Problem
24
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
a.
b.
c.
d.
28. Problem
25
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
a. Mgl/2
b.
c.
d.
29. Problem
26
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 iswhen it is at A & when it is at B, then
a.
b. The relationship between depends upon the slope of the line AB.
c.
d.
30. Problem
27
The particle executing simple harmonic motion has a kinetic energy . The maximum value of the potential energy & the total energy are respectively
a.
b.
c.
d.
31. Problem
28
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
a.
b.
c.
d.
32. Problem
29
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
a.
b.
c.
d.
33. Problem
30
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
qa along the line joining points ( x=0 , y=0, z=0) & ( x=a , y=a, z=0)
qa along the line joining points ( x=0 , y=0, z=0) & ( x=a , y=a, z=0)
qa along +x direction
qa along +y direction
34. Problem
31
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?
The potential energies of earth& satellite in the two case are equal
are moving with same speed
The kinetic energy of two energies are equal
The time period of is four time of
35. Problem
32
are two vectors &is the angle between them, if , the value ofis
a.
b.
c.
d.
36. Problem
33
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 ).
10.0cm
Any value less than 12.0cm
4.0cm
8.0cm
37. Problem
34
A Charged particle (charged q) is moving in a circle in of radius R with uniform speed v. The associated magnetic moment is given by
qvR
b. qvR/2.
c.
d.
38. Problem
35
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
6.8 eV
13.6 eV
1.7 eV
3.4 eV
39. Problem
36
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
8
16
2
4
40. Problem
37
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
T/8
T/12
T/4
T/4
41. Problem
38
For a cubic crystal structure which one of the following relations indicating the cell characteristics is correct?

a.
b.
c.
d.
42. Problem
39
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
a.
b.
c.
d.
43. Problem
40
A black body is at . It emits energy at a rate which is proportional to
a.
b.
c.
d.
44. Problem
41
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
a.
b.
c.
d.
45. Problem
42
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)?
Centroid
In centre
Circumventer
Orthocenter
46. Problem
43
An engine has an efficiency of 1/6. When the temperature of sink is reduced by , its efficiency is doubled. Temperature of source is
a.
b.
c.
d.
47. Problem
44
What is the value of the inductance L for which the current is maximum in a series LCR circuit with
1mH
Cannot be calculated unless R is known
10mH
100mH
48. Problem
45
Nickel shows ferromagnetic property at room temperature. If temperature is increased beyond Curie temperature, then it will show
Anti ferromagnetism
No magnetic property
Diamagnetism
paramagnetic
49. Problem
46
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
a.
b.
c.
d.
50. Problem
47
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
Depend on both R & v
Is in depend on both R & v
Depend on R & not on v
Depend on v & not on R
51. Problem
48
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
a.
b.
c.
d.
52. Problem
49
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 stefans constant)
a.
b.
c.
d.
53. Problem
50
In the energy band diagram of a material shown below, the open circles & filled circles denote holes & electron respectively. The material is
An insulator
A metal
An n-type semiconductor
An p-type semiconductor
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