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An open pipe is suddenly closed at one end with the result that the frequency of third harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental frequency of open pipe is :
1) 480 Hz
2) 300 Hz
3) 240 Hz
4) 200 Hz

When a horse pulls a wagon, the force that causes the horse to move forward is the force :
1) the ground exerts on him
2) he exerts on the ground
3) the wagon exerts on him
4) he exerts on the wagon

If a shell fired from a cannon, explodes in mid air, then :
1) its total kinetic energy increases
2) its total momentum increases
3) its total momentum decreases
4) none of the above

The photoelectric effect can be understood on the basis of :
1) the principle of superposition
2) the electromagnetic theory of light
3) the special theory of relativity
4) Planck's quantum theory


Uttar Pradesh State Entrance Examination paper

1. Amplification factor of a triode is 20. Its plate resistance is 10 k
Ω. Then its
mutual
conductance is :
1) 2 × 10-3 mho
2) 500 mho
3) 2 × 104 mho
4) 2 × 103 mho
2. An open pipe is suddenly closed at one end with the result that the frequency of third
harmonic of the closed pipe is found to be higher by 100 Hz, then the fundamental
frequency of open pipe is :
1) 480 Hz
2) 300 Hz
3) 240 Hz
4) 200 Hz
3. If the earth is treated as a sphere of radius R and mass M, its angular momentum about
the axis of its rotation with period T, is :
1) πMR3/T
2) MR2π/T
3) 2πMR2/5T
4) 4πMR2/5T
4. When a horse pulls a wagon, the force that causes the horse to move forward is the force
:
1) the ground exerts on him
2) he exerts on the ground
3) the wagon exerts on him
4) he exerts on the wagon
5. A body intially at 80°C cools to 64°C in 5 min and to 52°C in 10 min. The temperature of
the body after 15 min, will be :
1) 42.7°C
2) 35°C
3) 47°C 1/49
4) 40°C
6. If a shell fired from a cannon, explodes in mid air, then :
1) its total kinetic energy increases
2) its total momentum increases
3) its total momentum decreases
4) none of the above
7. When U235 is bombarded with one neutron, the fission occurs and the products are three
neutrons, 36Kr94 and :
1) 53I
142
2) 56Ba139
3) 58Ce139
4) 54Xe139
8. A particle moves in a circle of radius 25 cm at 2 rev/s. The acceleration of particle is :
1) 2π2m/s2
2) 4π2m/s2
3) 8π2m/s2
4) π2m/s2
9. The photoelectric effect can be understood on the basis of :
1) the principle of superposition
2) the electromagnetic theory of light
3) the special theory of relativity
4) Planck's quantum theory
10. The self-induced emf is 4 H in the coil when current in it changes at the rate of 500 A/s, is :
1) 8 × 10-4 V
2) 8 × 10-3 V
3) 200 V
4) 500 V
11. The energy equivalent to a kilogram of matter is about :
1) 1020 J
2) 1017 J
3) 1014 J
4) 1011 J
2/49
12. The temperature at which the speed of sound in air becomes double of its value at 27°C,
is :
1) -123°C
2) 927°C
3) 327°C
4) 54°C
13. The index of refraction of diamond is 2.0. The velocity of light in diamond is approximately
:
1) 1.5 × 1010 cm/s
2) 2 × 1010 cm/s
3) 3.0 × 1010 cm/s
4) 6 × 1010 cm/s 14. A particle moves along x-axis in such a way that its co-ordinate
(x) varies with time t
according to the expression x = (2 - 5t + 6t
2) m, the initial velocity of the particle is :
1) 3 m/s
2) 6 m/s
3) -3 m/s
4) -5 m/s
15. A force of 100 dyne acts on a mass of 5 g for 10 s. The velocity produced is :
1) 2000 cm/s
2) 200 cm/s
3) 20 cm/s
4) 2 cm/s
16. A current of 1 mA flows through a copper wire. How many electrons will pass through a
given point in each second :
1) 6.25 × 108
2) 6.25 × 1031
3) 6.25 × 1015
4) 6.25 × 1019
17. A hollow sphere of charge does not produce an electric field at any :
1) outer point
2) interior point
3) beyond 2 m
4) beyond 10 m
18. The line on the earth's surface joining the point where the field is horizontal, is called :
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1) magnetic equator
2) magnetic line
3) magnetic axis
4) magnetic inertia
19. How many wavelength of the Kr89 are there in 1 m ?
1) 658189.63
2) 2348123.73
3) 1650763.73
4) 1553164.12
20. A bomb of 12 kg explodes into two pieces of masses 4 kg and 8 kg. The velocity of 8
kg mass is 6 m/s. The kinetic energy of the other mass will be :
1) 288 J
2) 24 J
3) 12 J
4) 48 J
21. Venus looks brighter than other stars, due to :
1) atomic fusion takes place on its surface
2) it is closer to the earth than other stars
3) its has higher density than other stars
4) it is heavier than other stars
22. The equation of wave travelling in a string can be written as
y = 3 cos π (l00t - x), its wavelength is :
1) 5 cm
2) 2 cm
3) 100 cm
4) 3 cm
23. How many calories of heat will be produced approximately in a 210 W electric bulb in 5
min ?
1) 80000 cal
2) 63000 cal
3) 1050 cal
4) 15000 cal
24. An adiabatic process occurs at constant :
1) temperature and pressure
2) heat
3) temperature
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4) pressure
25. Consider an iceberg floating in sea water. The density of sea water is 1.03 g/cc and that of
ice is 0.92 g/cc. The fraction of total volume of iceberg above the level of sea water is
nearby :
1) 1.8% 2) 3% 3) 8% 4) 11%
26. Two lenses of power +12 and -2 D are placed in contact. The combined focal length of the
combination will be :
1) 8.33 cm
2) 16.6 cm
3) 12.5 cm
4) 10 cm
27. A stretched string of length l fixed at both ends can sustain stationary waves of wavelength
λ, given by :
1) λ = 2 ln
2) λ = (2 l/n)
3) λ = (l
2/2 n)
4) λ = (n2/2 l)
28. Eight drops of mercury of equal radius and possessing equal charge combine to form a
big drop. The capacitance of bigger drop as compared to each small drop is :
1) 16 times
2) 8 times
3) 4 times
4) 2 times
29. Two waves having the intensities in the ratio of 9 : 1 produce interference. The ratio of
maximum to the minimum intensity, is equal to :
1) 2 : 1
2) 4 : 1
3) 9 : 1
4) 10 : 8
30. Ultraviolet radiation of 6.2 eV falls on an aluminium of surface (work function 4.2 eV). The
kinetic energy of the faster electron emitted is approximately :
1) 3.2 × 10-15 J
2) 3.2 × 10-17 J
3) 3.2 × 10-19 J
4) 3.2 × 10-21 J
5/49
31. Two heater wires of equal length are first connected in series and then in parallel. The
ratio of heat produced in the two cases is :
1) 1 : 4
2) 4 : 1
3) 1 : 2
4) 2 : 1
32. A cell of emf E is connected across a resistance R. The potential difference between the
terminals of the cell is found to be V volt. Then the internal resistance of the cell must be :
1) (E - V) R
2) ((E - V)/V) R
3) (2(E - V)/E) R
4) (2(E - V)/R) V
33. Two satellites A and B go round a planet in circular orbit having radii 4R and R,
respectively. If the speed of satellite A is 3v, then speed of satellite B is :
1) 3 v/2
2) 4 v/2
3) 6 v
4) 12 v
34. A particle moves in x - y plane under the action of force and
at a given time t is px =
cos t, p 2
y = 2 sin t. Then the angle θ between and at a given time t is :
1) θ = 30°
2) θ = 180°
3) θ = 0°
4) θ = 90°
35. A simple harmonic wave having an amplitude A and time period T is represented by the
equation y = 5 sin π (t + 4)m. Then the value of A in metre and T in second are :
1) A = 10, T = 2
2) A = 5, T = 1
3) A = 10, T = 1
4) A = 5, T = 2
36. In a room where the temperature is 30°C a body cools from 61°C to 59°C in 4 min.
The time (in minutes) taken by the body to cool from 51°C to 49°C will be :
1) 8 2) 5 3) 6 4) 4
37. A tuning fork vibrating with a sonometer having 20 cm wire produces 5 beats/s. The beat
frequency does not change, if the length of the wire is changed to 21 cm, the frequency of
the tuning fork must be :
1) 215 Hz
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2) 205 Hz
3) 210 Hz
4) 200 Hz
38. The potential energy of a certain spring when stretched through a distance s is 10 J. The
amount of work done in joule that must be done on this spring to stretch, it through an
additional distance s, will be :
1) 20 2) 10 3) 30 4) 40
39. The reading of a spring balance when a block is suspended from it in air is 60 N. This
reading is changed to 40 N when the block is submerged in water. The specific gravity of
the block must be therefore :
1) 3/2 2) 6 3) 2 4) 3
40. A double convex thin lens made of glass (refractive index
μ = 1.5) has both radii
of
curvatures of magnitude 20 cm. Incident light rays parallel to the axis of the lens, will
converge at a distance L such that :
1) L = (20/3)
2) L = 40
3) L = 20 cm
4) L = 10 cm
41. An astronomical telescope has a magnifying power 10, the focal length of the eye-piece is
20 cm. The focal length of the objective is :
1) (1/200) cm
2) (1/2) cm
3) 200 cm
4) 2 cm
42. A particle A has a charge q and particle B has charge +4q with each of them having the
mass m. When allowed to fall from rest through same potential difference, the ratio of their
speeds vA : vB will be :
1) 4 : 1
2) 1 : 4
3) 1 : 2
4) 2 : 1
43. When a sound wave of frequency 300 Hz passes through a medium, the maximum
displacement of a particle of the medium is 0.1 cm. The maximum velocity of the particle is
equal to :
1) 60 cm/s
2) 30 cm/s
3) 60π cm/s
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4) 30π cm/s
44. When the current in coil changes form 8 A to 2 A in 3 × 10-2 s, the emf induced in the coil
is 2 V. The self-inductance of the coil is :
1) 10 mH
2) 20 mH
3) 5 mH
4) 1 mH
45. A uniform metal rod of 2 mm2 cross-section is heated from 0°C to 20°C. The coefficient of
the linear expansion of the 20 m rod is 12 × 10-6/°C. If Young's modulus of elasticity is
1011 N/m2, the energy stored per unit volume of the rod is :
1) 1440 J/m3
2) 15760 J/m3
3) 1500 J/m3
4) 2880 J/m3
46. In an electroplating experiment m gram of silver is deposited when 4A of current flows per
2 min. The amount of silver deposited by 6A of a current flowing for 40 s will be :
1) 2m gram
2) (m/4) gram
3) (m/2) gram
4) 4m gram
47. The temperature of a body on Kelvin scale is found to x K. When it is measured by
Fahrenheit thermometer, it is found to be x° F, then the value of x is :
1) 40
2) 313
3) 574.25
4) 301.25
48. A magnetic needle lying parallel to a magnetic field requires W units of work to turn it
through 60°. The torque needed to maintain the needle in the position will be :
1) 2 W
2) √(3) W
3) W
4) √(3 W)
49. A double convex thin lens made of refractive index 1.6 has radii of curvature 15 cm each.
The focal length of this lens when immersed in a fluid of refractive index 1.63, is :
1) 25 cm
2) 125 cm
8/49
3) 250 cm
4) -407.5 cm
50. The wavelength of most energetic X-ray emitted when a metal target is bombarded by 40
keV electron, is approximately :
1) 0.31 Å
2) 4 Å
3) 10 Å
4) 300 Å

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