Question 1: What will be the phase difference between virtual voltage and virtual current, when the current in the circuit is wattless.

A: 90o

B: 45o

C: 180o

D: 60o

Correct Answer : A

Question 2: If in the nature there may not be an element for which the principal quantum number n>4, then the total possible number of elements will be

A: 60

B: 32

C: 4

D: 64

Correct Answer : A

Question 3: A body of mass m is moving in a circle of radius r with a constant speed ?. The force on the body is m?2/r and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle

A: m?2/r x pr

B: Zero

C: m?2/r2

D: pr2/m?2

Correct Answer : B

Question 4: A bomb of mass 9Kg explodes into two pieces of masses 3Kg and 6Kg. The velocity of the 3Kg mass is 16 ms-1. Then kinetic energy of 6Kg mass is

A: 288J 

B: 96J 

C: 10.125J 

D: 192J 

Correct Answer : D

Question 5: The image of the sun is formed on the photosensitive metal with a convex lens and the photoelectric current is I . If the lens is replaced by another similar lens of half the diameter and double the focal length, then photoelectric current will be

A: I 

B: I/4 

C: I/8 

D: I/16 

Correct Answer : D

Question 6: A choke coil has

A: Low inductance and high resistance 

B: High inductance and low resistance 

C: High inductance and high resistance 

D: Low inductance and low resistance 

Correct Answer : B

Question 7: Three copper wires have lengths and cross-sectional areas of (l and A), (2l and A/2) and (l/2 and 2A). Resistance will be minimum in

A: wire of cross-sectional area A

B: wire of cross-sectional area A/2

C: wire of cross-sectional area 2A

D: same in all three cases

Correct Answer : C

Question 8: Two cells A and B are connected in the secondary circuit of a potentiometer one at a time and the balancing length are respectively 400cm and 440cm. The e.m.f of the cell A is 1.08 volt. The e.m.f of the second cell B in volts is

A: 1.08 

B: 1.188 

C: 11.88 

D: 12.8 

Correct Answer : B

Question 9: A wheel having metal spokes of 1m long between its axle and rim is rotating in a magnetic field of flux density 5 x 10 - 5 T normal to the plane of the wheel. An e.m.f of 22/7 m V is produced between the rim and the axle of the wheel. The rate of rotation of the wheel in radians per second is

A: 10

B: 20

C: 30

D: 4

Correct Answer : B

Question 10: Two electric charge 12 µ C and - 6 µ C are places 20 cm apart in air. There will be a point P at which electric potential is zero on the line joining these two charges and outside, excluding the region between them. The distance of P from - 6 µ C charge is

A: 0 • 10 m

B: 0 • 15 m

C: 0 • 20 m

D: 0 • 25 m

Correct Answer : C

Question 11: There is a uniform electric field of strength 103 V m-1 along Y-axis. A body of mass 1 gm and charge 10 - 6 C is projected into the field from orgin along the positive X-axis with a velocity of 10 ms-1 . Its speed in ms-1 after 10s is (Neglect graviation )

A: 10

B: 5 v2

C: 10v2

D: 20

Correct Answer : C

Question 12: Pulling force making an angle ? to the horizontal is applied on a block of weight W placed on a horizontal table. If the angle of friction is a. then the magnitude of force required to move the body is equal to

A: W sin a/g tan (?-a)

B: W cos a/cos(?-a)

C: W sin a/cos(?-a)

D: W tan a/sin(?-a)

Correct Answer : C

Question 14: The acceleration due to gravity at a height above the surface of the earth is 9ms-2 . Its value at a point at an equal distance below the surface of the earth is (take g = 10ms-2 on the surface)

A: 8 m s - 2

B: 11 m s - 2

C: 9 • 5 ms - 2

D: 7 • 5 ms- 2

Correct Answer : C

Question 15: There are two identical vessels filled with equal amounts of ice. The vessels are of different metals. If the ice melts in the two vessels in 20 and 35 minutes respectively, the ratio of the coefficients of thermal conductivity of the two metals is

A: 4: 7

B: 7: 4

C: 16: 49

D: 49: 16

Correct Answer : B

Question 16: Kinetic theory of gases provide a base for

A: Charle's law

B: Boyle's law

C: Charle's law and Boyle's law

D: None of these

Correct Answer : C

Question 17: A straight wire of diameter 0.5 mm carrying a current of 1 A is replaced by another wire of 1 mm diameter carrying the same current. The magnetic field far away will be

A: twice the earlier value

B: same as the earlier value

C: one-half of the earlier value

D: one-quarter of the earlier value

Correct Answer : B

Question 18: Two concentric circular coils of ten turns each are situated in the same plane. Their radii are 20 cm and 40 cm and they carry respectively 0.2 A and 0.3 A currents in opposite direction. The magnetic field in tesla at the centre is

A: 35 µ 0 / 4 

B: µ 0 / 80 

C: 7 µ 0 / 80 

D: 5 µ 0 / 4 

Correct Answer : D

Question 19: The direction of magnetic line of force of a bar magnet is

A: From south to north pole

B: From north to south pole

C: Across the bar magnet

D: From south to north pole inside the magnet and from north to south pole outside the magnet

Correct Answer: B

Question 20: 24 cm3 of water flows per second through a capillary tube of radius r cm and length l cm, when connected to a pressure head h cm of water. If a tube of the length l/2 cm and radius r/2 cm is connected to the same pressure head, then volume of water flowing per second through the tube is

A: 3 cm3-s?1

B: 6 cm3-s?1

C: 12 cm3-s?1

D: 24 cm3-s?1

Correct Answer : A

Question 21: A cord is wound round the circumference of wheel of radius r. The axis of the wheel is horizontal and moment of inertia about it is I. A weight mg is attached to the end of the cord and falls from rest. After falling through a distance h, the angular velocity of the wheel will be

A: [2mgh/I+mr2]1/2

B: [2mgh/I+2mr2]1/2

C: v2gh

D: None of these

Correct Answer : A

Question 22: A man throws a ball vertically upward and it rises through 20 m and returns to his hands. What was the initial velocity (u) of the ball and how much time (t) it remained in the air? (g = 10 m/s2)

A: u = 10 m/s, T = 2s

B: u = 10 m/s, T = 42s

C: u = 20 m/s, T = 2s

D: u = 20 m/s, T = 4s

Correct Answer : D

Question 23: The angularspeed of seconds needle in a mechanical watch is

A: p/30

B: 2p

C: p

D: 60/p

Correct Answer : C

Question 24: Three light strings are connected at the point P. A weight W is suspended from one of the strings .End A of string AP and end B of string PB are fixed as shown .In equilibrium PB is horizontal and PA makes an angle of 60o with the horizontal .If the tension in PB is 30 N then the tension in PA and weight W are respectively

A: 60 N ;30 N

B: 60 / v33 N; 30/v33N

C: 60 N; 30 v33 N

D: 60 v33 N; 30 v33 N

Correct Answer : C

Question 25: A body of mass m is moving in a circle of radius r with a constant speed ?. The force on the body is m?2/r and is directed towards the centre. What is the work done by this force in moving the body over half the circumference of the circle

A: m?2/r x pr

B: Zero

C: m?2/r2

D: pr2/m?2

Correct Answer : B

Question 26: If tube length of astronomical telescope is 105 cm and magnifying power is 20 for normal setting, calculate the focal length of objective

A: 100 cm 

B: 10 cm 

C: 20 cm 

D: 25 cm 

Correct Answer : A

Question 27: The period of simple pendulum is doubled, when

A: The mass of the bob is doubled

B: Its length is made four times

C: The mass of the bob and the length of the pendulum is doubled

D: Its length is doubled

Correct Answer : B

Question 28: A particle of mass m is projected with the velocity ? making an angle of 45o with the horizontal. The magnitude of the angular momentum of the particle about the point of projection when the particle is at its maximum height is (where g = acceleration due to gravity)

A: zero

B: m ?³/(4v2g)

C: m ?³/(v2g)

D: m ?²/v2g

Correct Answer : B

Question 29: Which of the following statements is correct about rainbow ?

A: In primary rainbow, red colour is on the outside and violet colour is on the inside,

B: In primary rainbow, violet colour is on the outside and red colour is on the inside

C: Secondary rainbow is brighter than primary rainbow

D: In secondary rainbow, light wave suffers one total internal reflection before coming out

Correct Answer : A

Question 30: In a uniform circular motion (horizontal) of a ball tied with a string, velocity at any time is at angle ? with acceleration, then ? is = 60

A: ? = 60°

B: ? =30°

C: ? = 90°

D: None of these

Correct Answer : C

Question 31: A boat is moving with a velocity 3i^+4j^ with respect to the ground. The water in the river is flowing with a velocity -3i^-4j^ with respect to the ground. The velocity of the boat relative to the water is

A: 8j^

B: 6i^+8j^

C: -6i^-8j^

D: 5v2i^

Correct Answer: B

Question 32: A particle is simultaneously acted upon by two forces, one of 3 N and the other of 4 N. The net force on the particle is

A: 7 N

B: 5 N

C: 1 N

D: between 1 N and 7 N

Correct Answer: D

Question 33: A square frame of side L is dipped in a liquid. On taking out, a membrane is formed.If the surface tension of the liquid is T, the force acting on the frame will be

A: 2TL 

B: 4TL 

C: 8TL 

D: 10TL 

Correct Answer : C

Question 34: A copper voltmeter is in series with a heater coil of resistance 0.1 ?. A steady current flows in the circuit for 20 min and a mass of 0.99 g of copper is deposited at the cathode. If electrochemical equivalent of copper is 0.00033 g-C?¹, then heat generated in the coil is

A: 250 J

B: 350 J

C: 650 J

D: 750 J

Correct Answer : D

Question 35: The resistance of a cell does not depend on

A: Current drawn from the cell

B: Temperature of electrolyte

C: Concentration of electrolyte

D: The emf of the cell

Correct Answer : D

Question 36: 22 gram of CO2 at 27°C is mixed with 16 gram of oxygen at 37°C. The temp. of the mixture is

A: 32°C

B: 27°C

C: 37°C

D: 30°C

Correct Answer : A

Question 37: The first law of thermodynamics is concerned with the conservation of

A: Momentum

B: Energy

C: Mass

D: Temperature

Correct Answer : B

Question 38: Unit of impulse is

A: Newton

B: Kg-m

C: Kg-m/s

D: Joule

Correct Answer : C

Question 39: If the measurement of a length is made as (227±1) mm, then percentage error in the measurement is

A: 0.11%

B: 0.22%

C: 0.33%

D: 0.44%

Correct Answer : D

Question 40: The maximum intensity in interference pattern is how many times the intensity due to each slit?

A: Two times 

B: Four times 

C: Eight times 

D: Ten times 

Correct Answer : B

Question 41: The equation of a sound wave is 

y = 0.0015 sin (62.4x + 316t) 

The wavelength of this wave is

A: 0.2 unit

B: 0.1 unit

C: 0.3 unit

D: Cannot be calculated

Correct Answer : B

Question 42: On stretching a spring by 0.1 m, a elastic potential energy of 5 J is stored in it. The force constant of the spring is

A: 100 N-m?¹

B: 250 N-m?¹

C: 500 N-m?¹

D: 1000 N-m?¹

Correct Answer : D

Question 43: A bullet mass 10 gm is fired from a gun of mass 1 kg. If the recoil velocity is 5 m/s, the velocity of the muzzle is

A: 0.05 m/s

B: 5 m/s

C: 50 m/s

D:  500 m/s

Correct Answer : D