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PRACTICE PAPER IIT-JEE PHYSICS– 2007 -II

- Test duration is 2 hours.

Single Option Question
1. A square loop of side 'a' and a straight long wire are placed in the same plane as shown in Figure. The loop has a resistance R and inductance L. The frame is turned through 180o about the axis OO'. What is the electric charge that flows through the loop?

(A)
(B)
(C)
(D)

2. The graph shows the variation of magnification m produced by a thin convex lens with image distance 'v'. The focal length of the lens is large if

(A)	c and b are large	(B)	b and c are small
(C)	b is small and c is large	(D)	b is large and c is small

3. A uniform rod of length L and mass m is free to rotate about a frictionless pivot at one end as shown in Figure. The rod is held at rest in the horizontal position and a coin of mass m is placed at the free end. Now the rod is released. The reaction on the coin is immediately after the rod starts falling is

(A)		(B)	2 mg
(C)	zero	(D)

4. The frequency of a car horn is 400 Hz. If the horn is honked as the car moves with a speed u_s = 34 m/s through still air toward a stationary receiver, the wavelength of the sound passing the receiver is [Velocity of sound = 340 m/s]

(A)

0.765 m

(B)

0.850 m

(C)

0.935 m

(D)

0.425 m

5. In moles of gas in a cylinder under a piston are transferred to infinitely, slowly from a state with a volume of V₀ and a pressure 3P₀ atoms to a state with 3V₀ and a pressure P₀ as shown in Figure. The maximum temperature that the gas will reach in this process, is

(A)		(B)
(C)		(D)

6. A nucleus having mass number 240 decays by

emission to the ground state of its daughter nucleus. The Q value of the process is 5.26 MeV. The energy (in MeV) of the

-particle is

(A)

5.26 MeV

(B)

5.17 MeV

(C)

0.12 MeV

(D)

5.14 eV

Take

Multiple Option Question
7. A body of mass m is pushed with an initial velocity v₀ up an incline of inclination

to the horizontal. The coefficient of friction between the mass and plane is

. The distance that the body will cover before it stops is s. Work done by the frictional force is W. Then

(A)		(B)
(C)		(D)

8. Which of the following statements are incorrect?
(A) Wave pulses in strings are transverse waves.
(B) Sound waves in air are transverse waves of compression and refraction.
(C) The speed of sound in air at 20^oC is twice that at 50^oC.
(D) A 60 db sound has twice the intensity of a 30 db sound.

9. Three identical parallel conducting plates A, B and C are placed as shown. Switches S₁ and S₂ are open and can connect A and C to earth when closed. A charge + Q is given to B.

(A) If S₁ is closed with S₂ open, a charge Q will pass through S_1.
(B) If S₂ is closed with S₁ open, a charge Q will pass through S₂.
(C) If S₁ and S₂ are closed together, a charge

will pass through S₁ and a charge

will pass through S₂.
(D) All the above statements are incorrect.

10.Which of the following statements are correct regarding carbon dating?
(A) It employs carbon-14.
(B) In any living biological system ratio of carbon-12 to carbon-14 changes with aging.
(C) Once a plant or animal is dead, the ratio of carbon-12 to carbon-14 becomes constant.
(D) Some atoms of carbon-13 present in air transform into carbon-14 by absorbing neutrons present in the cosmic rays.

PASSAGE
In the circuit diagram shown in the Figure.

11. The current through 5

(A)

1.25 A

(B)

2.5 A

(C)

6.25 A

(D)

5 A

12. The current through 25 V battery is

(A)

12.5 A

(B)

6.25 A

(C)

2.5 A

(D)

1.25 A

13. The potential difference between the terminals of 10 V battery is

(A)

10 V

(B)

12.5 V

(C)

7.5 V

(D)

5 V

PASSAGE

The potential energy of two identical masses m and m connected by a spring constant k is given by

where 'r' is the distance between the masses at any instant of time 't' during oscillation of the system. Then

14. Natural length 'r'₀ of the spring is

(A)

(B)

(C)

(D)

15. The spring constant k of the spring is

(A)

(B)

(C)

(D)

16. The vibrational frequency of the system is

(A)		(B)
(C)		(D)

Subjective Question
17. A ray of light of intensity I is incident on parallel glass slab at point A as shown in Figure. It undergoes partial reflection and refraction. At each reflection, 25% of incident energy is reflected. The rays AB and A' B' undergoes interference. What is the ratio

18. Two trains A and B simultaneously start moving along parallel tracks from station along same direction. A starts with constant acceleration 2 ms^-2 from rest, while B with the same acceleration but with initial velocity of 40 ms^-1. 20 second after start, passangers of A hears whistle of B. If frequency of whistle is 1194 Hz and velocity of sound in air is 322 ms^-1, calculate frequency observed by the passanger.

Match the following (with only one choice correct)
19. Match List I (Radioactive decay: Parent to Daughter) with List II (Type of decay)

	List I		List II
(A)		(P)	gamma decay
(B)		(Q)	positron beta decay
(C)		(R)	alpha decay
(D)		(S)	electron beta decay

20.	Column I		Column II
(A)	Phase change	(P)	Heat current
(B)	Thermal resistance	(Q)	Stefan's constant
(C)	Blackbody	(R)	Latent heat
(D)	Emissive power	(S)	Good emitter

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