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# JEE Physics 2005 Exam Questions

#### Multiple Choice Questions

1.

The upper half of an inclined plane with inclination φ is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of friction for the lower half is given by

• 2sinφ

• 2cosφ

• 2tanφ
• tanφ

C.

2tanφ
181 Views

2.

A bullet fired into a fixed target loses half of its velocity after penetrating 3 cm. How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?

• 3.0 cm

• 2.0 cm

• 1.5 cm

• 1.0 cm

D.

1.0 cm

217 Views

3.

A particle is moving eastwards with a velocity of 5 m/s in 10 seconds the velocity changes to 5 m/s northwards. The average acceleration in this time is

• towards north-east
• towards north.
• zero

• towards north-west

D.

towards north-west

199 Views

4.

A car starting from rest accelerates at the rate f through a distance S, then continues at constant speed for time t and then decelerates at the rate f/2 to come to rest. If the total distance traversed is 15 S, then

• S=ft

• S= ft2/72

• S = 1/2 ft2

• S = 1/4 ft2

B.

S= ft2/72

275 Views

5.

The relation between time t and distance x is t=ax2 +bx where a and b are constants. The acceleration is

• −2abv2

• 2bv3

• −2av3

• 2av2

C.

−2av3

t = ax2 + bx by differentiating acceleration = - 2av3

268 Views

6.

A projectile can have the same range R for two angles of projection. If t1 and t2 be the times of flights in the two cases, then the product of the two time of flights is proportional to

• R2

• 1/R2

• 1/R

• R

D.

R

251 Views

7.

An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F1/F2 is

• R1/R2

• (R1/R2)2

• 1

• R2/R1

A.

R1/R2

298 Views

8.

Out of the following pair, which one does NOT have identical dimensions is

• angular momentum and Planck’s constant

• impulse and momentum

• moment of inertia and moment of a force

• work and torque

C.

moment of inertia and moment of a force

221 Views

9.

A smooth block is released at rest on a 45° incline and then slides a distance d. The time taken to slide is n times as much to slide on rough incline than on a smooth incline. The coefficient of friction is

A.

288 Views

10.

A parachutist after bailing outfalls 50 m without friction. When a parachute opens, it decelerates at 2 m/s2. He reaches the ground with a speed of 3 m/s. At what height, did he bail out?

• 91 m

• 182 m

• 293 m

• 111 m

C.

293 m

142 Views

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