# AIEEE 2005 Paper With Solution

AIEEE 2005

Sample Questions

Out of the following pairs, which one does not have identical dimensions ?

1. Angular momentum and Planck’s constant
2. Impulse and momentum
3. Moment of inertia and moment of a force
4. Work and torque

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

(a) – 2abv2 (b) 2 bv3

(c) – 2av3 (d) 2av2

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

(a) 91 m (b) 182 m

(c) 293 m (d) 111 m

F=-kx with k = 15N/m. What will be its initial acceleration, if it is released from a point 20 cm away from the origin ?

(a) 3 m/s2 (b) 15 m/s2

(c) 5 m/s2 (d) 10 m/s2

Average density of the earth :

1. does not depend on g
2. is a complex function of g
3. is directly proportional to g
4. is inversely proportional to g

A 20 cm long capillary tube is dipped in water. The water rises upto 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be:

(a) 8 cm (b) 10 cm

(c) 4 cm (d) 20 cm

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