AIEEE 2005

**Sample Questions**

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

- Angular momentum and Planck’s constant
- Impulse and momentum
- Moment of inertia and moment of a force
- Work and torque

The relation between time t and distance *x* is t = *ax ^{2} + bx,* where a and

*b*are constants. The acceleration is :

(a) – 2abv^{2} (b) 2 *bv ^{3}*

(c) – 2av^{3} (d) 2av^{2}

A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at 2m/s^{2}. 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/s^{2} (b) 15 m/s^{2}

(c) 5 m/s^{2} (d) 10 m/s^{2}

Average density of the earth :

- does not depend on g
- is a complex function of g
- is directly proportional to g
- 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

You can grab other AIEEE/JEE(Mains) paper with solutions from **here**. You can find other engineering exams **here**.