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 = 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 :
- 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