question_answer

The acceleration due to gravity on the planet A is 9 times the acceleration due to gravity on planet B. A man jumps to a height of 2 m on the surface of A. What is the height of jump by the same person on the planet B?            [AIPMT 2003]

A) \[6\,m\]

B) \[\frac{2}{3}\,m\]

C) \[\frac{2}{9}\,m\]

D) \[18\,\,m\]

Correct Answer: D

Solution :

It is given that, acceleration due to gravity on planet A is 9 times the acceleration due to gravity on planet B i.e.,

(i)

From third equation of motion

At planet A,                (ii)

At planet B,                (iii)

Dividing Eq. (ii) by Eq. (iii), we have

From Eq. (i),

or