Earth has mass and radius

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Earth has mass

M

and radius

R

. The Moon has mass

\dfrac{1}{81}M

and radius

\dfrac{1}{4}R

. Identical stones are released from rest through a vertical distance of

45\,\text{m}

above the surfaces of Earth and Moon. What is the ratio of their fall times

t_{\text{Moon}}/t_{\text{Earth}}

? (Neglect atmospheric effects.) (a)

0.41

(b)

6.00

(c)

2.45

(d)

2.25