Question

If the radius of the earth were to shrink by one per cent, its mass remaining the same, the acceleration due to gravity on the earth’s surface would (a) decrease (b) remain unchanged (c) increase (d) None of these

Answer 1

Answer:

c)increase

Explanation:

acceleration due to gravity on earth surface is given by,

$g = \frac{GM}{ {r}^{2} }$

where,

• g=acceleration due to gravity
• G=gravitational constant
• M=mass of earth
• r=radius of earth

in the given eqtn, G is a constant ,M does'nt change (given). therefore,

$g \alpha \frac{1}{ {r}^{2} }$

which shows that as r decrease, g will increase