Question

If the radius of the earth is reduced to ¼ its initial value then the acceleration due to
gravity becomes
(a) Half
(b) Twice
(c) One fourth
(d) Four times

Answer 1

Answer:

16 times

Explanation:

g=GM/r^2

If radius becomes 1/4

r=r/4

then,

g=GM/(r/4)^2

g=GM/r^2/16

g=GM×16/r^2

g= 16×GM/r^2

So,

g becomes 16 times

But there is no option

Maybe question has an error

Answer 2

Answer:

$options \: \: (c)$