Question

If the radius of the earth shrinks by 1.5% (mass remaining same), then the value of acceleration due to gravity changes by [BHU 1997]

A) 1% B) 2% C) 3% D) 4%

Answer 1

Hey.

Here is the answer.

g = G M / R^2

as, R is decreased by 1.5%

So, new Radius , R' = R - 0.015 R = 0.985R

So, new g, g' = G M / (0.985R)^2

= 1.0306 G M/ R^2

So, change = 0.0306

% change = 3 % (approx)

Thanks .

Answer 2

here is your answer