If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would

Options

A. 0.01
B. 0.02
C. 0.03
D. 0.04

Answer

A

Explanation

If the radius of the earth were to shrink by one percent, mass remaining the same, the value of g will increase by 2%.
`g=(GM)/(R^(2))`
If mass remains constant, then `g prop (1)/(R^(2))`
% increase in g=2 (% decrease in R)
`=2xx1% = 2%`
Therefore value of g will increase by 2%.