Question

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

• A. 1%
• B. 2%
• C. 3%
• D. 4%

Answer 1

Answer: (C)

3%

Answer 2

$g \propto \frac { 1 } { R ^ { 2 } }$

Percentage change in g = 2(percentage change in R)

$= 2 \times 1.5 = - 3 \%$