If both the mass and the radius of the ear

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If both the mass and the radius of the earth decrease by $1\%$, the value of the acceleration due to gravity will

A

Decrease by $1\%$

B

Increase by $1\%$

C

Increase by $2\%$

D

Remain unchanged

If both the mass and the radius of the earth decrease by $1\%$, the value of the acceleration due to gravity will

As $g = \frac{{GM}}{{{R^2}}}$ therefore $1\%$ decrease in mass will decreases the value of $g$ by $1\%.$

But $1\%$ decrease in radius will increase the value of $g$ by $2\%.$

As a whole value of $g$ increase by $1\%.$