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

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

A body of mass $m$ is taken to the bottom of a deep mine. Then

A body has a weight $90\, kg$ on the earth's surface, the mass of the moon is $1/9$ that of the earth's mass and its radius is $1/2$ that of the earth's radius. On the moon the weight of the body is ………. $kg$

The approximate height from the surface of earth at which the weight of the body becomes $\frac{1}{3}$ of its weight on the surface of earth is $……….km$ : [Radius of earth $R =6400 \,km$ and $\sqrt{3}=1.732]$