The acceleration due to gravity is found upto an accuracy of $4 \,\%$ on a planet. The energy supplied to a simple pendulum to known mass ' ${m}$ ' to undertake oscillations of time period $T$ is being estimated. If time period is measured to an accuracy of $3\, \%$, the accuracy to which ${E}$ is known as $..........\,\%$

A particle of mass $10\, g$ is kept of the surface of a uniform sphere of mass $100\, kg$ and a radius of $10\, cm .$ Find the work to be done against the gravitational force between them to take the particle far away from the sphere. (you make take $\left.G=6.67 \times 10^{-11} Nm ^{2} / kg ^{2}\right)$

If the earth suddenly shrinks (without changing mass) to half of its present radius, the acceleration due to gravity will be

When a body is taken from the equator to the poles, its weight

The acceleration due to gravity on the surface of earth is $g$. If the diameter of earth reduces to half of its original value and mass remains constant, then acceleration due to gravity on the surface of earth would be :

If the Earth losses its gravity, then for a body