For a small spherical moon

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

For a small spherical moon, the gravitational field strength is measured to be

0.20\,\text{N kg}^{-1}

at a height of

10\,\text{km}

above its surface and

0.05\,\text{N kg}^{-1}

30\,\text{km}

above the surface. Assuming the moon behaves as a point mass, estimate its radius. (a)

20\,\text{km}

(b)

3\,\text{km}

(c)

10\,\text{km}

(d)

40\,\text{km}