Question

A uniform sphere has radius ' \(R\) ' and mass ' \(M\) '. The magnitude of gravitational field at distances ' \(r_1\) ' and ' \(r_2\) ' from the centre are ' \(E_1\) ' and ' \(E_2\) ' respectively. The ratio \(E_1 : E_2\) is (\(r_1 > R\) and \(r_2 < R\))

• A. \(\frac{R^2}{r_1^2 r_2}\)
• B. \(\frac{R^3}{r_1 r_2}\)
• C. \(\frac{R^3}{r_1^2 r_2}\)
• D. \(\frac{R^3}{r_1 r_2^2}\)

Hint:

Outside a uniform sphere, the gravitational field follows the inverse square law; inside, it is directly proportional to the distance from the center.

Answer 1

The Correct Option is C