Question

The gravitational field at a distance r greater than a is radius of hollow shell of mass m is​

Answer 1

Given :

Radius of hollow shell = a

Mass of hollow shell = m

To Find :

The gravitational field at a distance r ( where r > a) from the centre of hollow sphere = ?

Solution :

We know that  gravitational force of attraction per unit mass of a body is called gravitational field .

∴Gravitational force at a distance r from the centre of the hollow sphere is given as :

$F = \frac{GMm}{r^2}$

Here , M = test mass and m = mass of the hollow shell

So, gravitational field $= \frac{(\frac{GMm)}{r^2} }{M}$

                                    $=\frac{Gm}{r^2}$

So gravitational field at a distance r from the centre of a hollow shell of radius a where r>a  is $=\frac{Gm}{r^2}$