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  4. A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be :

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Q. A solid sphere of mass $'M'$ and radius $'a'$ is surrounded by a uniform concentric spherical shell of thickness $2a$ and mass $2M$. The gravitational field at distance $'3a'$ from the centre will be :

JEE MainJEE Main 2019Gravitation

Solution:

We use gauss's Law for gravitation
$g. 4 \pi r^2$ = (Mass enclosed) 4$\pi$G
$g = \frac{3M4 \pi G}{4 \pi (3a)^2}$
$= \frac{MG}{3a^2}$
Option (2)

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