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7.Gravitation
normal
A particle of mass $M$ is at a distance $'a'$ from surface of a thin spherical shell of uniform equal mass and having radius $a$

A
Gravitational field & potential both are zero at centre of the shell
B
Gravitational field is zero not only inside the shell but at a point outside the shell also
C
Inside the shell, gravitational field alone is zero
D
Neither gravitational field nor gravitational potential is zero inside the shell
Solution

At centre
$\mathrm{V}_{\mathrm{c}}=-\frac{\mathrm{GM}}{\mathrm{a}}-\frac{\mathrm{GM}}{2 \mathrm{a}}$
$E_{c}=\frac{G M}{(2 a)^{2}}$
At any point $P$ inside $V_{P}=-\frac{G M}{a}-\frac{G M}{b}$
$\mathrm{E}_{\mathrm{p}}=\frac{\mathrm{GM}}{\mathrm{b}^{2}}\{\text { only due to outside mass } \mathrm{M}\}$
Standard 11
Physics