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(D) For a thin spherical shell of mass $M$ and radius $a$,the gravitational field inside the shell due to the shell itself is zero,and the gravitation

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Neither gravitational field nor gravitational potential is zero inside the shell.

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(D) For a thin spherical shell of mass $M$ and radius $a$,the gravitational field inside the shell due to the shell itself is zero,and the gravitational potential inside is constant and equal to $-GM/a$.However,there is an external particle of mass $M$ at a distance $a$ from the surface of the shell. The distance of this particle from the centre of the shell is $r = a + a = 2a$.This external particle creates a non-zero gravitational field and a non-zero gravitational potential at all points inside the shell.Therefore,inside the shell,the net gravitational field is equal to the field produced by the external particle,and the net gravitational potential is the sum of the constant potential due to the shell and the potential due to the external particle.Thus,neither the net gravitational field nor the net gravitational potential is zero inside the shell.

$A$ particle of mass $M$ is at a distance $a$ from the surface of a thin spherical shell of equal mass $M$ and radius $a$. Which of the following statements is correct regarding the gravitational field and potential inside the shell?

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