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(D) Inside a uniform spherical shell of mass $M$ and radius $a$,the gravitational field due to the shell itself is zero. However,there is an external

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

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(D) Inside a uniform spherical shell of mass $M$ and radius $a$,the gravitational field due to the shell itself is zero. However,there is an external particle of mass $M$ at a distance $a$ from the surface (i.e.,at a distance $2a$ from the center of the shell). $1$. Gravitational Field: The net gravitational field inside the shell is the vector sum of the field due to the shell (which is $0$) and the field due to the external particle. Thus,the net field is not zero. $2$. Gravitational Potential: The net gravitational potential inside the shell is the sum of the potential due to the shell (which is constant,$V_{shell} = -GM/a$) and the potential due to the external particle. Since the potential due to the external particle is non-zero,the net potential is also not zero. Therefore,neither the gravitational field nor the gravitational potential is zero inside the shell due to the presence of the external mass $M$.

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

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