Final answer:
The correct answer to the student's question is that inside a uniform spherical shell, the gravitational field is zero, the gravitational potential is not zero, but is the same everywhere. The most appropriate answer is (a),(c) and (d) only.
Step-by-step explanation:
The student's question revolves around the properties of the gravitational field and potential inside a uniform spherical shell. According to the shell theorem, within a hollow spherical shell of mass, the gravitational field is zero everywhere inside the shell. This is because the mass of the shell exerts no net gravitational force at any point inside of it. However, this does not mean that the gravitational potential is also zero.
The gravitational potential is constant throughout the interior of the shell. This is because gravitational potential is a scalar quantity and the potential due to each infinitesimally small mass element of the shell adds up to the same value at every point inside the shell.
The correct option that describes this phenomenon is (d) the gravitational potential is the same everywhere.
Therefore, the correct option, the right choice is that inside a uniform spherical shell, the gravitational field is zero, the gravitational field is the same everywhere, and the gravitational potential is the same everywhere, but the gravitational potential itself is not zero.