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The total potential at a specific location is the sum of the potential caused by a spherical shell and the potential due to a particle.

1. V = -GM/a + 2GM/a
2. V = -3GM/a
3. V = GM/a
4. V = GM/a + GM/(a/2)

Correct answer: V = -GM/a + 2GM/a

Solution

The potential at a point due to a spherical shell is constant inside the shell and equals -GM/a. Adding the potential due to the particle, which is +2GM/a, gives the total potential as -GM/a + 2GM/a.

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