Question Detail
Question
In a spherically symmetric gravitational field, the relationship between the gravitational field g_r (radial component) and the gravitational potential V is:
Correct Answer
Option B is the correct answer.
Detailed Explanation
From the lecture, for a conservative force, the work done is related to the decrease in potential energy: g_r dr = -dV, which leads to g_r = -dV/dr. The field points in the direction of decreasing potential.
Hint
The force (and field) points in the direction of steepest descent of potential.