Gravitational potential at `X= 2 m` is decreasing at a rate of `10 J//kg - m` along the positive x- direction. It implies that the magnitude of gravitational filed at `X = 2m` is also `10 N//kg`. Is this statement true or false?

Options

A. True
B. False
C. Neither true nor false
D. None of the above

Explanation

To determine whether the statement is true or false, we need to analyze the relationship between gravitational potential and gravitational field.

### Step 1: Understand the relationship between gravitational potential and gravitational field.
The gravitational field \( \mathbf{E} \) is related to the gravitational potential \( V \) by the equation:
\[ \mathbf{E} = -\nabla V \]
This means that the gravitational field is the negative gradient of the gravitational potential.
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