The change in the gravitational potential energy when a body of a mass `m` is raised to a height `nR` above the surface of the earth is (here `R` is the radius of the earth)

Options

A. `mgR_(E)(n)/((n-1))`
B. `mgR_(E)`
C. `mgR_(E) (n)/((n+1))`
D. `(mgR_(E))/(n)`

Explanation

To find the change in gravitational potential energy when a body of mass \( m \) is raised to a height \( nR \) above the surface of the Earth, we can follow these steps:

### Step 1: Understand the formula for gravitational potential energy
The gravitational potential energy \( U \) between two masses \( m \) and \( M \) (where \( M \) is the mass of the Earth) at a distance \( r \) from the center of the Earth is given by:
\[ U = -\frac{GMm}{r} \]
where \( G \) is the gravitational constant.
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