Standard Books Physics Potential Energy MCQ Question with Solution

The change in potential energy when a body of mass m is raised to a height nRₑ from Earth's surface is (Rₑ = radius of the Earth)

A

$mgRₑ \frac{n}{(n-1)}$

B

mgRₑ

C

$mgRₑ \frac{n}{(n+1)}$

D

$mgRₑ \frac{1}{n}$

Correct Answer

Option A

Detailed Explanation

The change in potential energy is calculated using the formula for gravitational potential energy difference: $\Delta$ U = mgRₑ $\left$ ( $\frac$ {n}{n-1} $\right$ ). This accounts for the change in height from the Earth's surface to nRₑ.

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