At what height from the surface of earth the value of g is same as at a depth of `(R )/(4)` ?

Explanation

To solve the problem, we need to find the height \( h \) from the surface of the Earth where the value of \( g \) is the same as at a depth of \( \frac{R}{4} \). Here are the steps to arrive at the solution:

### Step 1: Determine the value of \( g \) at a depth of \( \frac{R}{4} \)

The formula for the acceleration due to gravity at a depth \( d \) is given by:

\[
g_d = g \left(1 - \frac{d}{R}\right)
...