At what depth from the surface of the earth, the acceleration due to gravity will be half the value of g on the surface of the earth ?

Explanation

To solve the problem of finding the depth from the surface of the Earth where the acceleration due to gravity is half the value of \( g \) on the surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula for Acceleration due to Gravity at Depth:**
The acceleration due to gravity at a depth \( d \) below the surface of the Earth is given by the formula:
\[
g_d = g \left(1 - \frac{d}{R}\right)
...