At what depth from the surface of the earth, the acceleration due to gravity will be `(1)/(4)` th the value of g on the surface of the eath ?

Explanation

To find the depth from the surface of the Earth where the acceleration due to gravity is one-fourth of its value on the surface, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Relationship**:
The acceleration due to gravity at a depth \( d \) from the surface of the Earth is given by the formula:
\[
g' = g \left(1 - \frac{d}{R}\right)
...