At what depth is the value of 'g' same as at a height of 40 km from the surface of earth.

Explanation

To solve the problem of finding the depth at which the value of 'g' is the same as at a height of 40 km from the surface of the Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Change in 'g' with Height:**
The acceleration due to gravity 'g' at a height 'h' above the Earth's surface can be expressed as:
\[
g' = g_0 \left(1 - \frac{2h}{R}\right)
...