At what altitude , the acceleration due to gravity reduces to half of its value as that on the surface of the earth ? Take radius of earth as `6 . 4 xx 10^(6)` m , g on the surface of the earth as `9.8 m//s ^(2)` .

Explanation

To find the altitude at which the acceleration due to gravity reduces to half of its value at the surface of the Earth, we can follow these steps:

### Step 1: Understand the formula for gravitational acceleration
The acceleration due to gravity \( g \) at a distance \( r \) from the center of the Earth is given by the formula:
\[ g = \frac{GM}{r^2} \]
where:
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