Two satellites are revolving round the earth at different heights. The ratio of their orbital speeds is 2 : 1. If one of them is at a height of 100 km, what is the height of the other satellite ?

Explanation

To solve the problem of finding the height of the second satellite given the height of the first satellite and the ratio of their orbital speeds, we can follow these steps:

### Step 1: Understand the relationship between orbital speed and height
The orbital speed \( v \) of a satellite is given by the formula:
\[ v = \sqrt{\frac{GM}{R + h}} \]
where:
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