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Satellites A and B are revolving around ...

Satellites A and B are revolving around the earth. The mass of A is 10 times to mass of B. The ratio of time period `(T_A/T_B)` is x. Find x.

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To solve the problem, we need to find the ratio of the time periods of two satellites A and B revolving around the Earth, given that the mass of satellite A is 10 times the mass of satellite B. ### Step-by-Step Solution: 1. **Understanding the Time Period of a Satellite**: The time period \( T \) of a satellite revolving around a planet can be derived from the gravitational force acting on it and the centripetal force required for circular motion. The formula for the time period is given by: \[ T = 2\pi \sqrt{\frac{R^3}{GM}} ...
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