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Motion In Straight Line

Question
CBSEENPH11017794

Two satellites are revolving around the earth. One which has time period of revolution 24 hours revolves in orbit of radius R. What is the radius of orbit of second satellite whose time period is 12 hours?

Solution
Given, two satellites are revolving around the Earth. 
Time period of revolution of one satellite = 24 hours
Time  period of the second satellite = 12 hours
According to Kepler’s third law,
                           T2 ∝ R3

Let R’ be the radius of the orbit of the second satellite.
Therefore, the radius of the satellite is,
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                       straight R apostrophe equals open parentheses 1 fourth close parentheses to the power of 1 divided by 3 end exponent space straight R