The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite…

The time period of a satellite of earth is 24 hours. If the separation between the earth and the satellite is decreased to one fourth of the previous value, then its new time period will become.
  1. 4 hours
  2. 6 hours
  3. 12 hours
  4. 3 hours

Solution

From Kepler's law of periods, we know

T2∝R3

⇒T12T22=R13R23⇒T1T22=RR43

⇒T12T22=64

∴T2=248=3 hours

Asked in: JEE Main 2023 (29 Jan Shift 2)

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