The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is…

The time period of a satellite revolving around earth in a given orbit is 7 hours. If the radius of orbit is increased to three times its previous value, then approximate new time period of the satellite will be
  1. 36 hours
  2. 40 hours
  3. 30 hours
  4. 25 hours

Solution

From Kepler's Third Law(The Law of Periods), we know

T2∝R3 ⇒T22T12=R2R13=3RR3

Therefore, T2=27T1

=5.19×7≈36 hours

Asked in: JEE Main 2022 (29 Jun Shift 2)

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