The time period of a satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become

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T 2 ∝ R 3 ⇒ ( T 2 ​ T 1 ​ ​ ) 2 = ( R 2 ​ R 1 ​ ​ ) 3 ⇒ ( T 2 ​ T 1 ​ ​ ) = ( R 2 ​ R 1 ​ ​ ) 3/2 = ( 4 1 ​ ) 3/2 ⇒ T 1 ​ T 2 ​ ​ = ( 4 ) 3/2 = 8 ⇒ T 2 ​ = 8 × T 1 ​ = 8 × 5 = 40 = 40 hours

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