Let the period of revolution of a planet at a distance r from star .prove that if it was at a distance of 2R from the start, it's period of revolution will be 8 T

Let the period of revolution of a planet at a distance r from star .pr

1.	Let the period of revolution of a planet at a distance r from star .prove that if it was at a distance of 2R from the start, it's period of revolution will be 8 T
Answer» Hii mate!! ❄According to Kepler's law , T²a³ Here T denotes the time period and a denotes the distance between two objects Here, when distance between PLANET and star is R then time period is T means T² = kR³ [ here k is PROPORTIONALITY constant ]----(1) ↪Again, Let the time period is T' when distance between planet and star is 2R T'² = k(2R)³ = k.8R³ -----(2) DIVIDING equation (1) by (2) T²/T'² = kR³/k8R³ = 1/8 T'² = 8T² square ROOT both sides, T' = T ↪Hence, time period will be T , when distance between planet and star will be 2R. hope it helps !!☺☺

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Let the period of revolution of a planet at a distance r from star .prove that if it was at a distance of 2R from the start, it's period of revolution will be 8 T

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