late period of revolution of a Planet at a distance r from Star BT prove that if it was a distance of 2 hour from the star its period of revolution will be root 8T
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Late period of revolution of a Planet at a distance r from Star BT prove that if it was a distance of 2 hour from the star its period of revolution will be root 8t....
Answer:
According to Kepler's law ,
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,
Hence, time period will be √8T , when distance between planet and star will be 2R
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