0224. Let the period of revolution of a planetat a distance R from a s

1.	0224. Let the period of revolution of a planetat a distance R from a star be T. Provethat if it was at a distance of 2R fromthe star, its period of revolution will beT.7 km/s
Answer» According to Kepler's law , T² directly proportional to a³ 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 = 8T²square root both sides, T' = √8T Hence, time period will be √8 T , when distance between planet and star will be 2R ਕੀ ਸਿਰਫ ਪਰਿਮੇਯ ਸੰਖਿਆ ਹੈ

0224. Let the period of revolution of a planetat a distance R from a star be T. Provethat if it was at a distance of 2R fromthe star, its period of revolution will beT.7 km/s

Answer»

According to Kepler's law , T² directly proportional to a³ 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 = 8T²square root both sides, T' = √8T Hence, time period will be √8 T , when distance between planet and star will be 2R

ਕੀ ਸਿਰਫ ਪਰਿਮੇਯ ਸੰਖਿਆ ਹੈ

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