A satellite is revolving round the earth at a height (R/2) from surface of earth in circular orbit. β AITS & Test Series Chemistry Question
Question
A satellite is revolving round the earth at a height (R/2) from surface of earth in circular orbit. The change in speed required for the satellite to escape to infinity for the satellite to escape to infinity is: [Take R as radius of earth; and M as mass of earth]

Answer: B
π‘ Solution & Explanation
0 GM 2GM V 3R / 2 3R ο½ ο½ In order to escape to infinity let (V ο V0) is the speed change required. Thus, 2 GMm 1 m(v) 0 (3R / 2) 2 ο ο« ο½ Thus, 4GM v 3R ο½ Thus speed change required = v ο v0 4GM 2GM V 3R 3R ο ο½ ο ; ο¨ ο© GM V 2 2 3R ο ο½ ο
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