Gravitation Question 236

Question: A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is [NCERT 1984; MP PET 1997]

Options:

A) 4.8 hours

B) $ [48\sqrt{2}] $ hours

C) 24 hours

D) $ [24\sqrt{2}] $ hours

Show Answer

Answer:

Correct Answer: B

Solution:

$ [T\propto {{r}^{3/2}}] $ . If r becomes double then time period will becomes (2)3/2 times. So new time period will be $ [24\times 2\sqrt{2}\ hr] $ i.e. $ [T=48\sqrt{2}] $



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