Gravitation Question 118

Question: A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately [IIT 1995]

Options:

A) 0.5%

B) 1.0%

C) 1.5%

D) 3.0%

Show Answer

Answer:

Correct Answer: C

Solution:

In the problem orbital radius is increased by 1%.

Time period of satellite $ [T\propto {{r}^{3/2}}] $

Percentage change in time period = $ [\frac{3}{2}] $ (% change in orbital radius) = $ [\frac{3}{2}(1 percentage)=1.5 percentage] $



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