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The time period of a satellite in a circ...

The time period of a satellite in a circular orbit of radius R is T. The radius of the orbit in which time period is 8T is:

A

5R

B

2R

C

4R

D

3R

Text Solution

Verified by Experts

The correct Answer is:
C

`T^(2) prop r^(3) therefore r prop T^((2)/(3))`
`therefore (r_(2))/(r_(1)) = ((T_(2))/(T_(1)))^((2)/(3))=(8)^((2)/(3))=4`
`rArr r_(2)=4r_(1)`
Hence correct choice is (c ).
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