Q.

Two planets A and B of equal mass are having their period of revolutions TA and TB such that TA=2TB. These planets are revolving in the circular orbits of radii rA and rB respectively. Which out of the following would be the correct relationship of their orbits?

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a

2rA2=rB3

b

rA3=4rB3

c

rA3=2rB3

d

TA2TB2=π2GMrB34rA3

answer is C.

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Detailed Solution

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T2r3TA2rA3=TB2rB3rA3=4rB3

 

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