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Q.

A satellite launched into a circular orbit of radius ‘R’ around the earth while a second satellite is launched into an orbit of radius 1.06R . The percentage change in the time periods of the two satellite is

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a

9

b

0.6

c

0.5

d

5

answer is A.

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Detailed Solution

T2T1=(R2R1)3/2=(1+0.061)3/2      ΔTT×100=32ΔRR×100 T2T1−1=(1+0.09)−1                     =32×1.06R−RR×100100×ΔTT=9                                      =32×0.06×100                                                                     =9%
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