Q.

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

Moderate

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a

0.5%

b

1.0%

c

1.5%

d

3.0%

answer is 3.

(Detailed Solution Below)

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Detailed Solution

In the problem orbital radius is increased by 1%.Time period of satellite T∝r3/2  Percentage change in time period = 32 (% change in orbital radius) =  32(1%)=1.5%
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