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Q.

Two satellites of masses 100kg and 200kg are revolving the earth at attitudes 6400 km and 44800km. The ratio of orbital velocity of the satellites is

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a

1 : 4

b

2 : 1

c

1 : 2

d

4 : 1

answer is B.

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Detailed Solution

v_{1} = \sqrt{\frac{GM}{6400}} = \sqrt{\frac{G \times 100}{6400}}

$v_{2} = \sqrt{\frac{GM}{6400 + 44800}} = \sqrt{\frac{G \times 200}{51, 200}}$

$\frac{v_{1}}{v_{2}} = \sqrt{\frac{G \times 100}{6400} \times \frac{51, 200}{G \times 200}} = \sqrt{\frac{8}{2}} = 2 : 1$

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Two satellites of masses 100kg and 200kg are revolving the earth at attitudes 6400 km and 44800km. The ratio of orbital velocity of the satellites is