Gravitation Question 273

Question:A satellite moves round the earth in a circular orbit of radius R making one revolution per day. A second satellite moving in a circular orbit, moves round the earth once in 8 days. The radius of the orbit of the second satellite is [UPSEAT 2004]

Options:

A) 8 R

B) 4R

C) 2R

D) R

Show Answer

Answer:

Correct Answer: B

Solution:

Given that, $ [T_{1}=1] $ day and $ [T_{2}=] $ 8 days \ $ [\frac{T_{2}}{T_{1}}={{\left( \frac{r_{2}}{r_{1}} \right)}^{3/2}}] $ Þ $ [\frac{r_{2}}{r_{1}}={{\left( \frac{T_{2}}{T_{1}} \right)}^{2/3}}={{\left( \frac{8}{1} \right)}^{2/3}}=4] $ Þ $ [r_{2}=4r_{1}=4R] $



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