Gravitation Question 212

Question: Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to 1/4th of the present distance then the present day length reduced by[BHU 2005]

Options:

A) $ [\frac{1}{4}] $

B) $ [\frac{1}{2}] $

C)$ [\frac{1}{8}] $

D)$ [\frac{1}{6}] $

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Answer:

Correct Answer: C

Solution:

$ [\frac{T_{2}}{T_{1}}={{\left( \frac{r_{2}}{r_{1}} \right)}^{3/2}}={{\left( \frac{1}{4} \right)}^{3/2}}=\frac{1}{8}] $



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