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Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to 1/4^th of the present distance then the present day length reduced by

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$\frac{1}{6}$

$\frac{1}{8}$

$\frac{1}{2}$

$\frac{1}{4}$

answer is C.

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Detailed Solution

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

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