Earth is revolving around the sun if the d

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Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to $\frac{1}{4}^{th}$ of the present distance then the present day length reduced by

A

$\frac{1}{4}$

B

$\frac{1}{2}$

C

$\frac{1}{8}$

D

$\frac{1}{6}$

Earth is revolving around the sun if the distance of the Earth from the Sun is reduced to $\frac{1}{4}^{th}$ of the present distance then the present day length reduced by

$\frac{{{T_2}}}{{{T_1}}} = {\left( {\frac{{{r_2}}}{{{r_1}}}} \right)^{3/2}} = {\left( {\frac{1}{4}} \right)^{3/2}} = \frac{1}{8}$