The earth revolves round the sun in one ye

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The earth revolves round the sun in one year. If the distance between them becomes double, the new period of revolution will be

A

$\frac{1}{2}$ year

B

$2\sqrt 2 $ years

C

$4$ years

D

$8$ years

The earth revolves round the sun in one year. If the distance between them becomes double, the new period of revolution will be

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

${T_2} = 2\sqrt 2 $ years.