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Average distance of the Earth from the Sun is $L_{1}$ : If one year of the Earth $=D$ days, one year of another planet whose average distance from the Sun is $L_{2}$ will be
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Verified Answer
The correct answer is:
$D\left(\frac{L_{2}}{L_{1}}\right)^{\frac{3}{2}}$ days
By Keplar's law,
$$
\begin{array}{l}
T^{2} \propto R^{3} \\
T=D\left(\frac{L_{2}}{L_{1}}\right)^{3 / 2}
\end{array}
$$
$$
\begin{array}{l}
T^{2} \propto R^{3} \\
T=D\left(\frac{L_{2}}{L_{1}}\right)^{3 / 2}
\end{array}
$$
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