The distance of a planet from the sun is $5$ times the distance between the earth and the sun. The time period of the planet is
The distance of a planet from the sun is $5$ times the distance between the earth and the sun. The time period of the planet is
${5^{3/2}}$ years
${5^{2/3}}$ years
${5^{1/3}}$ years
${5^{1/2}}$ years
The distance of a planet from the sun is $5$ times the distance between the earth and the sun. The time period of the planet is
According to Kepler's law T $\propto \mathrm{R}^{2 / 3}$
$\therefore T_{\text {planet}}=(5)^{3 / 2} T_{\text {earth}}$
$=5^{(3 / 2)} \times 1$ year $=5^{3 / 2}$ years
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