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The orbital period of revolution of a planet round the sun is $\mathrm{T_o}$ . Suppose we make a model of Solar system scaled down in the ratio $\mathrm{\eta}$ but of materials of the same mean density as the actual material of planet and the sun has. The new orbital period is.

Option: 1
$\mathrm{\eta T_0}$

Option: 2
$\mathrm{\eta^2 T_0}$

Option: 3
$\mathrm{\eta^3 T_0}$

Option: 4
$\mathrm{\mathrm{T}_0}$

Answers (1)

best_answer

$\mathrm{\mathrm{T}^2=4 \pi^2\left(\frac{\mathrm{r}^3}{\mathrm{GM}}\right)}$

Hence option 4 is correct.

Posted by

Irshad Anwar

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