The ratio of the distances of two planets

$\cdot$ Ratio of distance of two planets from sun $\left(\frac{a_{1}}{a_{2}}\right)=1.38$

$\cdot$ Ratio of the period of revolution around sun is $\left(\frac{T_{1}}{T_{2}}\right)=?$

$\Longrightarrow \frac{T_{1}}{T_{2}}=\frac{a_{1}}{a_{2}}^{3 / 2}$

$\frac{a_{1}}{a_{2}}=1.38(\text {Given})$

$\mathrm{So}$

$\Longrightarrow \frac{T_{1}}{T_{2}}=(1.38)^{3 / 2}$

$\frac{T_{1}}{T_{2}}=(1.38)^{3 / 2}$