Physics - Gravitation Question with Solution | TestHub

Given, Semi-major axis of the orbit of Saturn$=9 r_e$

Where,$r_e=$semi-major axis of the earth

According to Kepler's law,

$T^2\propto r^3$

Let the time period of revolution of Saturn around the sun is$T_S$

$\therefore \frac{T_S^2}{T_E^2}={\left(\frac{9r_e}{r_e}\right)}^3$

$T_S^2=T_E^2{\left(9\right)}^3$

$T_S=\sqrt{T_E^2{\left(9\right)}^3}$

$=9^{\frac{3}{2}}\times 1$year

$\approx 27$years