Question

The jupiter's period of revolution around the sun is 12 times that of the earth. If radius of earth orbit is 1 AU, find radius of Jupiter's orbit

• A. 6.24
• B. 5.24
• C. 7
• D. 8

Answer 1

The correct option is B 5.24

We know that $T^2\propto R^3$

$⟹R\propto T^{\frac{2}{3}}$

Hence , $\frac{R_{jupiter}}{R_e}={\left(\frac{T_{jupiter}}{T_e}\right)}^{\frac{2}{3}}$

$⟹\frac{R_{jupiter}}{1AU}={\left(12\right)}^{\frac{2}{3}}$

$⟹R_{jupiter}=(144{)}^{\frac{1}{3}}AU\approx 5.24AU$