The mercury will rotate around the Sun in

Question

The mean radius of the Earth's orbit around the Sun is 1.5 x 10¹¹ m. The mean radius of the orbit of Mercury around the Sun is 6 × 10¹⁰ m. The mercury will rotate around the Sun in

Answer 1

T ∝ r^3/2

\(\frac{T_m}{T_e} = (\frac{r_m}{r_e})^{3/2}\)

= \((\frac{6 \times 10^{10}}{1.5 \times 10^{11}})^{3/2} = (\frac{2}{5})^{3/2}\) 

\(T_m = (\frac{2}{5})^{3/2}\)

\(T_e = (\frac{2}{5})^{3/2} \times 1 = (\frac{2}{5})^{3/2}\) years

Answer 2

If the mean radius of the Earth's orbit around the Sun is 1.5 x 10¹¹ m. The mean radius of the orbit of Mercury around the Sun is 6 × 10¹⁰ m. The mercury will rotate around the Sun in 1 YEAR.