What would be the duration of an year if the distance between the earth and the sun becomes one- fourth of the present distance ?
Answer & explanation
Correct answer: option 1
According to Kepler's Law : \(T \propto r^{3/2}\)
\(\frac{T_1}{T_2} = [\frac{r_1}{r_2}]^{3/2}\)
\(T_2 = T_1 [\frac{1}{4}]^{3/2} \)
\(T_2 = T_1 \frac{1}{8} \)