Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

What would be the duration of an year if the distance between the earth and the sun becomes one- fourth of the present distance ?

Options:

One- eighth times of the present year

One- sixth times of the present year

One-tenth times of the present year

Half of the present year.

Correct Answer:

One- eighth times of the present year

Explanation:

According to Kepler's Law : \(T \propto r^{3/2}\)

\(\frac{T_1}{T_2} = [\frac{r_1}{r_2}]^{3/2}\)

\(T_2 = T_1 [\frac{1}{4}]^{3/2} \)

\(T_2 = T_1 \frac{1}{8} \)