Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Gravitation

Question:

The distance of Neptune and Saturn from sun are nearly 1013 and 1012 meters respectively. Assuming that they move in circular orbits, their periodic times will be in the ratio : 

Options:

√10  

100  

10√10  

1 /√10

Correct Answer:

10√10  

Explanation:

Kepler’s third law T2 ∝ R3 :

\(\Rightarrow \frac{T_{Neptune}}{T_{Saturn}} = [\frac{R_{Neptune}}{R_{Saturn}}]^{3/2}\)

  = \([\frac{10^{13}}{10^{12}}]^{3/2}\)

  = \(10\sqrt{10}\)