Question

If the distance between the Sun and Earth is doubled, then the duration of the year on Earth will be:
[Given actual duration of the year = \(T\)]

• A. \(2\sqrt{2}\,T\)
• B. \(\frac{T}{2}\)
• C. \(\sqrt{2}\,T\)
• D. \(\frac{T}{\sqrt{2}}\)

Hint:

Kepler’s Third Law: \(T^2 \propto r^3\). If distance changes by factor \(k\), time changes by \(k^{3/2}\).

Answer 1

The Correct Option is A