Question

Two planets revolve around the sun in elliptical orbits with their major axes in the ratio 2 : 3. Their periods of revolution around the sun are in the ratio

• A. 2 : 3
• B. 3 : 2
• C. \(2\sqrt{3} : 3\sqrt{2}\)
• D. \(2\sqrt{2} : 3\sqrt{3}\)
• E. 4 : 9

Hint:

Remember that \(x^{3/2}\) is just \(x\sqrt{x}\). So \((2/3)^{3/2} = (2/3)\sqrt{2/3}\). Multiplying inside and outside gives \(2\sqrt{2} / 3\sqrt{3}\).

Answer 1

The Correct Option is D