Gravitation Question 199

Question: Two planets at mean distance $ [d_{1}] $ and $ [d_{2}] $ from the sun and their frequencies are n1 and n2 respectively then[Kerala (Med.) 2002]

Options:

A) $ [n_{1}^{2}d_{1}^{2}=n_{2}d_{2}^{2}] $

B) $ [n_{2}^{2}d_{2}^{3}=n_{1}^{2}d_{1}^{3}] $

C) $ [n_{1}d_{1}^{2}=n_{2}d_{2}^{2}] $

D) $ [n_{1}^{2}d_{1}=n_{2}^{2}d_{2}] $

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Answer:

Correct Answer: B

Solution:

$ [\frac{T^{2}}{R^{3}}=\frac{T^{2}}{d^{3}}=\frac{1}{n^{2}d^{3}}=] $ constant $ [\therefore ,,,n_{1}^{2}d_{1}^{3}=n_{2}^{2}d_{2}^{3}] $ [where n = frequency]



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