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}] $
Show Answer
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]