Gravitation Question 209

Question: If orbital velocity of planet is given by $ [v=G^{a}M^{b}R^{c}] $ , then[EAMCET 1994]

Options:

A) $ [a=1/3,,b=1/3,,c=-1/3] $

B) $ [a=1/2,,b=1/2,,c=-1/2] $

C) $ [a=1/2,,b=-1/2,,c=1/2] $

D) $ [a=1/2,,b=-1/2,,c=-1/2] $

Show Answer

Answer:

Correct Answer: B

Solution:

$ [v=\sqrt{\frac{GM}{R}}] $

$ [={{G}^{1/2}}{{M}^{1/2}}{{R}^{-1/2}}] $



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