Gravitation Question 358

Question: Three equal masses (each m) are placed at the comers of an equilateral triangle of side ‘a? Then the escape velocity of an object from the circumcentre P of triangle is:

Options:

A) $ [\sqrt{\frac{2\sqrt{3}Gm}{a}}] $

B) $ [\sqrt{\frac{\sqrt{3}Gm}{a}}] $

C) $ [\sqrt{\frac{6\sqrt{3}Gm}{a}}] $

D) $ [\sqrt{\frac{3\sqrt{3}Gm}{a}}] $

Show Answer

Answer:

Correct Answer: C

Solution:

  • $ [\frac{-Gmm’}{r}\times 3+\frac{1}{2}m’v_{e}^{2}=0] $ or $ [\frac{-3Gm}{(\frac{a}{2}/\cos {{30}^{o}})}+\frac{1}{2}v_{e}^{2}=0v_{e}=\sqrt{\frac{6\sqrt{3}Gm}{a}}] $


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