1.

Four equal masses (each of mass M) are placed at the corners of a squares side a the escape velocity of a body from the centre O of the square isA. `4sqrt(2GM)/(a)`B. `sqrt(8sqrt(2GM))/(a)`C. `(4GM)/(a)`D. `sqrt(4sqrt(2)GM)/(a)`

Answer» Correct Answer - B
Potential at centre `=-(4GM)/(r )=(-4GM)/(a//sqrt(2))=-(4sqrt(2)GM)/(a)`
`PE=(-4sqrt(2)GMm)/(a)`
`BE=(4sqrt(2)GMm)/(a)`
`therefore 1/2mv_(e)^(2)=(4sqrt(2)GMm)/(a)`
`rarr v_(e )=sqrt(8sqrt(2)GM)/(a)`


Discussion

No Comment Found

Related InterviewSolutions