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 is

Question

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 is

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 is
A. `4sqrt(2GM)/(a)`
B. `sqrt(8sqrt(2GM))/(a)`
C. `(4GM)/(a)`
D. `sqrt(4sqrt(2)GM)/(a)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

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)`

5 views Answered 2023-02-05 15:29