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Four particles having masses, m, 2m, 3m,...

Four particles having masses, m, 2m, 3m, and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.

A

`(24m^(2)G)/(a^(2))`

B

`(6m^(2)G)/(a^(2))`

C

`(4sqrt2Gm^(2))/a^(2)`

D

zero

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The correct Answer is:
C
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