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Figure shows 4 identical masses of mass ...

Figure shows `4` identical masses of mass `m`, arranged on a cube as shown.
The force on any particle is

A

`(3)/(2)(GM^(2))/(a^(2))`

B

`sqrt((3)/(2))(GM^(2))/(a^(2))`

C

`sqrt(6)(GM^(2))/(a^(2))`

D

none of these

Text Solution

Verified by Experts

`PE=6xx(GM^(2))/(sqrt(2)a)`
`=-3sqrt(2)(GM^(2))/(a)`
`F=3xx(GM^(2))/(2a^(2))xx(sqrt(2))/(sqrt(3))=sqrt((3)/(2))(GM^(2))/(a^(2))`
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