1.

In the question number 51 , the potential at the centre is

Answer»

`-2(GM)/(l)`
`3sqrt(2)(Gm)/(l)`
`-2sqrt(2)(Gm)/(l)`
`-4sqrt(2)(Gm)/(l)`

Solution :(d) From FIGURE
`OA=OB=OC=OD`
`=(SQRT(l^(2)+l^(2)))/(2)=(lsqrt(2))/(2)=(l)/(2)`
Potential at centre O due to given mass configuration is
`V=(-(Gm)/(OA))+(-(Gm)/(OB))+(-(Gm)/(OC))+(-(Gm)/(OD))`
` = -(4GM)/(lsqrt(2))=-4sqrt(2)(Gm)/(l)`


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