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A charge Q is placed at each of the oppo...

A charge Q is placed at each of the opposite corners of a square. A charge q is placed at each of the other two corners. If the net electrical force on Q is zero, then the Q/q equals

A

`-2sqrt2`

B

`-1`

C

1

D

`1/sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
A
Resultant on Q becomes zero only when q charges are of negative nature.
`therefore F=1/(4 pi e_0) (Q times Q)/(sqrt2 d)^2 implies sqrt2 (qO)/d^2= (Q times Q)/(2d^2)`
`implies sqrt2 times q=Q/2 therefore q=Q/(2sqrt2) or Q/q=-2sqrt2`
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