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Two positive charges of magnitude q are ...

Two positive charges of magnitude q are placed at the ends of a side AB of square of side 2a. Two negative charges of the same magnitude are kept at the other corners. Starting from rest, if a charge Q moves from the middle of side AB to the centre of square, its kinetic energy at the centre of square is :

A

`1/(4pi in_(0))(2qQ)/a(1-1/sqrt(15))`

B

zero

C

`1/(4pi in_(0))(2qQ)/a(1+1/sqrt(5))`

D

`1/(4pi in_(0))(2qQ)/a(1-1/sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaK=W=Q(V_(A)-V_(B))`
`=Q[((2kq)/a-(2kq)/(asqrt(5)))-0]`
`=(2KqQ)/(a)(1-1/sqrt(5))`
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