The diagram shows three infinitely long uniform line charges placed on the `X, Y` and ` Z` axis . The work done in moving a unit positive charge from (1,1,1) to (2 , 1,1,) is equal to
.

Answer

B

Explanation

As `E=lambda/(2pi in_(0)r)`
so `V=lambda/(2pi in_(0))l_(n)r rArr W=lambda/(2pi in_(0))ln|r_(2)/r_(1)|`
`W=lambda/(2pi in_(0))ln (sqrt(2)/sqrt(1))+(2lambda)/(2pi in_(0))ln (sqrt(2)/sqrt(2))`
`=lambda/(2pi in_(0))ln2`