Three very long straight thin wires are connected parallel to each other through a battary of negligible internal resistance. The resistance of the wired are `2Omega,3 Omega` and `4 Omega`. The ratio of distance of middle wire from the first and thrid wires if resusltant magnetic force on the middle wire is zero is `:`

Options

A. `2:1`
B. `3:4`
C. `2:3`
D. `3:5`

Answer

1

Explanation

As the wires are parallel,
`I_(1):I_(2):I_(3)=(1)/(2):(1)/(3):(1)/(4)=6:4:3`
Force betweent first second & second, their wires are equal
`(F)/(l)=(mu_(0)I_(1)I_(2))/(2pir)`