Two long, thin,parallel conductor are kept very close to each other, without touching. One carries a current `I,` and the other has charge `lambda` per unit length. An electron moving parallel to the conductors is undeflected. Let `C=` velocity of light.

Options

A. `v=(lambdac^(2))/(i)`
B. `v=(i)/(lambda)`
C. `c=(i)/(lambda)`
D. The electron may be at any distance from the conductor

Answer

A,D

Explanation

At P, electric field `=E=(lambda)/(2pi epsilon _(0)x)` ( to the right ), and magnetic field `=B=(mu_(0)i)/(2pix)`
`(` into the paper `)`
For no deflection, `E=vB" or "v=(E)/(B)`
or `v=(lambda)/(2pi epsilon_(0)x)xx(2pix)/(mu_(0)i)=(lambda)/(i).(1)/(epsilon_(0)mu_(0))=(lambdac^(2))/(i)`