An electron eneters the space between the plates of charged capacitor as shown. The carge density on the plate is `sigma`, electric intensity in the space between the plates is E, A unifrom magnetic field B aslo exists B also exists in the spae perpendicular to the direction of E.
The electron moves perpendicular to both E and B without any change in direction. The time taken by the electron to travel a distance l in the space is

Options

A. `(sigma l)/(epsi_(0) B)`
B. `(sigma B)/(epsi_(0) l)`
C. `(epsi_(0) lB)/(sigma)`
D. `(epsi_(0) l)/(sigma B)`

Answer

C

Explanation

`v = (E)/(B) = (sigma)/(epsi_(0) B)`
`t = (1)/(v) = (epsi_(0) Bl)/(sigma)`