A) \[\frac{\sigma l}{{{\varepsilon }_{0}}B}\]
B) \[\frac{\sigma B}{{{\varepsilon }_{0}}l}\]
C) \[\frac{{{\varepsilon }_{0}}lB}{\sigma }\]
D) \[\frac{{{\varepsilon }_{0}}l}{\sigma B}\]
Correct Answer: C
Solution :
Here, magnetic force = electrostatic force \[qvB=qE\] \[v=\frac{E}{B}\] \[=\frac{\sigma }{{{\varepsilon }_{0}}B}\] The time taken by electron to travel a l distance in that space \[t=\frac{l}{v}=\frac{l}{\frac{\sigma }{{{\varepsilon }_{0}}B}}\] \[=\frac{{{\varepsilon }_{0}}lB}{\sigma }\]You need to login to perform this action.
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