A large flat metal surface has a uniform charge density `+sigma`. An electron of mass `m` and charge `u` and returns to it at point `B`. Disregard gravity . The maximum value of `AB` is

Options

A. `(2 u^(2) m epsilon_(0))/(sigma e)`
B. `(u^(2) e epsilon_(0))/(m sigma)`
C. `(u^(2) e)/(epsilon_(0) m sigma)`
D. `(u^(2) sigma e)/(epsilon_(e ) m)`

Answer

1

Explanation

`AB` will be maximum if `theta = 45^(@)`
`(AB)_(max) = (u^(2))/(((e sigma)/(2 in_(0)))//m) = (2m u^(2) in_(0))/(e sigma)`