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A large flat metal surface has a uniform...

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

A

`(vmepsilon_(0))/(sigmae)`

B

`(v^(2)mepsilon_(0))/(esigma)`

C

`(v^(2)e)/(epsilon_(0)sigmam)`

D

`(v^(2)sigmae)/(epsilon_(0)m)`

Text Solution

Verified by Experts

The correct Answer is:
2
Field near metal surface `E=(sigma)/(epsilon_(0))`
Force on electron `=eE=(esigma)/(epsilon_(0))`
Acceleration of electron `a=(esigma)/(mepsilon_(0))`
It will act as projectile with max range =`(u^(2))/(a)=(u^(2))/(esigma)xxmepsilon_(0)`
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