A particle of mass `M` and negative charge `q` is thrown in a gravity free space with speedd `u` from the point `A` on the large non conducting charged sheet with surface charge density (sigma), as shown in figure, Find the maximum distance from `A` on sheet where the rparticle can strike .

Answer

` (2 in_0 u^2 m)/(q sigma)`

Explanation

Case is similar to projectile motion
` R = ( u^@ sin 2 theta)/a For R_(max) , sin 2 theta = 1`
` R_(max) = (u^2)/(qE//m) = (mu^2)/(q (sigma //2 in_0 )) = ( 2 in2 theta mu^2)/( sigma)`.