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A particle of mass m and charge (-q) en...

A particle of mass m and charge (-q) enters the regions between the two charged plates initially moving along x-axis with speed `v_x` (like particle 1 in.) The length of plate is L and an the particle at the far edge of the plate is `qEL^(2) //(2mv_x^(2)) `.

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Let a particle of mass m, charges -q and initial speed ` v_x` along x-axis enters a uniform electric field region at O. The field `oversetto E ` is along y-axis as shown in and extends to a length L.
As there is no field along x-axis , velocity `v_x` along x- axis remains uncharged and time taken by charges particle to cross the field t` = ( L)/( v_x) ` .
Force experienced by charged particle along y-axis.
` |oversetto F| =-qoversetto E ` towards +ve charged plate.
` therefore ` Acceleration of charged particle along y-axis `a_y =(F)/(m) = ( qE)/( m) ` (towards +ve charged plate).
` therefore ` Deflection suffered by charged particle along y-axis,while crossing the electric field, is given by ` y=(1)/(2) a_yt^(2) =(1)/(2) xx ( (qE)/( m )) xx ((L)/(v_x))^(2) =(qEL^(2))/( 2mv_x^(2)) ` (towards +ve charged plate)
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