InterviewSolution
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InterviewSolution
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A particle of mass m and charge (-q)enters the regions between the two chargedplatesinitially moving along x-axis with speed v_x(like particle 1 in.) The length of plate is Land an the particleat the far edge of the plateis qEL^(2)//(2mv_x^(2)) . |
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Answer» Solution :Leta particle of mass m, charges -q andinitialspeed ` v_x` along x-axisenters a uniform electricfield region at O. The field `oversetto E ` is along y-axisas 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 chargesparticle to cross the field t`= ( L)/( v_x) ` . Forceexperiencedby charged particle along y-axis. ` |oversetto F|=-qoversetto E `towards +ve charged plate. ` therefore ` Acceleration of charged particlealong y-axis `a_y =(F)/(m) = ( qE)/( m) ` (towards +ve chargedplate). ` therefore ` Deflection SUFFERED bycharged 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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