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

A particle of mass m and charge(-q) enters the region between the two charged plates intially moving along x - axis with speed `V_(x)` . The length of plate is L and a uniform electric field E is maintained between the plates . Show that the verticles deflection of the particle at the far edge of the palte is `qEL^(2)//(2m v_(x)^(2))`.

Text Solution

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`u_x=v_x u_y=0 , a_x=0`
`s_x=L s_y=u_y t+1/2a_y t^2, t=s_x/u_x=L/v_x`
`Y=(qEL^2)/(2m V_x^2)`
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