A particle of mass m and charge (-q) enters the region between the two charged plates initially moving along x-axis with speed vx.The length of plate is L and an uniform electric field £ is maintained between the plates. Show that the vertical deflec...

Solution:
Let the point at which the charged particle enters the electric field, be origin O (0, 0), then after travelling a horizontal displacement L, it gets deflected by displacement y in vertical direction as it comes out of electric field. So, co-ordinates of its initial position are x₁ = 0 and y₁ = 0 and final position on coming out of electric field are

and of initial velocity are u_x = v_x and u_y = 0 so, by 2^nd equation of motion in horizontal direction,

This gives the vertical deflection of the particle at the far edge of the plate.

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NCERT Solutions for 12th Class Physics: Chapter 1-Electric Charges And Fields