Question 33: NCERT Class 12th Physics: Chapter 1 – Electric Charges And Fields
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 deflection of the particle at the far edge of the plate is qEL2/
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 ux = vx and uy = 0 so, by 2nd equation of motion in horizontal direction,
This gives the vertical deflection of the particle at the far edge of the plate.
NCERT 12th Physics Chapter 1, Class 12 Physics Chapter 1 solutions
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NCERT Solutions for 12th Class Physics: Chapter 1-Electric Charges And Fields