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Q.

A positively charged particle P enters the region between two parallel plates with a velocity u, in a direction parallel to the plates. There is a uniform electric field in this region. P emerges from this region with a velocity v. Taking C as a constant, v will depend on u as

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a

v=Cu

b

v=u2+Cu

c

v=u2+Cu

d

v=u2+Cu2

answer is D.

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Detailed Solution

l is the length of the each tube. ux=u=constant. Time of travel between the plates is t=l/u. Let a be constant acceleration iny-direction.So vy=at when the particle emerges from the plates so,v2=ux2+vy2=u2+a2t2=u2+a2l2u2=u2+Cu2(where  a2l2=C)So, v=u2+Cu2
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