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