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Consider a conducting rod of length $‘ l ’$ , mass m in zero gravity x-y plane, rod is along y axis with it's center at origin at rest. Small ball of mass m moving parallel to x axis with speed ‘v’ strikes the rod, at it's center. There is uniform magnetic field B in z-direction. Now choose the CORRECT option(s). e is coefficient of restitution between rod & ball.

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IF e =1, motional EMF between ends of rod just after collision is $\frac{B l v}{2}$

IF e =1, motional EMF between ends of rod just after collision is Blv

IF e = 0 , motional EMF between ends of rod just after collision is $\frac{B l v}{2}$

IF e = 0 , motional EMF between ends of rod just after collision is Blv

answer is B, C.

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Detailed Solution

Motional EMF = $B l v$
Motional EMF = $B l v / 2$
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