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Q.

Figure shows a rod AB that can rotate with uniform angular velocity ω over a stationary conducting circular frame and resistance R is connected between centre A and frame.
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a

If the current was found to be I then the charge to mass ratio of electrons would be  ω2l22IR

b

If the current was found to be I then the charge to mass ratio of electrons would be  2ω2l2IR

c

If a magnetic field B is applied perpendicular to plane of the paper then induced current in rod will be radially outward

d

If a magnetic field B is applied perpendicular to plane of the paper then induced current (due to
motional emf only) in rod will be  12Bl2ωR 

answer is A, C.

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Detailed Solution

Due to centrifugal force electrons are moving from A to B. At equilibrium, Electric force due to induce charges become equal to centrifugal force  mω2x=eE
 0lmω2xdx=0leEdx=e0lEdx mω2l22=ev(v=voltageacrossrod) v=iR=mω2l22eem=ω2l22iR
 
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Figure shows a rod AB that can rotate with uniform angular velocity ω over a stationary conducting circular frame and resistance R is connected between centre A and frame.