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Q.

Magnetic field in a cylindrical region of radius R in inward direction is as shown in figure

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a

 If a proton is kept at 0,R2,0  and magnetic field is decreasing, then it will experience the force in positive x-direction

b

In the above situation, electron will experience the force in negative y-axis

c

If a proton is kept at R,0,0  and magnetic field is increasing, then it will experience force in negative y-axis

d

An electron will experience no force kept at (2R,0,0)  if magnetic field increases with time

answer is B, C, D.

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Detailed Solution

If  magnetic field increases, then induced electric lines are anti-clock wise.If magnetic field decreases, then induced electric lines are clock wise (both inside and outside the cylindrical region)
On positive charge, force  is in the direction of E. On negative charge, force is in the opposite direction of E.

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Magnetic field in a cylindrical region of radius R in inward direction is as shown in figure