Q.

A disc of radius R is rolling without sliding on a horizontal surface with a velocity of center of mass v and angular velocity ω in a uniform magnetic field B which is perpendicular to the plane of the disc as shown in figure. O is the center of the disc and P, Q, R, and S are the four points on the disc. Which of the following statements is true?

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a

Due to translation, induced emf across PS = Bvr

b

Due to rotation, induced emf across QS = 0

c

Due to translation, induced emf across RO = 0

d

Due to rotation, induced emf across OQ = Bvr

answer is A.

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Detailed Solution

Due to rotation, Induced potential difference between centre and rim =Br2ω2 and all points on circumference have same potential.

Due to translation induced emf = Bvr
where r is the separation

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