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Q.

A conducting circular disc of radius R is rolling without sliding on a horizontal surface with a velocity of centre 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 centre of the disc and P, Q, R and S are the four points on the disc.

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a

Due to only rotation, induced emf, across $Q S = 0$

b

Due to only translation, induced emf actors $R O = 0$

c

Due to only translation, induced emf, across $P S = B v R$

d

Due to only rotation, induced emf across $O Q = B v R$

answer is A, B, C.

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Detailed Solution

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Due to only rotation, $e m f = \frac{B ω R^{2}}{2},$ due to only translation, $e m f = B v R$

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A conducting circular disc of radius R is rolling without sliding on a horizontal surface with a velocity of centre 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 centre of the disc and P, Q, R and S are the four points on the disc.