Questions

Figures (a) and (b) show a square loop of side a rotating about the given axes in a uniform magnetic field such that the field is perpendicular to the axis in both cases. Angular speed of rotation is both cases being the same,

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induced emf is more in (a) than in (b)

induced emf is more in (b) than in (a)

induced emf in the two cases are equal and non-zero

induced emf in the two cases are equal and zero

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detailed solution

Correct option is C

We know that the moment of inertia of a symmetrical planar body about any axis lying in its plane and passing through its centre is same. Further, angular velocity is also same in both cases. Thus, induced emf is also same.

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An elasticized conducting band r is around a spherical balloon T (figure). Its plane passes through the center of the balloon. A uniform magnetic field of magnitude 0.04 T is directed perpendicular to the plane of the band. Air is let out of the balloon at 100 cm³s^-1 at an instant when the radius of the balloon is 10 cm. The induced emf in the band is