A thin uniform conducting rod of mass M and length L oscillates in a vertical plane about a fixed horizontal axis passing through its top end. The rod is oscillating with angular amplitude `theta_(0)`. A uniform horizontal magnetic field B, perpendicular to the plane of the oscillation is switched on.
(a) Calculate the maximum emf induced between the ends of the rod.
(b) If the rod has a finite thickness (any real life rod will definitely have a thickness), what difference in oscillation is expected in absence of magnetic field and in presence of magnetic field. Describe qualitatively.

Options

A. `(B)/(8) sqrt(27l^(3) g (1-cos theta))`
B. `(B)/(8) sqrt(27l^(3)g (1+cos theta))`
C. `B sqrt((3l^(3)g(1-costheta))/(4))`
D. `Bsqrt((3l^(3)g(1_cos theta))/(4))`

Answer

C