A uniform conducting rod of mass M and length l oscillates in a vertical plane about a fixed horizontal axis passing through its one end with angular amplitude θ. There exists a constant and uniform horizontal magnetic field of induction B perpendicular to the plane of oscillation. The maximum e.m.f. induced in the rod is Option 1) Option 2) Option 3) Option 4)

As we discussed in concept

Motional E.m.f due to rotational motion -

Conducting rod

- wherein

Maximum induced when rod is vertical as it is in this position that its velocity is maximum.

From energy conservation

or

or

Option 1)

This option is incorrect.

Option 2)

This option is incorrect.

Option 3)

This option is correct.

Option 4)

This option is incorrect.