The induced e.m.f. in a rod of length “l” translating at a speed v making an angle θ with length “l” and perpendicular to magnetic field B is:

The correct answer is: Blv sinθ

The induced e.m.f. in a rod of length “l” translating at a speed v making an angle θ with length “l” and perpendicular to magnetic field B is Blv sinθ
Given,

• The component of the velocity (v) perpendicular to the length" l "of the rod is v⊥ =sin θ that is effective in producing the emf in the rod.
• As the magnetic field is perpendicular to the plane of motion, the emf induced across the ends will be ε=v ⊥ Bl =vBlsin θ=