Question

A rod of length $50\text{cm}$ moves with a speed of $10\text{cm/s}$ in a uniform magnetic field of strength $10\text{G}$ at an angle of ${30}^{\circ }$ with the field. The emf induced across the ends of the rod is -

• A. $5000\text{CGS unit}$
• B. $2500\text{CGS unit}$
• C. $7500\text{CGS unit}$
• D. $1000\text{CGS unit}$

Answer 1

The correct option is B $2500\text{CGS unit}$

We know that, emf induced across the ends of the rod,

$\Delta V=Blv\sin \theta$

$\Rightarrow \Delta V=10\times 50\times 10\times \sin {30}^{\circ }=2500\text{CGS unit}$