Physics · JEE | Electromagnetic Induction

A metallic rod of length \( l \) is rotated about one of its ends in a plane perpendicular to a uniform magnetic field \( B \) with an angular frequency \( \omega \). What is the induced emf across its ends?

1. A
   \( \varepsilon = B \omega l^2 \)
2. B
   \( \varepsilon = 2 B \omega l^2 \)
3. C
   \( \varepsilon = \frac{1}{4} B \omega l^2 \)
4. D
   \( \varepsilon = \frac{1}{2} B \omega l^2 \)