A metallic rod of length $$L$$ is rotated with an angular speed of $$\omega$$ normal to a uniform magnetic field $$B$$ about an axis passing through one end of rod as shown in figure. The induced emf will be:

A

$$\frac{1}{2}B^2L^2\omega$$

B

$$\frac{1}{4}BL^2\omega$$

C

$$\frac{1}{2}BL^2\omega$$

D

$$\frac{1}{4}B^2L\omega$$