$A$ 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 the rod,as shown in the figure. The induced emf will be:

  • A
    $\frac{1}{4} B^2 L \omega$
  • B
    $\frac{1}{4} BL^2 \omega$
  • C
    $\frac{1}{2} BL^2 \omega$
  • D
    $\frac{1}{2} B^2 L^2 \omega$

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