A coil of N turns and mean cross-sectional area A is rotating with uniform angular velocity $\mathrm{\omega }$ about an axis at right angle to uniform magnetic field B. The induced e.m.f. E in the coil will be

• A

  $\text{NBAsin⁡ωt}$

• B

  $\mathrm{NB\omega sin}\mathrm{\omega t}$

• C

  $\mathrm{NB}/\mathrm{Asin}\mathrm{\omega t}$

• D

  $\mathrm{NBA\omega sin}\mathrm{\omega t}$