A coil of 100 turns is rotated with an angular speed of 50π rad/s in a magnetic field of uniform density of 0.05 T. The mean area per turn is 40 cm2. What is the emf induced in the coil in volts when the coil has rotated through 30° from the position of zero emf?
1
π
2
\(\frac{\pi}{2}\)
3
\(\frac{\pi\sqrt{3} }{2}\)
4
\(\frac{\pi}{4} \)