A girl peddles a stationary bicycle. The pedals of the bicycle are attached to a 100 turn coil of area $0.10\, m^2$. The coil completes one revolution in two seconds, and it is placed in a uniform magnetic field of 0.02 T perpendicular to the axis of rotation of the coil. The maximum voltage generated in the coil will be

0.628 V

The correct answer is Option (4) → 0.628 V

Given:

Number of turns, $N = 100$

Area of coil, $A = 0.10\,m^2$

Magnetic field, $B = 0.02\,T$

Time for one revolution, $T = 2\,s$

Angular velocity:

$\omega = \frac{2\pi}{T} = \frac{2\pi}{2} = \pi\,rad/s$

Maximum induced emf:

$E_{max} = N\,B\,A\,\omega$

Substitute values:

$E_{max} = 100 \times 0.02 \times 0.10 \times \pi$

$E_{max} = 0.2\pi$

$E_{max} = 0.628\,V$

Final Answer: $E_{max} = 0.63\,V$