A circular coil of area $300\, cm^2$ and 25 turns rotates about its vertical diameter with an angular speed of $40\, rad\, s^{-1}$ in a uniform horizontal magnetic field of magnitude 0.05 T. The maximum voltage induced in the coil is

1.5 V

The correct answer is Option (2) → 1.5 V

Given:

Area of coil, $A = 300 \, cm^2 = 300 \times 10^{-4} \, m^2 = 3 \times 10^{-2} \, m^2$

Number of turns, $N = 25$

Angular speed, $\omega = 40 \, rad/s$

Magnetic field, $B = 0.05 \, T$

The maximum induced emf in a rotating coil is:

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

Substitute the values:

$E_{max} = 25 \times 0.05 \times 3 \times 10^{-2} \times 40$

$E_{max} = 25 \times 0.05 \times 1.2$

$E_{max} = 25 \times 0.06 = 1.5 \, V$

Answer: $1.5 \, V$