A circular coil of radius $10\; cm, 500$ turns and resistance $2 \;\Omega$ is placed with its plane perpendicular to the horizontal component of the earth’s magnetic field. It is rotated about its vertical diameter through $180^{\circ}$ in $0.25\; s$. Estimate the magnitudes of the emf and current induced in the coil. Horizontal component of the earth’s magnetic field at the place is $3.0 × 10^{–5}$ T.

Question

(A) $\varepsilon = 1.9 \times 10^{-3}$ and $I = 1.9 \times 10^{-3}$ (B) $\varepsilon = 3.8 \times 10^{-3}$ and $I = 1.9 \times 10^{-3}$ (C) $\varepsilon = 1.9 \times 10^{-3}$ and $I = 3.8 \times 10^{-3}$ (D) $\varepsilon = 0.9 \times 10^{-3}$ and $I = 1.8 \times 10^{-3}$