$A$ coil of area $10 \ m^2$ is placed in a uniform magnetic field of $0.3 \ Wb \cdot m^{-2}$,with its plane perpendicular to the field. The coil rotates at a uniform rate to complete one revolution in $8 \ s$. Find the average emf (in $V$) in the coil during intervals when the coil rotates from:
$i. 0^{\circ}$ to $90^{\circ}$ position
$ii. 90^{\circ}$ to $180^{\circ}$ position
$iii. 180^{\circ}$ to $270^{\circ}$ position
$iv. 270^{\circ}$ to $360^{\circ}$ position

• A
  $\frac{3}{2} \ V; \frac{3}{2} \ V; -\frac{3}{2} \ V; -\frac{3}{2} \ V$
• B
  $\frac{3}{2} \ V; -\frac{3}{2} \ V; \frac{3}{2} \ V; -\frac{3}{2} \ V$
• C
  $0 \ V; 0 \ V; 0 \ V; 0 \ V$
• D
  $-\frac{3}{2} \ V; -\frac{3}{2} \ V; \frac{3}{2} \ V; \frac{3}{2} \ V$