(c) The induced emf is
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ e = - L\frac{di}{dt}$
Here, $di = (2 - 10)A = - 8\ A,\ dt = 0.1s,\ e = 3.28\ V.$
$\therefore\ \ \ \ \ \ \ \ \ 3.28 = \ - \frac{L( - 8)}{0.1}$
$\therefore\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ L = \frac{3.28 \times 0.1}{8} = 0.04H$