Two coupled inductors L₁ = 8H and L₂ = 32H have coefficient of coupling K = 0.4. The mutual inductance between them is

Correct option is C

$$\bullet L_1 = 8\,H \\[4pt]\bullet L_2 = 32\,H \\[4pt]\bullet \text{Coefficient of coupling } K = 0.4 \\[8pt]\text{The formula for mutual inductance } M \text{ between two coupled inductors is given by:} \\[6pt]M = K \sqrt{L_1 L_2} \\[8pt]M = 0.4 \times \sqrt{8 \times 32} \\[6pt]M = 0.4 \times \sqrt{256} = 0.4 \times 16 = 6.4\,H \\[8pt]\text{So, the mutual inductance between the inductors is } 6.4\,H.$$​​