Two inductively coupled coils have self-inductance L₁=20H and L₂=320H. Find the maximum possible mutual inductance between the coils.

Correct option is A

$$\text{The maximum possible mutual inductance } M \text{ between two inductively coupled coils can be calculated using the formula:} \\[6pt]M = \sqrt{L_1 L_2} \\[10pt]\text{Given:} \\[4pt]L_1 = 20\,H \\[4pt]L_2 = 320\,H \\[10pt]\text{Now, calculate the maximum possible mutual inductance:} \\[4pt]M = \sqrt{20 \times 320} \\[4pt]M = \sqrt{6400} \\[4pt]M = 80\,H \\[10pt]\text{Therefore, the maximum possible mutual inductance between the coils is } 80\,H.$$​​