The question asks for the inductance between terminals $A$ and $D$, but the circuit/network diagram is missing.

For an inductance-equivalent question, the answer depends entirely on how the inductors are connected between $A$ and $D$:

• series combination,
• parallel combination,
• bridge network,
• coupled inductors, etc.

Without the figure, the equivalent inductance cannot be uniquely determined from the options alone.

What would be needed

To solve this, I need the circuit diagram showing:

1. the inductors and their values,
2. how they are connected,
3. the terminal labels $A$ and $D$.

Therefore

Since the network is not provided, a step-by-step numerical derivation is not possible.

The stored correct answer is $1\,\text{H}$, but I cannot verify it without the missing diagram.