A magnetic dipole is placed horizontally with the north pole pointing towards north. The horizontal component of earth's magnetic field is $20 \mu T.$ If the neutral point is found at a distance of $20 \mathrm{cm}$ in the plane bisecting the dipole then the magnetic moment of the dipole is
(Assume ${\mu }_0=4\pi \times {10}^{-7}$ S.I. units)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.