MHT CET · Physics · Magnetic Effects of Current

A magnetic dipole is placed in a uniform magnetic field of intensity $B$ , oriented along the direction of the field. If the magnetic dipole moment is $M$ , then the maximum work an external agent can perform in rotating the dipole will be

A $\frac{1}{2} M B$
B $4 M B$
C $2 M B$
D $M B$

Verified Solution

Answer & Solution

Correct Answer

(C) $2 M B$

Step-by-step Solution

Detailed explanation

The maximum work done by an external agent is

W = U_{180 °} - U_{0 °}

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.

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A magnetic dipole is placed in a uniform magnetic field of intensity B, oriented along the direction of the field. If the magnetic dipole moment is M, then the maximum work an external agent can perform in rotating the dipole will be

Step-by-step Solution

A magnetic dipole is placed in a uniform magnetic field of intensity $B$ , oriented along the direction of the field. If the magnetic dipole moment is $M$ , then the maximum work an external agent can perform in rotating the dipole will be