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Two similar magnets, each of magnetic moment ⃗m, are arranged as shown in the figure. The magnetic dipole moment of this combination is

Asked in RS Academy GUJCET booklet · Magnetic moment of magnets and loops

• (1) 2⃗m
• (2) √2 ⃗m
• (3) (⃗m)/(√2)
• (4) (⃗m)/2

Step-by-step solution

Why the other options are wrong

• (1) 2⃗m is the resultant only if the two moments point the same way. In the figure they are at right angles, so they add as vectors, not as numbers.
• (3) Dividing by √2 gives a component, not a sum: m/(√2) is the part of one magnet's moment along the diagonal, and there are two magnets contributing.
• (4) Halving has no place here - nothing is cut or shared between the magnets. Two equal perpendicular moments give a resultant longer than either of them.

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