Statement I : When a magnet of length L and magnetic moment M is bent to form a semicircular arc, the new magnetic moment is `2M//pi`
Statement II : Magnetic moment of a magnet depends only upon the distance between the poles of the magnet.

Options

A. Statement I is True, Statement II is True, Statement II is a correct explanation for Statement I
B. Statement I is True, Statement II is True, Statement II is not a correct explanation for Statement I
C. Statement I is True, Statement II is False.
D. Statement I is False, Statement II is True.

Answer

C

Explanation

Consider a magnet of length L and pole strength m.
Its magnetic moment=mL
Next bend it into a semicircular arc of radius R.
Then `R=(L)/(pi)` and
the magnetic moment `M_(1)=m2R=(2mL)/(pi)=(2M)/(pi)`
The assertion is true. The magnetic moment which depends upon the pole strength and the distance between the poles is calculated as `(2M)/(pi)`. The reason is false. It is not only the distance between the poles but also the pole strength which determines the magnetic moment.