A magnet of length `2L` abd moment `'M'` is axially cut into equal halves `'P'` and `'Q'`. The piece `'P'` is bent in the form of semi circle and `'Q'` is attached to it as shown. Its moment is

Options

A. `(M)/(pi)`
B. `(M)/(2pi)`
C. `(M(2+pi))/(2pi)`
D. `(Mpi)/(((2+pi))`

Answer

C

Explanation

In the arrangement magnetic moment of `P`is `M_(1)=(2(M)/(2)sin((pi)/(2)))/(pi)=(M)/(pi)` and magnetic moment of `Q` is `M_(2)=(M)/(2):.` Resultant magnetic moment `M_(r)=M_(1)+M_(2)=(M)/(pi)+(M)/(2)=(M(pi+2))/(2pi)`