A "bar" magnet of moment `M` is cut into two identical pieces along the length. One piece is bent in the form of a semi circle. If two pieces are perpendicular to each other, then resultant magnetic moment is

Options

A. `(M/pi)^(2)+(M/2)^(2)`
B. `sqrt((M/pi)^(2)+(M/2)^(2))`
C. `sqrt((M/pi)^(2)-(M/2)^(2))`
D. `M/pi+M/2`

Answer

B

Explanation

`M_(1)=2/pi(M/2),M_(2)=M/2`
`M^(1)=sqrt(M_(1)^(2)+M_(2)^(2))`