A bar magnet of magnetic moment `M_(1)` is axially cut into two equal parts. If these two pieces are arranged perpendiucular to each other, the resultant magnetic moment is `M_(2)`.
Then the vale of `(M_(1))/(M_(2))` is

Options

A. `1:sqrt(2)`
B. `1:1`
C. `sqrt(2):1`
D. `1:2`

Answer

C

Explanation

`M_(2)=sqrt(((M_(1))/(2))^(2)+((M_(1))/(2))^(2))=sqrt(2)(M_(1))/(2)`
`therefore M_(1)/M_(2)=(2)/sqrt(2)=sqrt(2)/(1)`