When two magnetic moments are compared using equal distance method the deflections produced are `45^(@)` and `30^(@)`. If the length of magnets are in the ratio 1:2, the ratio of their pole strengths is

Options

A. `3:1`
B. `3:2`
C. `sqrt(3):1`
D. `2sqrt(3):1`

Answer

D

Explanation

`M_(1)/M_(2)=(tantheta_(1))/(tantheta_(2)) implies (m_(1)L_(1))/(m_(2)L_(2))=tantheta_(1)/tantheta_(2)`
`implies m_(1)/m_(2)=2/1xx(tan 45^(@))/(tan 30^(@))=(2sqrt(3))/1`