Two short magnet having magnetic moment in the ratio `27:8`, when placed on the opposite sides of a deflection magnetometer, produce no deflection. If the distance of the weaker magnet is `0.12m` from the centre of deflection magnetometer, the distance of the stronger magnet from the centre is

Options

A. 0.06m
B. 0.08m
C. 0.12m
D. 0.18m

Answer

D

Explanation

`M prop (d_(1))^(3)`
`rArr (M_(1))/(M_(2))= ((d_(1))/(d_(2)))^(3) rArr (27)/(8) = ((d_(1))/(0.12))^(3)`
`rArr (d_(1))/(0.12) = (3)/(2) rArr d= 0.18m`