The combination of two bar magnets makes 10 oscillations per second in an oscillation magnetometer when like poles are tied together and 2 oscillations per second when unlike poles are tied together. Find the ratio of the magnetic moments of the magnets. Neglect any induced magnetism.

Explanation

WE know `u = (1)/(2 pi) sqrt((mB_(H))/(1))`
For like poles tied togather
`M = M_(1) - M_(2)`
For unlike pole
` M = M_(1) + M_(2) `
`v_(1))/(v_(2)) = sqrt(M_(1) - M_(2))/(M_(1) + M_(2)))`
` rArr ((10)/(1))^(2) = (M_(1) - M_(2))/(M_(1) + M_(2))`
` rArr (25)/(1) = (M_(1) - M_(2))/(M_(1) + M_(2))`
`rArr (25 + 1)/(25 - 1) = (M_(1) - M_(2) + M_(1) + M_(2))/(M_(1) - M_(2) - M_(1) - M_(2))`
rArr (26)/(24) = (2M_(1))/(-2M_(2))`
`rArr (M_(1))/(M_(2)) = - (26)/(24) = - (13)/(12) `