1.

Two bar magnets A and B are placed one over the other and are allowed to vibrate in a vibration manetometer. They of A and B are on the same side, while opposite poles lie on the same side. If M_(A) and M_(B) are the magnetic moments of A and B and if M_(A)gtM_(B), the ratio of M_(A) and M_(B) is

Answer»

`4:3`
`25:7`
`7:5`
`25:16`

Solution :Frequency of vibration MAGNETOMETER,
`n=(1)/(2pi)sqrt((MB_(H))/(I)`
`(n_(1))/(n_(2))=sqrt((M_(A)+M_(B))/(M_(A-M_(B))`
`n_(1)=20, n_(2)=15` (GIVEN)
`20/15=sqrt((M_(A)+M_(B))/(M_(A-M_(B))`
`implies(M_(A)+M_(B))/(M_(A)-M_(B))=(4/3)^(2)`
`implies9[M_(A)+M_(B)]=16[M_(A)-M_(B)]`
`implies7 M_(A)=25 M_(B)`
`M_(A):M_(B)=25:7`


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