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.
given,
Number of oscillations per second made by the combination of bar magnets with like poles, f1 = 10s-1
Number of oscillations per second made by the combination of bar magnets with unlike poles, f2 = 2s-1
The frequency of oscillations in the magnetometer (ν)ν is given by
⇒
------------------------(1)
(1) When like poles are tied together, the effective magnetic moment is M= M1 - M2
(2) When unlike poles are tied together, the effective magnetic moment is M= M1 + M2
As the frequency of oscillations is directly proportional to the magnetic moment,
⇒
