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The ratio of magnetic moment of two barmagnets is 13:5. These magnets held together in a vibration magnetometer oscillale with 15 oscillations per minute in earth's magnetic fields with like poles together.What will be the frequency of ocsillations of system if unlike poles are together?

 

Option: 1

10 Oscillations/min


Option: 2

15 Oscillations/min


Option: 3

12 Oscillations/min


Option: 4

\frac{75}{13} Oscillations/min


Answers (1)

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As we learn 

Frequency of oscillation of two dipoles having opposite moments -

\nu_{d}=\frac{1}{T_{d}}=\frac{1}{2\pi}\:\sqrt \frac{(M_{1}-M_{2})B_{H}}{I_{1}+I_{2}}

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 \frac{M_{1}}{M_{2}} = \frac{V^{2}_{s} + V ^{2}_{d}}{V_{s}^{2}- V^{2}_{d}}\Rightarrow \frac{13}{5}=  \frac{(15)^{2}+ V^{2}_{d}}{(15)^{2}- V^{2}_{d}}

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Anam Khan

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