Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earth’s magnetic field. With like poles together, 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moment is

Question

Dr. Abubacker · Accepted Answer

(d) In the sum and difference method of vibration magnetometer
$\frac{M_{1}}{M_{2}} = \frac{T_{2}^{2} + T_{1}^{2}}{T_{2}^{2} - T_{1}^{2}}$
Here $T_{1} = \frac{1}{n_{1}} = \frac{60}{12} = 5\ \sec,$ $T_{2} = \frac{1}{n_{2}} = \frac{60}{4} = 15\ sec$
$	herefore\frac{M_{1}}{M_{2}} = \frac{15^{2} + 5^{2}}{15^{2} - 5^{2}} = \frac{225 + 25}{225 - 25} = \frac{5}{4}$

Q. Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earth’s magnetic field. With like poles together, 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moment is

Explanation

Reviewed by Dr. Abubacker

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