Two magnets are held together in a vibration magnetometer and are allowed to oscillate in earth&rsqu

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5.Magnetism and Matter

hard

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

A

$3 : 1$

B

$1 : 3$

C

$3 : 5$

D

$5 : 4$

Solution

Like poles together

$\mathrm{T}_{1}=2 \pi \sqrt{\frac{\left(\mathrm{I}_{1}+\mathrm{I}_{2}\right)}{\left(\mathrm{m}_{1}+\mathrm{m}_{2}\right) \mathrm{B}_{\mathrm{H}}}}$

Unlike poles together

$\mathrm{T}_{2}=2 \pi \sqrt{\frac{\mathrm{I}_{1}+\mathrm{I}_{2}}{\left(\mathrm{m}_{1}+\mathrm{m}_{2}\right) \mathrm{B}_{\mathrm{H}}}}$

Standard 12

Physics

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