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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. For this case 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

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a

3 : 1

b

1 : 3

c

3 : 5

d

5 : 4

answer is D.

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Detailed Solution

In the sum and difference magnetometer, M1M2=T22+T12T22-T12Here, T1=1n1=6012=5 s, T2=1n2=604=15 s ∴M1M2=152+52152-52=225+25225-25=54
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