First slide
Magnetic dipole in a uniform magnetic field
Question

The magnetic needle of a vibration magnetometer makes 12 oscillations per minute in the horizontal component of earth’s magnetic field. When an external short bar magnet is placed at some distance along the axis of the needle in the same line it makes 15 oscillations per minute. If the poles of the bar magnet are inter changed, the number of oscillations it makes per minute is

Moderate
Solution

n1n2=BHB+BH=1215=45 ;  B=916BHn1n3=12n3=BHBH-B=BHBH-916BH12n3=167, n3=63 Hz

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