Two bar magnets are placed in a Vibration Magnetometer and allowed to vibrate. They make $20$ oscillations per minute when their similar poles are on the same side and they make $15$ oscillations per minute with their opposite poles lie on the same side. The ratio of their moments is :

9 : 5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

25 : 7

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

16 : 9

No worries! We‘ve got your back. Try BYJU‘S free classes today!

5 : 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $25 : 7$
$\frac{T_{2}}{T_{1}} = \sqrt{\frac{(M_{1} + M_{2})}{(M_{1} - M_{2})}}$
$∴ \frac{f_{1}}{f_{2}} = \sqrt{\frac{(M_{1} + M_{2})}{(M_{1} - M_{2})}}$
$∴ \frac{20}{15} = \sqrt{\frac{(M_{1} + M_{2})}{(M_{1} - M_{2})}}$
$∴ {(\frac{4}{3})}^{2} = \frac{(M_{1} + M_{2})}{(M_{1} - M_{2})}$
$∴ \frac{16 + 9}{16 - 9} = \frac{2 M_{1}}{2 M_{2}} = \frac{M_{1}}{M_{2}}$
$∴ \frac{M_{1}}{M_{2}} = \frac{25}{7}$

Suggest Corrections

Similar questions

Two bar magnets A and B are placed one over the other and are allowed to Vibrate in a vibration magnetometer. They make 20 oscillations per minute when the similar poles of A and B are on the same side, while they make 15 oscillations per minute when their opposite poles lie on the same side. If $M_{A}$ and $M_{B}$ are the magnetic' moments of A and B and if $M_{A}$ > $M_{B}$ , the ratio of $M_{A}$ and $M_{B}$ is

Q. A combination of two bar magnets, in vibration magnetometer, makes

10

oscillations per second if their like poles are tied together and

2

oscillations per second when unlike poles are tied together. If induced magnetism is neglected, then the ratio of their magnetic moments is

Q. Two magnets are held together in a variation 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 moments is

If the moments of inertia of two bar magnets are same, if their magnetic moments are in the ratio $4 : 9$ and if their frequencies of oscillations are same, the ratio of the induction field strengths in which they are vibrating is

Q. Two magnets of same size and mass make, respectively, 10 and 15 oscillations per minute at a certain place. The ratio of their magnetic moments is:

Join BYJU'S Learning Program

Two bar magnets are placed in a Vibration Magnetometer and allowed to vibrate. They make 20 oscillations per minute when their similar poles are on the same side and they make 15 oscillations per minute with their opposite poles lie on the same side. The ratio of their moments is :

The correct option is D 25:7T2T1=√(M1+M2)(M1−M2)∴f1f2=√(M1+M2)(M1−M2)∴2015=√(M1+M2)(M1−M2)∴(43)2=(M1+M2)(M1−M2)∴16+916−9=2M12M2=M1M2∴M1M2=257

Two bar magnets are placed in a Vibration Magnetometer and allowed to vibrate. They make $20$ oscillations per minute when their similar poles are on the same side and they make $15$ oscillations per minute with their opposite poles lie on the same side. The ratio of their moments is :