Two magnets held together in earth's magnetic field with same polarity together make 12 vib - min -1 and when opposite poles together make 4 vib- min -1. The ratio of magnetic moments is

Question

Two magnets held together in earth's magnetic field with same polarity together make 12 vib - min -1 and when opposite poles together make 4 vib- min -1. The ratio of magnetic moments is (A) 9: 1 (B) 1: 3 (C) 1: 9 (D) 5: 4

Tardigrade Admin · Accepted Answer

As, (M1/M2)=(T22+T12/T22-T12) =(n22+n12/n12-n22)=(42+122/122-42) =(160/128)=5: 4

Q. Two magnets held together in earth's magnetic field with same polarity together make $12 v ib - min^{- 1}$ and when opposite poles together make $4 v ib - min^{- 1}$ . The ratio of magnetic moments is

9 : 1

1 : 3

1 : 9

5 : 4

As, $\frac{M _{1}}{M _{2}} = \frac{T _{2}^{2} + T _{1}^{2}}{T _{2}^{2} - T _{1}^{2}}$
$= \frac{n _{2}^{2} + n _{1}^{2}}{n _{1}^{2} - n _{2}^{2}} = \frac{4 ^{2} + 1 2 ^{2}}{1 2 ^{2} - 4 ^{2}}$
$= \frac{160}{128} = 5 : 4$

Q. Two magnets held together in earth's magnetic field with same polarity together make 12vib−min−1 and when opposite poles together make 4vib−min−1. The ratio of magnetic moments is