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JEE Main
Exam
JEE Main
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main · Physics · Magnetic Properties of Matter

The frequncy of vibration in a vibration magnetometer of the...

The frequncy of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments M1M_1 and M2M_2 is 6 Hz6 \mathrm{~Hz} when like poles are tied and it is 2 Hz2 \mathrm{~Hz} when the unlike poles are tied together, then the ratio M1:M2M_1: M_2 is

Options

  1. A4:54: 5
  2. B5:45: 4
  3. C1:31: 3
  4. D3:13: 1

Correct answer

B. 5:45: 4

Step-by-step solution

In the sum and difference method of vibration magnetometer, M1M2=T22+T12T22−T12\frac{M_1}{M_2}=\frac{T_2^2+T_1^2}{T_2^2-T_1^2} Here, T1=1n1=16 sT2=1n2=12 sM1M2=14+13614−136+9+1369−136=108=54M1:M2=5:4T_1=\frac{1}{n_1}=\frac{1}{6} \mathrm{~s}T_2=\frac{1}{n_2}=\frac{1}{2} \mathrm{~s}\frac{M_1}{M_2}=\frac{\frac{1}{4}+\frac{1}{36}}{\frac{1}{4}-\frac{1}{36}}+\frac{\frac{9+1}{36}}{\frac{9-1}{36}}=\frac{10}{8}=\frac{5}{4}M_1: M_2=5: 4
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