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MHT CET 2026 (19 Apr, Shift 1) · Vibration Magnetometer

Vibration Magnetometer question from MHT CET 2026 (19 Apr, Shift 1)

Q2MHT CET 2026 · 19 APR · SHIFT 1Medium

Vibration Magnetometer

The frequency of oscillation of a small magnet in a magnetic field of induction 'B' is 'nn'. If the frequency of oscillations of the same magnet in a field of induction 'X' falls to (n3)\left(\frac{n}{3}\right), the value of 'X' is

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Answer: (d)

  1. n=12πMBI⇒n∝Bn = \frac{1}{2\pi}\sqrt{\frac{MB}{I}} \Rightarrow n \propto \sqrt{B}
  2. n/3n=XB⇒XB=19\frac{n/3}{n} = \sqrt{\frac{X}{B}} \Rightarrow \frac{X}{B} = \frac{1}{9}
  3. So the answer is (d) B9\frac{B}{9}.
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