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TS EAMCET · Physics · Magnetic Properties of Matter

At a certain place a magnet makes 30 oscillations per minute. At another place where the magnetic field is double, its time period will be

  1. A \(4 \mathrm{~s}\)
  2. B \(2 \mathrm{~s}\)
  3. C \(\frac{1}{2} \mathrm{~s}\)
  4. D \(\sqrt{2} \mathrm{~s}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\sqrt{2} \mathrm{~s}\)

Step-by-step Solution

Detailed explanation

\begin{aligned} T=2 \pi & \sqrt{\frac{I}{M B_H}} \\ \therefore \quad \frac{T_1}{T_2} & =\sqrt{\frac{\left(B_H\right)_2}{\left(B_H\right)_1}} \\ T_2 & =T_1 \sqrt{\frac{\left(B_H\right)_1}{\left(B_H\right)_2}} \\ n_1 & =30 \text { oscillation } / \mathrm{min} \\ n_1 & =\frac{1}{2}…

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