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TS EAMCET · Physics · Magnetic Properties of Matter

A short magnetic needle is pivoted in a uniform magnetic field of induction \(1 \mathrm{~T}\). Now, simultaneously another magnetic field of induction \(\sqrt{3} \mathrm{~T}\) is applied at right angles to the first field; the needle deflects through an angle \(\theta\) whose value is

  1. A \(30^{\circ}\)
  2. B \(45^{\circ}\)
  3. C \(90^{\circ}\)
  4. D \(60^{\circ}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(60^{\circ}\)

Step-by-step Solution

Detailed explanation

In balance condition \(B_2=B_1 \tan \theta\) or \(\quad \tan \theta=\frac{\sqrt{3}}{1}=\sqrt{3}\) \(\theta=60^{\circ}\)