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TS EAMCET · Physics · Magnetic Properties of Matter

At a certain place, the angle of dip is \(60^{\circ}\) and the horizontal component of the earth's magnetic field \(\left(B_H\right)\) is \(0.8 \times 10^{-4} \mathrm{~T}\). The earth's overall magnetic field is

  1. A \(1.5 \times 10^{-4} \mathrm{~T}\)
  2. B \(1.6 \times 10^{-3} \mathrm{~T}\)
  3. C \(1.5 \times 10^{-3} \mathrm{~T}\)
  4. D \(1.6 \times 10^{-4} \mathrm{~T}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(1.6 \times 10^{-4} \mathrm{~T}\)

Step-by-step Solution

Detailed explanation

Given, \(\begin{aligned} B_H & =0.8 \times 10^{-4} \mathrm{~T} \\ \theta & =60^{\circ} \\ B_e & =? \end{aligned}\) We know that, \(\begin{aligned} B_H & =B_e \cos \theta \\ 0.8 \times 10^{-4} & =B_e \cos 60^{\circ} \end{aligned}\)…
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