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JEE Mains · Physics · STD 12 - 5. Magnetism and matter

At a certain place the angle of dip is \(30^{\circ}\) and the horizontal component of earth's magnetic field is \(0.5 G\). The earth's total magnetic field (in \(G\) ), at that certain place, is ................

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

Answer & Solution

Correct Answer

(A) \(\frac{1}{\sqrt{3}}\)

Step-by-step Solution

Detailed explanation

\(B _{ H }= B \cos \theta\) \(\therefore B =\frac{ B _{ H }}{\cos \theta}=\frac{0.5 G }{\cos 30^{\circ}} \Rightarrow \frac{ G }{\sqrt{3}}\)
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