Magnetism Question 74

Question: The angle of dip at a certain place is 30o. If the horizontal component of the earth’s magnetic field is H, the intensity of the total magnetic field is

[UPSEAT 1993, 2000; MP PMT 2002]

Options:

A) $ \frac{H}{2} $

B) $ \frac{2H}{\sqrt{3}} $

C) $ H\sqrt{2} $

D) $ H\sqrt{3} $

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Answer:

Correct Answer: B

Solution:

$ B _{H}=B\cos \varphi \Rightarrow B=\frac{B _{H}}{\cos \varphi }\Rightarrow B=\frac{B _{H}}{\cos 30^{o}}=\frac{2B _{H}}{\sqrt{3}} $