Magnetism Question 59

Question: At a certain place the angle of dip is 30° and the horizontal component of earth’s magnetic field is 0.50 Oersted. The earth’s total magnetic field is

[CPMT 1990]

Options:

A) $ \sqrt{3} $

B) $ 1 $

C) $ \frac{1}{\sqrt{3}} $

D) $ \frac{1}{2} $

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Answer:

Correct Answer: C

Solution:

$ B _{H}=B\cos \varphi ;\ \

Therefore B=\frac{B _{H}}{\cos \varphi }=\frac{0.5}{\cos 30^{o}}=\frac{0.5}{\sqrt{3}/2}=\frac{1}{\sqrt{3}} $