Magnetism Question 75

Question: The horizontal component of the earth’s magnetic field is 0.22 Gauss and total magnetic field is 0.4 Gauss. The angle of dip. is

[MP PMT 2004]

Options:

A) $ {{\tan }^{-1}},(1) $

B) $ {{\tan }^{-1,}}(\infty ) $

C) $ {{\tan }^{-1,}}(1.518) $

D) $ {{\tan }^{-1,}}(\pi ) $

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Answer:

Correct Answer: C

Solution:

By using $ B _{H}=B\cos \varphi $

Therefore $ \cos \varphi =\frac{B _{H}}{B}=\frac{0.22}{0.4} $

Therefore $ \tan \varphi =\frac{\sqrt{{{(0.4)}^{2}}-{{(0.22)}^{2}}}}{0.22} $

Therefore $ \varphi ={{\tan }^{-1}}(1.518) $