Magnetism Question 261

Question: The true value of angle of dip at a place is $ 60{}^\circ $ , the apparent dip in a plane inclined at an angle of $ 30{}^\circ $ with magnetic meridian is

Options:

A) $ {{\tan }^{-1}}\frac{1}{2} $

B) $ {{\tan }^{-1}}(2) $

C) $ {{\tan }^{-1}}( \frac{2}{3} ) $

D) $ {{\tan }^{-1}}( \frac{\sqrt{3}}{4} ) $

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Answer:

Correct Answer: B

Solution:

[b] $ \tan ,\theta ‘=\frac{\tan ,\theta }{\cos ,\alpha }=\frac{\tan 60^{o}}{\cos ,30^{o}}=\frac{\sqrt{3}}{\sqrt{3}/2}=2 $
$ \

Therefore ,,,,\theta ‘=ta{{n}^{-1}}(2). $