At an angle of 30 ° to the magnetic meridian, the apparent dip is 45 ° . Find the true dip:

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Question: Answered & Verified by Expert

At an angle of

30 °

to the magnetic meridian, the apparent dip is

45 ° .

Find the true dip:

PhysicsMagnetic Properties of MatterJEE MainJEE Main 2021 (20 Jul Shift 2)

Options:

A $\tan^{- 1} \sqrt{3}$
B $\tan^{- 1} \frac{1}{\sqrt{3}}$
C $\tan^{- 1} \frac{2}{\sqrt{3}}$
D $\tan^{- 1} \frac{\sqrt{3}}{2}$

Solution:

1264 Upvotes Verified Answer

The correct answer is:

\tan^{- 1} \frac{\sqrt{3}}{2}

$A tanδ = {tanδ}^{'} cosθ$

$= \tan 45 ° \cos 30 °$

$\tan δ = 1 \times \frac{\sqrt{3}}{2}$

$δ = \tan^{- 1} (\frac{\sqrt{3}}{2})$

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