Q. 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
A) $\tan^{- 1}\frac{1}{2}$
B) $\tan^{- 1}{(2)}$
C) $\tan^{- 1}\left( \frac{2}{3} \right)$
D) None of these
Explanation
(b) $\tan\phi = \frac{\tan\phi}{\cos\beta};$ where $\phi =$ Apparent angle of dip, $\phi =$ True angle of dip, $\beta =$ Angle made by vertical plane with magnetic meridian
$\Rightarrow \tan\phi = \frac{\tan{60{^\circ}}}{\cos{30{^\circ}}} = 2 \Rightarrow \phi = \tan^{- 1}{(2)}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.