Question

At a place on the surface of earth vertical component of earths field is two times that of horizontal component. Then the latitude angle at the place is

• A. ${\tan }^{-1}\left(2\right)$
• B. ${\tan }^{-1}\left(1/2\right)$
• C. ${45}^o$
• D. $0^o$

Answer 1

Answer: (A)

${\tan }^{-1}\left(2\right)$

Angle of dip $x$ angle between earth's magnetic field and horizontal to the surface.

$B_H=B\cos x$ and $B_V=B\sin x$

$x={\tan }^{-1}\left(\frac{B_V}{B_H}\right)$ given $2B_V=B_H$

$⟹x={\tan }^{-1}\left(2\right)$