Question

At a place, if the earth's horizontal and vertical components of magnetic fields are equal, then the angle of dip will be

• A. $30^{\circ}$
• B. $90^{\circ}$
• C. $45^{\circ}$
• D. $0^{\circ}$

Answer 1

Answer: (C)

$45^{\circ}$

Answer 2

The expression for the angle of dip is as follows;
$\delta=\tan ^{-1} \frac{ V }{ H }$
Here, $V$ is the vertical component and $H$ is the horizontal component.
It is given in the problem that at a certain place, horizontal component is equal to the vertical component.
Put $H = V$ in the above expression.
$\delta=\tan ^{-1} \frac{ V }{ H }$
$\delta=\tan ^{-1} \frac{ V }{ V }$
$\delta=\tan ^{-1} 1$
$\delta=45^{\circ}$