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)

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.
$\delta ={\tan }^{-1}\frac{V}{H}$
$\delta ={\tan }^{-1}\frac{V}{V}$
$\delta ={\tan }^{-1}1$
$\delta =45^{\circ }$