Question

The angle of dip at a place where horizontal and vertical components of earth’s magnetic field are equal is

• A. $45^{\circ }$
• B. $30^{\circ }$
• C. $0^{\circ }$
• D. $60^{\circ }$
• E. $90^{\circ }$

Answer 1

Answer: (A)

We know that,
Vertical component of earth's magnetic field is
$B_v=B\sin \theta$
and horizontal componet of earth's magnetic field is
$B_H=B\cos \theta$
Given, $B_H=B_V$
So, $B\cos \theta =B\sin \theta$
$\frac{B\sin \theta }{B\cos \theta }=1$
$\tan \theta =1$
$\theta =45^{\circ }$