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

Options

A. `45^(@)`
B. `30^(@)`
C. `0^(@)`
D. `60^(@)`

Answer

A

Explanation

We know that,
Vertical component of earth.s magnetic field is
`B_V = B sin theta `
and horizontal component of earth.s magnetic field is
`B_H = B cos theta `
Given, `B_H = B_V`
So, `B cos theta = B sin theta`
`(B sin theta )/( B cos theta) =1`
`tan theta =1`
`theta = 45^(@)`