The vertical component of earth's magnetic field at a place is √3 times the horizontal component the value of angle of dip at this place is

Question

The vertical component of earth's magnetic field at a place is √3 times the horizontal component the value of angle of dip at this place is (A) 30° (B) 45° (C) 60° (D) 90°

Tardigrade Admin · Accepted Answer

As, BV = √3 BH Also, tan δ = (BV/BH) = (√3BH/BH) = √3 or δ = tan-1 (√3) = 60° ∴ Angle of dip, δ = 60°.

Q. The vertical component of earth's magnetic field at a place is $3$ times the horizontal component the value of angle of dip at this place is

$3 0^{\circ}$

$4 5^{\circ}$

$6 0^{\circ}$

$9 0^{\circ}$

As, $B_{V} = 3 B_{H}$
Also, $t an δ = \frac{B _{V}}{B _{H}} = \frac{3 B _{H}}{B _{H}} = 3$ or $δ = t a n^{- 1} (3) = 6 0^{\circ}$
$∴$ Angle of dip, $δ = 6 0^{\circ}$ .

Q. The vertical component of earth's magnetic field at a place is 3​ times the horizontal component the value of angle of dip at this place is

30∘

45∘

60∘

90∘