First slide

Earth's Magnetism

Question

If at any place, the angle of dip is $θ$ and magnetic latitude is $λ$ , then

Moderate

A

$2 tanθ = tanλ$
B

$tanθ = 2 tanλ$
C

$\sqrt{3} tanθ = tanλ$
D

$tanθ = \sqrt{3} tanλ$

Solution

$tanθ = \frac{B_{V}}{B_{H}} tanθ = \frac{\frac{μ_{0}}{4 π} \frac{2 Msinλ}{d^{3}}}{\frac{μ_{0}}{4 π} \frac{Mcosλ}{d^{3}}} = \frac{2 sinλ}{cosλ} = 2 tanλ tanθ = 2 tanλ$

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