Question

Earth's magnetic field at a place where angle of dip is 37 degree and vertical componenet of earth';s magnetic field is 0.5 G is :

• A. 0.3 G
• B. 0.4 G
• C. 0.83 G
• D. 0.5 G

Answer 1

The correct option is C 0.83 G

$\text{Given}$: Dip θ = 37°

Vertical component V= 0.5 G

$\text{To find}$: Earth’s magnetic field B

$\text{Solution}$ :

If θ is the angle of the dip, then

tanθ= $\frac{V}{H}$

We know,

tan θ= $\frac{3}{4}$

∴H = $\frac{V}{tan\theta }$= $\frac{0.5}{\frac{3}{4}}$= 0.67 G

Now
$B_{total}=\sqrt{V^2+H^2}$ = $\sqrt{{0.5}^2+{0.67}^2}$ =0.83 G

$\text{Hence C option is correct}$