Question

The horizontal and vertical components of earth's magnetic field at a place are $0.3$G and $0.52$G. The earth's magnetic field and the angle of dip are

• A. $0.3$G and $\rho$ = ${30}^0$
• B. $0.4$G and $\rho$ = ${40}^0$
• C. $0.5$G and $\rho$ = ${50}^0$
• D. $0.6$G and $\rho$ = ${60}^0$

Answer 1

The correct option is D $0.6$G and $\rho$ = ${60}^0$

Given,

${\overrightarrow{B}}_H=0.3G$

${\overrightarrow{B}}_{vec}=0.52G$

$\therefore {\overrightarrow{B}}_E=\sqrt{{0.3}^2+{0.52}^2}=0.6003G$

Angle of dip is the angle between horizontal component of ${\overrightarrow{B}}_E$ with its horizontal component.

$\therefore \theta ={\cos }^{-1}\left(\frac{0.3}{0.6003}\right)\approx {60}^{\circ }$