Q. Two uniform magnetic fields $B$ and $H$ are perpendicular to each other at a place. When a magnetic needle is placed in the field, it rest making angle $60{^\circ}$ and $30{^\circ}$ with $B$ and $H$ respectively. The value of $B:H$ is

A) $1\ :2$
B) $2\ :1$
C) $\sqrt{3}\ :1$
D) $1\ :\sqrt{3}$
Explanation

(d) $B = B_{0}\cos{60{^\circ}}$
$H = B_{0}\cos{30{^\circ}}$
$\frac{B}{H} = \frac{\cos{60{^\circ}}}{\cos{30{^\circ}}} = \frac{\frac{1}{2}}{\frac{\sqrt{3}}{2}} = \frac{1}{\sqrt{3}}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.