A short magnetic needle is pivoted in a uniform magnetic field of induction $1 \mathrm{~T}$. Now,…
A short magnetic needle is pivoted in a uniform magnetic field of induction $1 \mathrm{~T}$. Now, simultaneously another magnetic field of induction $\sqrt{3} \mathrm{~T}$ is applied at right angles to the first field; the needle deflects through an angle $\theta$ whose value is
$30^{\circ}$
$45^{\circ}$
$90^{\circ}$
$60^{\circ}$
Solution
In balance condition $B_2=B_1 \tan \theta$
or $\quad \tan \theta=\frac{\sqrt{3}}{1}=\sqrt{3}$
$\theta=60^{\circ}$
