Magnetism Question 109

Question: A short magnetic needle is pivoted in a uniform magnetic field of strength 1 T. When another magnetic field of strength $ \sqrt{3} T $ is applied to the needle in a perpendicular direction, the needle deflects through an angle $\theta$, where $\theta$ is

[KCET 1999]

Options:

A) $30^\circ$

B) $45^\circ$

C) $90^\circ$

D) $60^\circ$

Show Answer

Answer:

Correct Answer: D

Solution:

In balance condition $ B _{2}=B _{1}\tan \theta $
$ \Rightarrow \tan \theta =\frac{\sqrt{3}}{1} $
$ \Rightarrow \theta =60^{o} $