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  4. A short magnetic needle is pivoted in a uniform magnetic field of induction 1 T. Now, simultaneously another magnetic field of induction √3 T is applied at right angles to the first field; the needle deflects through an angle θ whose value is

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Q. A short magnetic needle is pivoted in a uniform magnetic field of induction $1\, T$. Now, simultaneously another magnetic field of induction $\sqrt{3} T$ is applied at right angles to the first field; the needle deflects through an angle $\theta$ whose value is

EAMCETEAMCET 2010

Solution:

image
In balance condition
$B_{2} =B_{1} \tan \theta$
or $\tan \theta=\frac{\sqrt{3}}{1}=\sqrt{3}$
$\theta=60^{\circ}$