question_answer

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 8 whose value is

A)  \[30{}^\circ \]                  

B)  \[45{}^\circ \]

C)  \[90{}^\circ \]                  

D)  \[60{}^\circ \]

Correct Answer: D

Solution :

                In balance condition \[{{B}_{2}}={{B}_{1}}\tan \theta \]or \[\tan \theta =\frac{\sqrt{3}}{1}=\sqrt{3}\] \[\theta =60{}^\circ \]