A magnetic dipole is placed under the effect of two magnetic fields inclined at $ 75^{\circ}$ to each other. One of the fields has a magnetic Induction of $ 1.5 \times 10^{-2}T$. The magnet comes to rest at an angle of $30^{\circ}$ with the direction of this field . The magnitude of the other field is

Question

$\begin {array} {1 1} (1)\;1.5 \times 10^{-2}T & \quad (2)\;1.5 \sqrt 2 \times 10^{-2}T \\ (3)\;\large\frac{1.5}{\sqrt 2} \times 10^{-2}T & \quad (4)\;\large\frac{1.5}{2\sqrt 2} \times 10^{-2}T \end {array}$