Two magnets of equal mass are joined at 90$^ \circ $ each other as shown in figure. Magnet ${N_1}\;{S_1}$ has a magnetic moment $\sqrt 3 $ times that of ${N_2}\;{S_2}$. The arrangement is pivoted so that it is free to rotate in horizontal plane. When in equilibrium, what angle should ${N_1}\;{S_1}$ make with magnetic meridian?<br>
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