A) 1 : 1
B) \[\frac{2}{3}\]
C) \[\frac{3}{2}\]
D) \[\frac{5}{8}\]
Correct Answer: D
Solution :
for Ist magnet twist in spring \[=180-30\] and this twist produce restoring torque magnet will finally stay in equailibrium position where both magnetic torque of horizontal component of earth magnetic field and spring torque are balanced | |||
\[C\,\,[180-30]={{M}_{1}}{{B}_{H}}\sin 30{}^\circ \] | ...(1) | ||
for IInd magnet | |||
\[C\,\,[270-30]={{M}_{2}}{{B}_{H}}\sin 30{}^\circ \] | ...(2) | ||
from (1) and (2) | |||
\[\frac{{{M}_{1}}}{{{M}_{2}}}=\frac{150}{240}=\frac{5}{8}\] | |||
\[\frac{{{M}_{1}}}{{{M}_{2}}}=\frac{5}{8}\] | |||
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