A current of $200\ \mu \mathrm{A}$ deflects the coil of a moving coil galvanometer through $60^{\circ}$. The current to cause deflection through $\frac{\pi}{10}$ radian is:
JEE MAIN 2024, Diffcult
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$i \propto \theta$ (angle of deflection)
$ \therefore \frac{i_2}{i_1}=\frac{\theta_2}{\theta_1} \Rightarrow \frac{i_2}{200 \mu \mathrm{A}}=\frac{\pi / 10}{\pi / 3}=\frac{3}{10}$
$ \Rightarrow \mathrm{i}_2=60\ \mu \mathrm{A}$
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