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A current of $200 μ A$ deflects the coil of a moving coil galvanometer through $60^{0}$ . The current to cause deflection through $\frac{π}{10}$ radian is :

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$120 μ A$

$30 μ A$

$60 μ A$

$180 μ A$

answer is C.

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Detailed Solution

$i α θ$ (angle of deflection)

$\begin{array}{l} ∴ \frac{i_{2}}{i_{1}} = \frac{θ_{2}}{θ_{1}} \Rightarrow \frac{i_{2}}{200 μ A} = \frac{π / 10}{π / 3} = \frac{3}{10} \\ \Rightarrow i_{2} = 60 μ A \end{array}$

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