Verified Solution • 2025–26 Session moderate

QJEEM24Ph7bb8: JEE Main 2024 Physics - Class 12 JEEM24Ph7bb8 Solution: A current of deflects the coil of a moving coil galvanometer…

A current of 200μA200 \mu \mathrm{A} deflects the coil of a moving coil galvanometer through 60∘60^{\circ} . The current to cause deflection through π10\frac{\pi}{10} radian is :

Multiple Choice Options

  • A 120 μ\mu A
  • B 180 μ\mu A
  • C 30 μ\mu A
  • D 60 μ\mu A

Step-by-Step Verified Solution

i∝θ\mathrm{i} \propto \theta (angle of deflection)

amp;∴i2i1=θ2θ1⇒i2200μA=π/10π/3=310amp;⇒i2=60μA\begin{aligned}& \therefore \frac{\mathrm{i}_2}{\mathrm{i}_1}=\frac{\theta_2}{\theta_1} \Rightarrow \frac{\mathrm{i}_2}{200 \mu \mathrm{A}}=\frac{\pi / 10}{\pi / 3}=\frac{3}{10} \\& \Rightarrow \mathrm{i}_2=60 \mu \mathrm{A}\end{aligned}

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