(B) The sensitivity of a galvanometer is defined as the deflection produced per unit current,i.e.,$S = \frac{\theta}{I}$.Given that both galvanometers

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$G_{1}$ is more sensitive than $G_{2}$.

(B) The sensitivity of a galvanometer is defined as the deflection produced per unit current,i.e.,$S = \frac{\theta}{I}$.Given that both galvanometers produce the same deflection $\theta$,the sensitivity is inversely proportional to the current required: $S \propto \frac{1}{I}$.For $G_{1}$,$I_{1} = 2 \ mA$,so $S_{1} = \frac{\theta}{2 \ mA}$.For $G_{2}$,$I_{2} = 3 \ mA$,so $S_{2} = \frac{\theta}{3 \ mA}$.Comparing the two,since $I_{1} S_{2}$.Therefore,$G_{1}$ is more sensitive than $G_{2}$.

Class 12 Physics Moving Charges and Magnetism The Moving Coil Galvanometer (Sensitivity) and Ammeter and Voltmeter Conversion

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Two galvanometers $G_{1}$ and $G_{2}$ require $2 \ mA$ and $3 \ mA$ respectively to produce the same deflection. Then:

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A
$G_{1}$ and $G_{2}$ are equally sensitive.
B
$G_{1}$ is more sensitive than $G_{2}$.
C
$G_{1}$ is less sensitive than $G_{2}$.
D
Sensitivity of $G_{2}$ is $\frac{3}{2}$ times that of $G_{1}$.

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Moving Charges and Magnetism

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The Moving Coil Galvanometer (Sensitivity) and Ammeter and Voltmeter Conversion

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Medium

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Two galvanometers $G_{1}$ and $G_{2}$ require $2 \ mA$ and $3 \ mA$ respectively to produce the same deflection. Then:

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The sensitivity of a galvanometer that measures current is decreased by $\frac{1}{40}$ times by using a shunt resistance of $10 \Omega$. Then,the value of the resistance of the galvanometer is (in $\Omega$)

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