When a \(15\,\Omega\) resistor is connected in parallel to a galvanometer, its deflection becomes one-fourth. Then the resistance of the galvanometer is
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For a galvanometer with shunt,
\[
\boxed{
\frac{I_s}{I_g}
=
\frac{R_g}{R_s}.
}
\]
Also,
\[
\boxed{\text{Deflection}\propto I_g.}
\]
A decrease in deflection directly indicates a decrease in the current through the galvanometer.