In a moving coil galvanometer, two moving coils \({\mathrm{M}}_{1}\) and \({\mathrm{M}}_{2}\) have the following particulars :

\({\mathrm{R}}_{1}=5\Omega ,{\mathrm{N}}_{1}=15,{\mathrm{A}}_{1}=3.6\times {10}^{-3}{\mathrm{m}}^{2},\)\({\mathrm{B}}_{1}=0.25\mathrm{T}\)
\({\mathrm{R}}_{2}=7\Omega ,{\mathrm{N}}_{2}=21,{\mathrm{A}}_{2}=1.8\times {10}^{-3}{\mathrm{m}}^{2},\)\({\mathrm{B}}_{2}=0.50\mathrm{T}\)
Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of \({\mathrm{M}}_{1}\) and \({\mathrm{M}}_{2}\)?

[JEE Main 2025, 2 Apr (Shift 2)]

Question

In a moving coil galvanometer, two moving coils \({\mathrm{M}}_{1}\) and \({\mathrm{M}}_{2}\) have the following particulars :

\({\mathrm{R}}_{1}=5\Omega ,{\mathrm{N}}_{1}=15,{\mathrm{A}}_{1}=3.6\times {10}^{-3}{\mathrm{m}}^{2},\)\({\mathrm{B}}_{1}=0.25\mathrm{T}\)
\({\mathrm{R}}_{2}=7\Omega ,{\mathrm{N}}_{2}=21,{\mathrm{A}}_{2}=1.8\times {10}^{-3}{\mathrm{m}}^{2},\)\({\mathrm{B}}_{2}=0.50\mathrm{T}\)
Assuming that torsional constant of the springs are same for both coils, what will be the ratio of voltage sensitivity of \({\mathrm{M}}_{1}\) and \({\mathrm{M}}_{2}\)?

[JEE Main 2025, 2 Apr (Shift 2)]

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