MHT CET · Physics · Current Electricity
Scale of galvanometer divided into 100 equal divisions has a current
sensitivity 10 div./mA and voltage sensitivity 4 div./mV. The resistance of
galvanometer is
- A \(5 \Omega\)
- B \(2.50\)
- C \(10 \Omega\)
- D \(7.5 \Omega\)
Answer & Solution
Correct Answer
(B) \(2.50\)
Step-by-step Solution
Detailed explanation
\(\frac{\mathrm{d} \theta}{\mathrm{dI}}=10 \mathrm{div} / \mathrm{m} \mathrm{A}, \frac{\mathrm{d} \theta}{\mathrm{dV}}=4 \operatorname{div} / \mathrm{mV}\)
\(\frac{\frac{\mathrm{d} \theta}{\mathrm{dI}}}{\frac{\mathrm{d} \theta}{\mathrm{dV}}}=\frac{\mathrm{dV}}{\mathrm{dI}}=\frac{10 \mathrm{mV}}{4 \mathrm{~mA}}=2.5 \Omega\)
\(\frac{\frac{\mathrm{d} \theta}{\mathrm{dI}}}{\frac{\mathrm{d} \theta}{\mathrm{dV}}}=\frac{\mathrm{dV}}{\mathrm{dI}}=\frac{10 \mathrm{mV}}{4 \mathrm{~mA}}=2.5 \Omega\)
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