In the post office box circuit, 10Ω plug is taken out in arm AB and 100 Ω plug is taken out in arm BC. If the unknown resistor is kept in melting ice chamber, 600 Ω resistance is required in arm AD for zero deflection in galvanometer. Now, if the unknown resistor is kept at 100°C (steam chamber), 630 Ω resistance is required in arm AD for zero deflection. Temperature coefficient of resistance of the unknown wire is found to be p×10−4/C°. Find the value of p ?
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answer is 5.
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Detailed Solution
PQ=RX⇒10100=600X⇒X=6000Ω For second case PQ=RX⇒10100=630X⇒X=6300ΩRf=R0(1+αΔT)⇒6300=6000(1+α(100))⇒α=5×10−4/C°