Theelectrical resistance in ohms of a certain thermometer varies withtemperature according to the approximate law-R - Ro-1 - alpha- -T ndash-To-Theresistance is 101-6 Omega- at the triple-point of water 273-16 K-and 165-5 Omega- at the normal melting point of lead -600-5 K- Whatis the temperature when the resistance is 123-4 Omega-

Itis given that:R= R0[1 + alpha; (T ndash;T0)] hellip;(i)Where,R0and T0 are the initial resistance and temperaturerespectivelyR and Tare the final re ...

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Standard X

Physics

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Theelectrical...

Question

Theelectrical resistance in ohms of a certain thermometer varies withtemperature according to the approximate law:
R = R_o[1 + α (T –T_o)]
Theresistance is 101.6 Ω at the triple-point of water 273.16 K,and 165.5 Ω at the normal melting point of lead (600.5 K). Whatis the temperature when the resistance is 123.4 Ω?

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Solution

Itis given that:
R= R₀[1 + α (T –T₀)] …(i)
Where,
R₀and T₀ are the initial resistance and temperaturerespectively
R and Tare the final resistance and temperature respectively
αis a constant
At the triple point ofwater, T₀ = 273.15 K
Resistance of lead, R₀= 101.6 Ω
At normal melting pointof lead, T = 600.5 K
Resistance of lead, R= 165.5 Ω
Substituting thesevalues in equation (i), we get:
For resistance, R₁= 123.4 Ω

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