A resistance thermometer reads R = 20.0 Ω, 27.5 Ω, and 50.0 Ω at the ice point (0∘C), the steam point (100∘C) and the zinc point (420∘C) respectively. Assuming that the resistance varies with temperature as Rθ=R0(1+αθ+βθ2), find the values of R0, α and β. Here θ represents the temperature on Celsius scale.

A resistance thermometer reads R = 20.0 Ω, 27.5 Ω, and 50.0 Ω at t

1.	A resistance thermometer reads R = 20.0 Ω, 27.5 Ω, and 50.0 Ω at the ice point (0∘C), the steam point (100∘C) and the zinc point (420∘C) respectively. Assuming that the resistance varies with temperature as Rθ=R0(1+αθ+βθ2), find the values of R0, α and β. Here θ represents the temperature on Celsius scale.
Answer» A resistance thermometer reads R = 20.0 $Ω$ , 27.5 $Ω$ , and 50.0 $Ω$ at the ice point ( $0^{\circ} C$ ), the steam point ( $100^{\circ} C$ ) and the zinc point ( $420^{\circ} C$ ) respectively. Assuming that the resistance varies with temperature as $R_{θ} = R_{0} (1 + α θ + β θ^{2})$ , find the values of $R_{0}, α$ and $β$ . Here $θ$ represents the temperature on Celsius scale.

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