The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8Ω and 10Ω respectively. After inserting in a hot bath of temperature 40 0 ∘ C , the resi

Question

The resistances of the platinum wire of a platinum resistance thermometer at the ice point and steam point are 8Ω and 10Ω respectively. After inserting in a hot bath of temperature 40 0 ∘ C , the resistance of platinum wire is :

TestHub · Accepted Answer

Given R 0 ​ = 8Ω , R 100 ​ = 10Ω ∴ R 100 ​ = R 0 ​ ( 1 + α Δ T ) Also, R 400 ​ = R 0 ​ ( 1 + α Δ T 1 ) ​ ∴ 10 = 8 ( 1 + α × 100 ) ⇒ 100 α = 4 1 ​ ∴ R 400 ​ = 8 ( 1 + 400 α ) = 8 ( 1 + 1 ) = 16Ω ​

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