9. The resistance of a resistance thermometer has values 2.70Q and 3.70Q at OOC and 1000C respectively. The temperature at which the resistance is 3.100 is

Asked by Venkeylkm | 16th Jul, 2020, 04:12: PM

Expert Answer:

Question: - The resistance of a resistance thermometer has values 2.70Ω and 3.70Ω at 0°C and 100°C respectively. The temperature at which the resistance is 3.10Ω is
A t space 0 degree C comma space R subscript 0 space equals space 2.7 capital omega space
A t space 100 degree C comma space R subscript 100 space equals space 3.7 capital omega
t space equals ? space R subscript t space equals space 3.1 capital omega
t space equals space fraction numerator R subscript t space minus space R subscript 0 over denominator R subscript 100 space minus space R subscript 0 end fraction space cross times 100 space equals space fraction numerator 3.1 space minus space 2.7 over denominator 3.7 space minus space 2.7 end fraction cross times 100
t space equals space fraction numerator 0.4 over denominator 1 end fraction cross times 100 space equals space 40 degree C 
The temperature at which the resistance is 3.10 Ω  is 40ºC

Answered by Shiwani Sawant | 23rd Jul, 2020, 10:33: PM