In the interval 0°C to 660°C plantinum resistance thermometer is used for interpolating temperature on internation scale. If the variation of resistance with temperature is given by R1=R°[1+at+bt2],find the value of a,b given R°=10π,R100=13.948π and R444.6=24.817π
"1.3948=1+100a+100^2b),"
"2.4817=(1+444.6a+444.6^2b),"
"\\implies"
"a=4.13\\cdot 10^{-3},"
"b=-1.79\\cdot 10^{-6}."
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