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A platinum resistancethermometer reads 0...

A platinum resistancethermometer reads `0^0`at the ice point and boiling point of water respectively. The resistance of a platnum wire varies with Celsius temperature `theta` as `R_t = R_0 (1+alphatheta + betatheta^2)`, where `alpha = 3.8 xx 10^(-3) ^0 C^(-1)` and `beta= -5.6 xx 10^(-7) ^0 C^(-2)`. What will be the reading of this thermometer if it is pleaced in a liquid bath maintained at `50^0 C`?

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The correct Answer is:
`197^(@)C`
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