NEET-XII-Physics

23: Heat and Temperature

with Solutions - page 3
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  • #1
    The steam point and the ice point of a mercury thermometer are marked as 80° and 20°. What will be the temperature on a centigrade mercury scale when this thermometer reads 32°?
    Ans : Given:
    Ice point of a mercury thermometer, T0 = 20° C
    Steam point of a mercury thermometer, T100 = 80° C
    Temperature on thermometer that is to be calculated in centigrade scale, T1 = 32° C​
    Temperature on a centigrade mercury scale, T, is given as:
    `` T\mathit{=}\frac{{T}_{\mathit{1}}\mathit{-}{T}_{\mathit{0}}}{{T}_{\mathit{100}}\mathit{-}{T}_{\mathit{0}}}\times 100``
    `` \Rightarrow T=\frac{32-20}{80-20}\times 100``
    `` \Rightarrow T=\frac{12}{60}\times 100``
    `` \Rightarrow T=\frac{120}{6}``
    `` \Rightarrow T=20°\,\mathrm{\,C\,}``
    Therefore, the temperature on a centigrade mercury scale will be 20o C.
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