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  4. The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is

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Q. The reading of Centigrade thermometer coincides with that of Fahrenheit thermometer in a liquid. The temperature of the liquid is

Thermal Properties of Matter

Solution:

Let the readings of two thermometers coincide at $C=F=x$
As $\frac{C}{5}=\frac{F-32}{9}$
$\therefore \frac{x}{5}=\frac{x-32}{9}$
or $9 x=5 x-160$
$x=-40^{\circ} C$