A centigrade and a Fahrenheit thermometer are | vedclass

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(B) The boiling point of water on the Centigrade scale is $100^{\circ}C$ and on the Fahrenheit scale is $212^{\circ}F$.Initially,both thermometers are

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$40$

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(B) The boiling point of water on the Centigrade scale is $100^{\circ}C$ and on the Fahrenheit scale is $212^{\circ}F$.Initially,both thermometers are at the boiling point.The final temperature on the Fahrenheit scale is $F = 140^{\circ}F$.Using the conversion formula $\frac{C}{5} = \frac{F - 32}{9}$,we find the final temperature on the Centigrade scale:$\frac{C}{5} = \frac{140 - 32}{9} = \frac{108}{9} = 12$.$C = 12 	imes 5 = 60^{\circ}C$.The fall in temperature on the Centigrade scale is $\Delta C = 100^{\circ}C - 60^{\circ}C = 40^{\circ}C$.

$A$ centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers $140^{\circ}F$. What is the fall in temperature as registered by the Centigrade thermometer in $^{\circ}C$?

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