A Centigrade and a Fahrenheit thermometer are | vedclass

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(B) The boiling point of water is $100 ^\circ C$ or $212 ^\circ F$.The initial temperature of the water is $212 ^\circ F$.The final temperature of the

Vedclass · Accepted Answer

$40$

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(B) The boiling point of water is $100 ^\circ C$ or $212 ^\circ F$.The initial temperature of the water is $212 ^\circ F$.The final temperature of the water is $140 ^\circ F$.The change in temperature on the Fahrenheit scale is $\Delta T_F = 212 ^\circ F - 140 ^\circ F = 72 ^\circ F$.The relationship between a change in temperature on the Celsius scale $(\Delta T_C)$ and the Fahrenheit scale $(\Delta T_F)$ is given by $\Delta T_C = \frac{5}{9} \Delta T_F$.Substituting the value of $\Delta T_F$:$\Delta T_C = \frac{5}{9} 	imes 72 = 5 	imes 8 = 40 ^\circ C$.Thus,the Centigrade thermometer will show a drop of $40 ^\circ C$.

$A$ Centigrade and a Fahrenheit thermometer are dipped in boiling water. The water is then cooled until the Fahrenheit thermometer reads $140 ^\circ F$. The corresponding drop in temperature as recorded by the Centigrade thermometer is ...... $^\circ C$.

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