A Centigrade and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers 140^∘. What is the fall in temperature as registered by the Centigrade thermometer?

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33.33⁰

22.22⁰

55.55⁰

66.66⁰

answer is B.

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Detailed Solution

The boiling point of water is 100℃ or 212℉. When the Centigrade and Fahrenheit thermometers are dipped in boiling water, they will both read the same temperature, which is 100℃ or 212℉.

If the water temperature is lowered until the Fahrenheit thermometer registers 140℉, this means that the temperature has decreased by 212℉ - 140℉ = 72℉.

To find out the fall in temperature as registered by the Centigrade thermometer, we need to convert 72℉ to Centigrade. We can use the following formula:

℃ = 5/9 (℉ - 32)

Substituting 72℉ into the formula, we get:

℃ = 5/9 (72 - 32) = 5/9 x 40 = 22.22℃

Therefore, the fall in temperature as registered by the Centigrade thermometer is 22.22℃.

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