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A Celsius and a Fahrenheit thermometer are dipped in boiling water. The water temperature is lowered until the Fahrenheit thermometer registers a fall of 72°F. What will be the fall in temperature on the Celsius scale?

(a) 40 °C

(b) 70 °C

(c) 50 °C

(d) 22.2 °C

Answer :

40°C is the fall in temperature in Celsius scale. Option A is correct choice.

The conversion formula between Celsius and Fahrenheit scales,

F = (9/5)*C + 32

where F is the temperature in Fahrenheit and C is the temperature in Celsius.

Let's assume that the boiling point of water is 100°C in the Celsius scale and 212°F in the Fahrenheit scale. When the thermometers are dipped in boiling water,

Fahrenheit thermometer: F = 212°F

Celsius thermometer: C = 100°C

The temperature of the water until the Fahrenheit thermometer registers a fall of 72°F,

F = 212°F - 72°F = 140°F

Use the conversion formula,

C = (5/9)(F - 32) = (5/9)(140°F - 32) = 60°C

Therefore, the fall in temperature in Celsius scale is,

100°C - 60°C = 40°C

Answer is (a) 40°C.

To know more about the Celsius, here

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