Question

If the temperature of a water bath is $ {104^0}F $ then its value in degree Celsius scale will be?
(A) $ {35^0}C $
(B) $ {45^0}C $
(C) $ {50^0}C $
(D) $ {40^0}C $

Answer 1

Hint :In order to answer this question, you must be aware about the different scales of temperature. Temperature is a measure of how fast the particles of an object are moving. There are two main temperature scales: °C, the Celsius Scale (part of the Metric System, used in most countries); °F, the Fahrenheit Scale (mostly used in the US). They both measure the same thing i.e. temperature but use different numbers. For example: Boiling water (at normal pressure) measures 100° in Celsius, but 212° in Fahrenheit.

Complete Step By Step Answer:
Given: Temperature of the water bath is $ {104^0}F $
Conversion from Fahrenheit to Celsius is done by using the following formula:
 $ ({T^0}F - 32) \times \dfrac{5}{9} = {t^0}C $
The notation t represents the temperature in Celsius, and T is the temperature in Fahrenheit. After you know the formula, it is easy to convert Fahrenheit to Celsius with these three steps.
Subtract 32 from the Fahrenheit temperature.
Multiply this number by five.
Divide the result by nine.
This is done because the Celsius and the Fahrenheit start at a different number (0 vs 32) respectively, so we will need to subtract 32.
The scales rise at a different rate (100 vs 180), so we will also need to multiply $ \dfrac{{100}}{{180}} $ which on simplification gives $ \dfrac{5}{9} $ .
By substituting the values, we get
 $ ({104^0}F - 32) \times \dfrac{5}{9} = {t^0}C $
Therefore, temperature in degree Celsius is $ {40^0}C $
Hence, the correct option is (D).

Note :
Fahrenheit was the standard unit of measure in most countries until the 1960s and 1970s when it was replaced with the Celsius scale in a widespread conversion to the more useful metric system. In addition to the United States and its territories, Fahrenheit is still used in the Bahamas, Belize, and the Cayman Islands for most temperature measurements.