Question

During the day time, the atmospheric temperature rises by \[{18^ \circ }F\]. What is the corresponding rise on the Celsius scale?
A) \[{10^ \circ }C\]
B) \[{20^ \circ }C\]
C) \[{30^ \circ }C\]
D) \[{40^ \circ }C\]

Answer 1

Hint: Celsius and Fahrenheit are both the names of the scale that are used for measuring temperatures. But Celsius is most widely used and accepted instead of Fahrenheit which is used in only a few countries.

Complete step by step solution:
Step I:
In the Celsius scale, the melting point of ice is \[{0^ \circ }\] and the boiling point of water is \[{100^ \circ }\]. So there are a hundred divisions on a Celsius scale.
Step II:
In the Fahrenheit scale, the melting point of ice is \[{32^ \circ }\] and the boiling point of water is \[{212^ \circ }\]. So there are \[180\] divisions in the Fahrenheit scale.
Step III:
It is clear that
180 divisions of fahrenheit scale = 100 divisions of Celsius scale
 Hence ,
\[\Delta F \times 100 = \Delta C \times 180\]---(i)
Step IV:
As given in the question,
\[\Delta F = {18^ \circ }\]
Substituting value of \[\Delta F\] in equation (i),
\[18 \times 100 = \Delta C \times 180\]
\[\Delta C = \dfrac{{18 \times 100}}{{180}}\]
\[\Delta C = {10^ \circ }\]
Step V:
The Celsius scale can be converted into Fahrenheit scale and vice versa.
To convert Celsius to Fahrenheit, the formula used is
\[F = C \times \dfrac{9}{5} + 35\]
To convert Fahrenheit to Celsius, the formula used is
\[C = (F - 32) \times \dfrac{5}{9}\]

Hence, Option A is the correct answer.

Note:
Though there are other scales to measure temperature like Kelvin. But Celsius is the most easier way of measuring temperature. Celsius scale was earlier known as Centigrade but later its name was changed. It is to be known that all the scales are just different ways of measuring temperature. They can be converted from one form to another as they are related to each other. The Celsius scale and Fahrenheit scale coincides at \[ - {40^ \circ }\]. At this temperature the values for both the scales are the same.