Question

The lower fixed point of a thermometer is marked at \[{{10}^{0}}\]and the upper fixed point \[{{130}^{0}}\], the interval between the fixed points being divided into 120 equal divisions. What would be the reading indicated by this thermometer when a centigrade thermometer reads \[{{40}^{0}}\]?

Answer 1

Hint:The temperature scales are used to measure temperatures and they are widely used in doctor’s clinic, laboratories and industrial purposes. There can be different kinds of thermometers which can be used to measure the temperature. The lowermost point is the temperature which can be measured. The uppermost point is the highest temperature that could be measured.

Complete step by step answer:
Least count is found by dividing the value of main scale division by the total number of divisions present. Here total there are 100 divisions in the measuring scale while the interval between the fixed points being divided into 120 equal divisions. So, the main scale divisions equal to 120.
Lower point= \[{{10}^{0}}\]
Upper point= \[{{130}^{0}}\]
Range= 130-10= 120
Number of divisions= 100
So, the least count will be: \[\dfrac{120}{100}={{1.2}^{0}}C\]
On the real thermometer, Celsius one, \[{{40}^{0}}C\] means 40 divisions.
So, on the given thermometer, it would show= \[40\times L.C\]
$\Rightarrow 40\times L.C \\
\Rightarrow 40\times 1.2 \\
\therefore {{48}^{0}}C $
This is the required answer.

Thus, ${{48}^{0}}C$ is the reading indicated by this thermometer when a centigrade thermometer reads \[{{40}^{0}}\].

Note:The thermal energy of a body is determined by its temperature. We can define Temperature as the measure of the thermal energy of a body at thermal equilibrium. To measure temperature different scales are available in the market and the choice of scale depends upon for what purpose we need it. For example, the Fahrenheit scale is most widely used to measure the temperature of the human body. Similarly, the Celsius scale is used in laboratories while doing experiments and all. In science, the Celsius scale is most common; 0 is taken as the ice point of water and 100 the normal boiling point of water.