Answer
Verified
97.8k+ views
Hint: A thermometer is a device used for measuring the temperature. It indicates the degree of hotness or coldness of a body. Sir Thoams Allbut in 1867 invented the first real medical thermometer. The Zeroth law of thermodynamics principle is used in thermometers.
Complete solution:
Let t be the temperature which is reading the same on the Kelvin and Fahrenheit thermometer.
We know that, $\dfrac{{K - 273}}{{100}} = \dfrac{{F - 32}}{{180}}$
Substituting K and F values as t, we get
$ \Rightarrow $ $\dfrac{{t - 273}}{{100}} = \dfrac{{t - 32}}{{180}}$
$ \Rightarrow $ $9t - 2457$ = $5t - 160$
$ \Rightarrow $ $4t = 2297$
$ \Rightarrow $ $t = 574.25$
Thus, the Temperature on the Celsius thermometer = $574.25 - 273 = 301.25$
$\therefore $ The Temperature on the Celsius thermometer = $301.25 ^\circ C$.
Hence the correct option is A.
Note: 1) The Celsius thermometer and the Fahrenheit thermometer use degrees to measure the temperature whereas the Kelvin thermometer does not use degrees. It uses the kelvin and is represented by K as a unit of measurement.
2) Mercury is used in thermometers because it has a high coefficient of expansion which enables easy movement in the thermometers as per the temperatures.
3) There is no point at which the Kelvin scale and Celsius scale are equal, even though the size of the degree is the same between them. Celsius temperature can be negative and is always higher than the Kelvin scale. Kelvin cannot be negative but can go down to absolute zero.
4) In the Celsius thermometer, the boiling point of water is 100$^\circ $C and the freezing point is at 0$^\circ $C. In the Fahrenheit thermometer, the boiling point of water at 212$^\circ $F, and the freezing point is at 32$^\circ $F.
Complete solution:
Let t be the temperature which is reading the same on the Kelvin and Fahrenheit thermometer.
We know that, $\dfrac{{K - 273}}{{100}} = \dfrac{{F - 32}}{{180}}$
Substituting K and F values as t, we get
$ \Rightarrow $ $\dfrac{{t - 273}}{{100}} = \dfrac{{t - 32}}{{180}}$
$ \Rightarrow $ $9t - 2457$ = $5t - 160$
$ \Rightarrow $ $4t = 2297$
$ \Rightarrow $ $t = 574.25$
Thus, the Temperature on the Celsius thermometer = $574.25 - 273 = 301.25$
$\therefore $ The Temperature on the Celsius thermometer = $301.25 ^\circ C$.
Hence the correct option is A.
Note: 1) The Celsius thermometer and the Fahrenheit thermometer use degrees to measure the temperature whereas the Kelvin thermometer does not use degrees. It uses the kelvin and is represented by K as a unit of measurement.
2) Mercury is used in thermometers because it has a high coefficient of expansion which enables easy movement in the thermometers as per the temperatures.
3) There is no point at which the Kelvin scale and Celsius scale are equal, even though the size of the degree is the same between them. Celsius temperature can be negative and is always higher than the Kelvin scale. Kelvin cannot be negative but can go down to absolute zero.
4) In the Celsius thermometer, the boiling point of water is 100$^\circ $C and the freezing point is at 0$^\circ $C. In the Fahrenheit thermometer, the boiling point of water at 212$^\circ $F, and the freezing point is at 32$^\circ $F.
Recently Updated Pages
Write a composition in approximately 450 500 words class 10 english JEE_Main
Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main
Write an article on the need and importance of sports class 10 english JEE_Main
Name the scale on which the destructive energy of an class 11 physics JEE_Main
Choose the exact meaning of the given idiomphrase The class 9 english JEE_Main
Choose the one which best expresses the meaning of class 9 english JEE_Main
Other Pages
A ball of mass 05 Kg moving with a velocity of 2ms class 11 physics JEE_Main
If two bulbs of 25W and 100W rated at 200V are connected class 12 physics JEE_Main
Formula for number of images formed by two plane mirrors class 12 physics JEE_Main
A mosquito with 8 legs stands on the water surface class 11 physics JEE_Main
If a wire of resistance R is stretched to double of class 12 physics JEE_Main
Electric field due to uniformly charged sphere class 12 physics JEE_Main