Question

The temperature at which the reading of Fahrenheit thermometer will be double
that of a Centigrade thermometer is:
(A) ${160}^{\circ }\mathrm{C}$
(B) ${180}^{{}^{\circ }}C$
(C) ${32}^{{}^{\circ }}C$
(D) ${100}^{{}^{\circ }}C$

Answer 1

Hint
We know that Celsius scale, or centigrade scale, is a temperature scale that is based on the freezing point of water at $0^{\circ }\mathrm{C}$ and the boiling point of water at ${100}^{\circ }\mathrm{C}$ . Fahrenheit scale is a temperature scale that is based on the freezing point of water at ${32}^{\circ }\mathrm{F}$ and he boiling point of water at ${212}^{\circ }\mathrm{F}$ . One degree of change on the Celsius scale is a larger temperature change than one degree of change on the Fahrenheit scale. It is almost twice as much change. So, here, one Celsius is hotter. The one-degree point on the Fahrenheit scale is well below the freezing temperature of water. Fahrenheit is superior for measuring temperature precisely. It's also better because humans tend to care more about air temperature rather than water temperature. For those reasons, we should welcome Fahrenheit as a standard of temperature measurement, rather than rejecting it for its metric counterpart. Based on this we have to solve this question.

Complete step by step answer
We consider the variable C to be centigrade and the variable F to be Fahrenheit.
Given, $F=2C$
 $\frac{C}{100}=\frac{F-32}{180}$
 $\frac{C}{100}=\frac{2C-32}{180}$
 $C\times 9=5(2C-32)$
 $9C=10C-10$
 $C={160}^{\circ }\mathrm{C}$ .
Therefore, the correct answer is Option (A).

Note
It should be known that the factors that affect temperature are altitude, latitude and distance from sea. The height measured from sea level is called altitude. When the latitude increases, the distance from the sun also increases, so the temperature gradually decreases. A thermometer is a device used for measuring temperature. This ice-covered thermometer shows that the temperature is about 0 degrees Celsius, or 32 degrees Fahrenheit. If this thermometer displayed the kelvin scale, used by scientists, the temperature would read about 274. A laboratory thermometer is used to measure the boiling point and freezing point during science experiments. It is also used to measure the temperature of substances. It measures temperature ranging between -10 degree Celsius and 110 degree Celsius.