The temperature at which the Celsius and Fahrenheit's scales show the same value is

Question

Question

This question was previously asked in

BPSC AE Paper 3 (General Studies) 2019 Official Paper

Answer 1

The correct answer is option 4.

Important Points

Celsius and Fahrenheit's temperatures show the same value at -40°.

The conversion formula for Celsius to Fahrenheit is given by:

\(F={9\over5}C +32\)

To find the temperature where both Fahrenheit and Celsius temperatures are equal let \(F=C=x\)

Substituting these values in the equation above we get

\(x-{9\over5}x=32 \)

\({5x-9x\over5}=32\)

\({-4x\over 5}=32\)

\(x=-{5\over 4}\times32=-{160\over4}=-40\)

Therefore -40º is the temperature where Both Celsius and Fahrenheit read the same.

There are four scales of temperature are Fahrenheit, Celsius, Kelvin, and Rankine.
When following SI units, Temperature is measured in Kelvins.
The lower possible temperature that can be achieved is -273.15ºC or 0K and is called absolute zero.

Temperature Scale	Developed by
Celsius	Andres Celsius
Fahrenheit	Daniel Gabriel Fahrenheit
Kelvin	William Thomson (Lord Kelvin)
Rankine	William John Macquorn Rankine