What temperature are Fahrenheit and Celsius equal?
A
:
-40°
B
:
574.59
C
:
40
D
:
-574.59
General Science
Physics
Heat and Transfer
Answer
Option 1 : -40°
Explanation
Concept:
- Temperature: It is the measure of the degree of hotness and coldness of a body.
- The SI unit of temperature is Kelvin (K).
Fahrenheit and Celsius are measurements of temperature and are related to each other as follows:
C = (F - 32) × \(\frac{5}{9}\)
Where C is the temperature in Celsius and F is the temperature in Fahrenheit.
EXPLANATION:
Since we need temperature in fahrenheit and celsius to be equal:
Now, let C = F = x
So,
x = (x - 32) × \(\frac{5}{9}\)
or, 9x = 5x – 160
or, 4x = -160
or, x = -40
Therefore, -40°C = -40°F