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