Solveeit Logo
Login

Question

Question: The temperature which has same numerical value on Celsius and Fahrenheit scale is...

The temperature which has same numerical value on Celsius and Fahrenheit scale is

A

273

B

– 273

C
  • 40
D

40

Answer
  • 40
Explanation

Solution

Let T be the same numerical value of temperature on Celsius scales and Farenhe it scale, Then using the relations. ∘C100=∘F−32180\frac{{^\circ}C}{100} = \frac{{^\circ}F - 32}{180}According to questions

∘C=∘F=T∴T100=T−32180∘∴T=−4∘C=−40∘F{^\circ}C = {^\circ}F = T\therefore\frac{T}{100} = \frac{T - 32}{180{^\circ}}\therefore T = - 4{^\circ}C = - 40{^\circ}F