Question

A Kelvin thermometer and a fahrenheit thermometer both give the same reading for a certain sample. What would be the corresponding reading in a Celsius thermometer? 

(a) 574 

(b) 301

(c) 273

(d) 232

Answer 1

Correct option is (b) 301

Let the common temperature in Kelvin and Fahrenheit is x, then

\(\frac{F - 32}{180} = \frac{K - 273}{100}\)

⇒ \(\frac{x - 32}{180} = \frac{x - 273}{100}\)

⇒ \(\frac{x-32}9= \frac{x-273}5\)

On solving, 

x = 574

In Celsius thermometer, 

K = C + 273 

⇒ C = K - 273

= 574 - 273

= 301