Concepts Of Physics MCQ Edition [Volume 2]PhysicsHeat and Temperature
Which of the following pairs of scales can yield identical numerical values for the temperature of a body?
Options
- AKelvin and platinum
- BFahrenheit and kelvin
- CCelsius and kelvin
- DFahrenheit and Rankine
Correct answer
B. Fahrenheit and kelvin
Step-by-step solution
The relation between the Fahrenheit and Kelvin scales is given by: F - 32 180 = K - 273.15 100 For the two scales to show the same reading, let F = K = x . Substituting this into the equation: x - 32 9 = x - 273.15 5 5x - 160 = 9x - 2458.35 4x = 2298.35 x = 574.59 Thus, the Fahrenheit and Kelvin scales can yield identical numerical values at 574.59 . For Celsius and Kelvin, the relation is K = C + 273.15 , which means they can never be equal. For Fahrenheit and Rankine, the relation is R = F + 459.67 , which means