Question

Which is greater−a 1° rise in the Celsius scale or a 1° rise in the fahrenheit scale?

Answer 1

1° rise in the Celsius scale is greater than a 1° rise in the Fahrenheit scale. It is shown in the calculation below.
F₂ - F₁ = [($\frac{9}{5}$)C₂ + 35 ] - [($\frac{9}{5}$)C₁ + 35]
1 = ($\frac{9}{5}$)C₂ - ($\frac{9}{5}$)C₁
1 = ($\frac{9}{5}$)[C₂ - C₁]
$\frac{5}{9}$ = C₂ - C₁
0.56 = C₂ - C₁
Hence, for the same temperature increase, the increase on the Celsius scale is only by 0.56^o, while that on the Fahrenheit scale is by 1^o. Hence, 1^o rise in the Celsius scale is greater than the 1^o rise on the Fahrenheit scale.