Question

Figure shows three temperature scales with the freezing and boiling point of water indicated. A change of $25R^{\circ }$, $25S^{\circ }$ and $25U^{\circ }$ is denoted by $x_1,x_2,x_3$ respectively. Which of the following is correct:

• A. $x_1>x_2>x_3$
• B. $x_2<x_1<x_3$
• C. $x_3>x_2>x_1$
• D. $x_2>x_3>x_1$

Answer 1

Answer: (D)

$x_2>x_3>x_1$

${100}^{o}R$, ${70}^{o}S$ and ${75}^{o}U$ are respectively the ranges of temperatures on the three scales.

A change of ${25}^{o}R$ is $\frac{25}{100}$th of the range( This is $x_1$)

A change of ${25}^{o}S$ is $\frac{25}{70}$th of the range.( This is $x_2$)

A change of ${25}^{o}U$ is $\frac{25}{75}$th of the range.( This is $x_3$)

As we can see $x_2>x_3>x_1$