Question

The graph between two temperature scales A and B is shown in figure . Between upper fixed point and lower fixed point there are 150 equal division on scale A and 100 on scale B. The relationship for conversion between the two scales is given by

• A. $\frac{T_A-180}{100}=\frac{T_B}{150}$
• B. $\frac{T_A-30}{150}=\frac{T_B}{100}$
• C. $\frac{T_B-180}{150}=\frac{T_A}{100}$
• D. $\frac{T_B-40}{100}=\frac{T_A}{180}$

Answer 1

The correct option is B $\frac{T_A-30}{150}=\frac{T_B}{100}$

From the graph
For scale A,
Lower fixed pointy$={30}^{o}A$
Upper fixed point $={180}^{o}A$
For the scale B,
Lower fixed point $=0^{o}B$
Upper fixed point $={100}^{o}B$
$\therefore$ the relationship between the two scales A and B is given by
$\frac{T_A-30}{150}=\frac{T_B-0}{100}=\frac{T_B}{100}$