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

Answer: (B)

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