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
$\frac{T_{A}-30}{150}=\frac{T_{B}-0}{100}$
$=\frac{T_{B}}{100}$