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

Open in App

Solution

As per the given graph, it is clear that the lowest point for scale $A$ is $30^{\circ}$ and highest point for the scale $A$ is $180^{\circ .}$

Lowest point for scale $B$ is $0^{\circ}$ and highest point for scale $B$ is $100^{\circ}$ . Hence, the relation between the two scales A and B is given by

$\frac{T_{A} - (L F P)_{A}}{(U F P)_{A} - (L F P)_{A}} = \frac{T_{B} - (L F P)_{B}}{(U F P)_{B} - (L F P)_{B}}$

Where,

$L F P$ =Lower fixed point

$U F P$ =Upper fixed point

Therefore, by given equation we get,

$\frac{T_{A} - 30}{180 - 30} = \frac{T_{B} - 0}{100 - 0}$

Hence,

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

Final Answer: $(b)$

Suggest Corrections

Similar questions

The number of divisions between upper and lower fixed point in Fahrenheit scale is

Q. The difference between lower fixed point and upper fixed point is divided into______ parts on a Celsius scale.

Q. Derive a relation between the Celsius and Fahrenheit Scales of temperature using the fixed points in the two different scales.

The distance between the upper and lower fixed points is 80 cm.Find the temperature on Celsius scale if the mercury level rises to a height 10.4 cm above the lower fixed point. What will be this temperature on the Fahrenheit scale ?

Q. (a) Write down the temperature of (i) lower fixed point, and (ii) upper fixed point, Fahrenheit scale.

(b) What is the Fahrenheit scale of temperature ?

Join BYJU'S Learning Program

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

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