Question

The graph between two temperature scale 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)

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

Answer 2

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

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