The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower…

The graph between two temperature scales P and Q is shown in the figure. Between upper fixed point and lower fixed point there are 150 equal divisions of scale P and 100 divisions on scale Q. The relationship for conversion between the two scales is given by :

.

  1. tQ150=tP-180100
  2. tQ100=tP-30150
  3. tP180=tQ-40100
  4. tQ100=tP-180150

Solution

From the graph

For scale P,
Lower fixed point=180-150=30°P

Upper fixed point=180°P

For scale Q,
Lower fixed point=0°Q

Upper fixed point=100°Q

Thus, the relationship between the two scales P and Q is given by

tP-30180-30=tQ-0100-0

tP-30150=tQ100

Asked in: JEE Main 2023 (25 Jan Shift 2)

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