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 :

Question

G1 Physics · Accepted Answer

For corresponding temperatures on two linear scales, [reading - lower fixed point]/[upper fixed point - lower fixed point] is the same. From the graph, the lower fixed point is 30°P and 0°Q, while the intervals are 150 divisions on P and 100 divisions on Q. Hence [t(P) - 30]/150 = t(Q)/100.