The length L (in centimetre) of a copper rod is a linear function of its Celsius temperature C. In an experiment, if L = 124.942 when C = 20 and L= 125.134 when C = 110, express L in terms of C.
Assuming L along X-axis and C along Y-axis, we have two points (124.942, 20) and (125.134, 110) in XY-plane.
We know that the equation of the line passing through the points (x1, y1) and (x2, y2) is given by
∴
⇒
⇒ 0.192 (C – 20) = 90 (L – 124.942)
⇒ L =
Ans. The required relation is L = .