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.

Question

Philoid · Accepted Answer

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 = .