The thermal expansion of a plate of an isotropic, uniform material has much in c

Question

The thermal expansion of a plate of an isotropic, uniform material has much in common with an ordinary photographic enlargement of a picture. For example, consider the original image on the left below and the enlarged image below. Using a simple ruler, measure the distance between different pairs of points on the figures, and compute: . The change in distance The fractional change in distance (i.e., change of distance over original distance) 1. Which of these quantities is the (more or less) same for all pairs of points? (Select all that apply.) The change in distance between points. The fractional change in distance between points A. B.

Explanation / Answer

NOTE - I have used actual ruler to measure the distance between points by keeping the ruler on the screen itself. All measurements are in cm.

As we can see from the above data, Fractional change is more or less the same for all pairs of points.

Pair Original distance New distance Change in distance Fractional change (A,C) 2.8 4.4 1.6 0.58 (A,B) 2.5 4 1.5 0.6 (A,D) 3.4 5.4 2 0.59 (C,B) 3.7 5.9 2.2 0.595 (C,D) 3.1 5 1.9 0.61 (B,D) 1.7 2.7 1 0.59

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