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.) A. The change in distance between points. B. The fractional change in distance between points
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Two plates of same thickness, of coefficients of thermal conductivities $K_{1}$ and $K_{2}$ and areas of crosssection $A$ and $A_{2}$, are connected as shown; the common coefficient of thermal conductivity $K$ will be (a) $K_{1} A_{1}+K_{2} A_{2}$ (b) $\frac{K_{1} A_{1}+K_{2} A_{2}}{A_{1}+A_{2}}$ (c) $\frac{K_{1} A_{2}+K_{2} A_{1}}{A_{1}+A_{2}}$ (d) $\frac{K_{1} A_{1}}{K_{2} A_{2}}$
7. A copper plate has a length of 0.12 m and a width of 0.10 m at 25 °C. The plate is uniformly heated to 175 °C. If the linear expansion coefficient for copper is 1.7 x 10^-5/C°, what is the change in the area of the plate as a result of the increase in temperature? (a) 2.6 x 10^-5 m^2 (b) 6.1 x 10^-5 m^2 (c) 3.2 x 10^-6 m^2 (d) 4.9 x 10^-7 m^2 (e) 7.8 x 10^-7 m^2
Prabhu R.
Thermal expansion seems like a small effect, but it can engender tremendous, often damaging, forces. For example, steel has a linear expansion coefficient of $\alpha=1.2 \cdot 10^{-5}{ }^{\circ} \mathrm{C}^{-1}$ and a bulk modulus of $B=160$ GPa. Calculate the pressure engendered in steel by a $1.0^{\circ} \mathrm{C}$ temperature increase if no expansion is permitted.
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