An Aluminum Rod Is $20.0 \mathrm{~cm}$ In Length, Has a Diameter Of

An aluminum rod is $20.0 \mathrm{~cm}$ in length, has a diameter of $10.0 \mathrm{~mm}$ and is at a temperature of $20^{\circ} \mathrm{C}$ . The coefficient of linear expansion of aluminum is $23.0 \times 10^{-6} /{ }^{\circ} \mathrm{C}$ . If the temperature changes to $50^{\circ} \mathrm{C}$ , then the increase in diameter of the aluminum rod is

A) $5.6 \times 10^{-3} \mathrm{~mm}$
B) $6.0 \times 10^{-3} \mathrm{~mm}$ .
C) $4.9 \times 10^{-3} \mathrm{~mm}$
D) $4.0 \times 10^{-3} \mathrm{~mm}$ .
E) $6.9 \times 10^{-3} \mathrm{~mm}$