Physics

Problem

A brass pendulum clock is calibrated to be accurate at

20^{\circ}\text{C}

. On a hot summer day, the temperature rises to

40^{\circ}\text{C}

. If the coefficient of linear expansion for brass is

\alpha = 2.0 \times 10^{-5}\,^{\circ}\text{C}^{-1}

, calculate the fractional change in the time period

(\Delta T / T)