A basic model of a pendulum clock uses a mass at the end of a aluminum rod. You have designed the clock so that the pendulum reaches the bottom of its swing once per second in winter when room temperature is $20$C$.$

What be the period of this pendulum in the summer, when room temperature is $25$C$?$ The coefficient of linear expansion for aluminum is $=23\mathrm{.}6106$C$1.$

Checkbox options

$($a$)$

$2\mathrm{.}000118$ s

$($b$)$

$1\mathrm{.}999882$ s

$($c$)$

$2\mathrm{.}000059$ s

$($d$)$

$1\mathrm{.}999941$ s

$($e$)$

$1\mathrm{.}9782744$ s