Answer
The fundamental frequency would be $396~Hz$
Work Step by Step
(a) At a temperature of $0.0^{\circ}C$, the speed of sound in air is $331~m/s$. We can find the length of the pipe:
$\lambda = \frac{v}{f}$
$2L = \frac{v}{f}$
$L = \frac{v}{2f}$
$L = \frac{331~m/s}{(2)(382~Hz)}$
$L = 0.433~m$
At a temperature of $20.0^{\circ}C$, the speed of sound in air is $343~m/s$. We can find the fundamental frequency:
$f = \frac{v}{\lambda}$
$f = \frac{v}{2L}$
$f = \frac{343~m/s}{(2)(0.433~m)}$
$f = 396~Hz$
The fundamental frequency would be $396~Hz$.
