Answer
The length of the pipe is $0.433~m$
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:
$\lambda = \frac{v}{f}$
$2L = \frac{v}{f}$
$L = \frac{v}{2f}$
$L = \frac{331~m/s}{(2)(382~Hz)}$
$L = 0.433~m$
The length of the pipe is $0.433~m$