Answer
(a) $55Hz$
(b) $3.1m$
Work Step by Step
(a) The fundamental frequency can be determined as:
$f_{n+1}=(n+1)f_1-nf_1$
We plug in the known values to obtain:
$f_1=495Hz-440Hz$
$f_1=55Hz$
(b) We know that
$f_1=\frac{v}{2L}$
This can be rearranged as:
$L=\frac{v}{2f_1}$
We plug in the known values to obtain:
$L=\frac{343}{2(55)}$
$L=3.1m$
