Answer
(a) $0.390m$
(b) decrease
(c) $0.318m$
Work Step by Step
(a) The smallest separation between the violinists can be determined as
$d=\frac{\lambda}{2}$
$\implies d=\frac{v}{2f}$
We plug in the known values to obtain:
$d=\frac{343}{2(440)}=0.390m$
(b) We know that the frequency is inversely proportional to the separation distance, hence a higher frequency leads to a minimum separation.
(c) As $d=\frac{\lambda}{2}$
$\implies d=\frac{v}{2f}$
We plug in the known values to obtain:
$d=\frac{343}{2(540)}=0.318m$
