Answer
$\Delta \lambda=56pm$
Work Step by Step
We know that:
$N=\frac{\lambda}{\Delta \lambda m}$
This can be rearranged as:
$\Delta \lambda=\frac{\lambda }{N m}$
We plug in the known values to obtain:
$\Delta \lambda=\frac{500 nm}{600\times 5.0(3)}=0.056nm=56pm$