Answer
$650nm$
Work Step by Step
Given there are of two identical monochromatic point sources.
Minimum angle of resolution of their diffraction patterns $\theta_{min}=0.0065 rad$
Slit width w = $0.10mm$
$\theta_{min}=\frac{wavelength}{w}$
Therefore, $wavelength = \theta_{min}\times w=0.0065\times 0.1\times 10^{-3}=650\times10^{-9}m=650nm$