A certain space$-$based telescope can achieve $($diffraction$-$limited$)$ angular resolution of ${0\mathrm{.}05}^{\text{'}\text{'}}$ for red light $($of wavelength $700$ nm $).$ What would its resolution be in the ultraviolet, at $140$ nm $?$

$0\mathrm{.}022$

$0\mathrm{.}14$

$0\mathrm{.}01$

$0\mathrm{.}25$