Roman Space Telescope resolution A-level challenge

The Roman Space Telescope has a primary mirror of diameter $2.4\mathrm{m}$. Consider an observation using infrared radiation of wavelength $1.0\mu \mathrm{m}$. Calculate the minimum angular separation that the telescope can resolve. Use $\theta =\lambda /D$.

Hubble also has a primary mirror of diameter $2.4\mathrm{m}$. At the same infrared wavelength, Roman has a field of view with at least 100 times the area of Hubble's field of view. Compare the diffraction-limited angular resolution and collecting power of the two telescopes, and state one advantage of Roman's wider field of view.

Earth's atmosphere absorbs some infrared wavelengths and also emits infrared radiation. Explain how placing Roman in space helps it measure a faint infrared source.