I would like to select a narrow band of light with a grating, lens and pinhole setup. Since the grating’s resolving power is decided by the number of grooves illuminated by light, can it resolve anymore?

Unfortunately, the grating itself will not be able to resolve any more. The number of groves is divided by the size of the spot to determine the resolving power. You could use a higher groove/mm grating, or a larger spot size to increase the resolving power.

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