The correct relation between limit of resolution and resolving power is

$A$ person is observing a bacteria through a compound microscope. For better analysis and to improve the resolving power,he should:

$A$ telescope uses light having a wavelength of $5000 \, \mathring{A}$ and lenses with focal lengths of $2.5 \, \text{cm}$ and $30 \, \text{cm}$. If the diameter of the aperture of the objective is $10 \, \text{cm}$,what are the resolving limit and the magnifying power of the telescope,respectively?

An electron microscope is superior to an optical microscope in

Two point white dots are $1 \ mm$ apart on a black paper. They are viewed by an eye with a pupil diameter of $3 \ mm$. Approximately,what is the maximum distance at which the dots can be resolved by the eye? (Take wavelength of light $= 500 \ nm$)

Explain the resolving power of optical instruments and explain the resolving power of telescopes.