The light of wavelength 600 nm is coming from a star. What is the limit of resolution of a telescope whose objective has a diameter of 2.54 m?

$2.9 × 10^{-7} rad$

The correct answer is Option (4) → $2.9 × 10^{-7} rad$

The limit of resolution (θ) of a telescope is given by Rayleigh criterion -

$θ=\frac{1.22λ}{D}$

where,

Wavelength, $λ=600 nm=600×10^{−9} m$

Diameter of telescope object lens, $D=2.54 m$

$θ=\frac{1.22×600×10^{−9}}{2.54}$

$≃2.9 × 10^{-7} rad$