Calculate the separation of two points on moon that can be resolved using 600 cm telescope. Given distance of moon from earth = $3.8 × 10^{10}cm$. The wavelength most sensitive to eye is $5.5 × 10^{-5}cm$.

4180 cm

The correct answer is Option (1) → 4180 cm

Using Rayleigh criterion,

Angular resolution, $θ=\frac{1.22λ}{D}=\frac{1.22×5.5×10^{-5}}{600}$

$=1.12×10^{-7}$ radians

linear seperation, s = θ × Distance of the moon

$=(1.12×10^{-7})×(3.8×10^{10})$

$≃4180cm$