Solveeit Logo
Login

Question

Physics Question on Wave optics

Calculate the limit of resolution of a telescope objective having a diameter of 200 cm200\, cm, if it has to detect light of wavelength 500 nm500\, nm coming from a star :

A

305×10−9305 \times 10^{-9} radian

B

152.5×10−9152.5 \times 10^{-9} radian

C

610×10−9610 \times 10^{-9} radian

D

457.5×10−9457.5 \times 10^{-9} radian

Answer

305×10−9305 \times 10^{-9} radian

Explanation

Solution

Limit of resolution of telescope = 1.22λD\frac{1.22 \lambda}{D}
θ=1.22×500×10−9200×10−2=305×10−9\theta = \frac{1.22 \times 500 \times 10^{-9}}{200 \times 10^{-2}} = 305 \times 10^{-9} radian