38. Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is :

38. Assume that light of wavelength 600 nm is coming from a star. The limit of resolution of telescope whose objective has a diameter of 2 m is :

(a) \(1.83 \times 10^{-7} \text{ rad}\)

(b) \(7.32 \times 10^{-7} \text{ rad}\)

(c) \(6.00 \times 10^{-7} \text{ rad}\)

(d) \(3.66 \times 10^{-7} \text{ rad}\)

Answer :  (d) \(3.66 \times 10^{-7} \text{ rad}\)

\(R_L = 1.22 \frac{\lambda}{a}\)

\(= 1.22 \cdot \frac{600 \times 10^{-9}}{2}\)

\(= 3.66 \times 10^{-7} \text{ rad}\)