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Physics Question on Wave optics

Diameter of the objective lens of a telescope is 250 cm250\, cm. For light of wavelength 600 nm600\,nm. coming from a distant object, the limit of resolution of the telescope is close to :

A

1.5×10−7  rad1.5 \times 10^{-7} \; rad

B

2.0×10−7  rad2.0 \times 10^{-7} \; rad

C

3.0×10−7  rad3.0 \times 10^{-7} \; rad

D

4.5×10−7  rad4.5 \times 10^{-7} \; rad

Answer

3.0×10−7  rad3.0 \times 10^{-7} \; rad

Explanation

Solution

Limit of resolution =1.22λd= \frac{1.22\lambda}{d}
=1.22×600×10−9250×10−2= \frac{1.22 \times600 \times 10^{-9}}{250 \times10^{-2} }
=2.9×10−7rad= 2.9 \times10^{-7} \text{rad}