Optics Question 112

Question: Two point white dots are 1mm apart on a black paper. They are viewed by eye of pupil diameter 3 mm. Approximately, what is the maximum distance at which dots can be resolved by the eye ?

[Take wavelength of light = 500 nm] [AIEEE 2005]

Options:

A) 6 m

B) 3 m

C) 5 m

D) 1 m

Show Answer

Answer:

Correct Answer: C

Solution:

$ \frac{1.22\lambda }{a}=\frac{x}{d}\Rightarrow d=\frac{x\times a}{1.22\lambda } $

$ =\frac{1\times {{10}^{-3}}\times 3\times {{10}^{-3}}}{1.22\times 500\times {{10}^{-9}}} $ = 5m



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