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Question

Physics Question on Wave optics

Diameter of human eye lens is 2 mm. What will be the minimum distance between two points to resolve them, which are situated at a distance of 50 meter from eye.The wavelength of light is 5000 Å

A

2.32 m

B

4.28 mm

C

1.25 cm

D

12.48 cm

Answer

1.25 cm

Explanation

Solution

For the aparture, limit of resolution –

yDλd\frac{y}{D}\geq \frac{\lambda}{d} \Rightarrow$$y\geq\frac{\lambda D}{d}

\Rightarrow$$y \geq\frac{5\times10^{-3}}{2\times10^{-3}}\times50$$\geq1.25 cm.