Question

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

• A. $2.32m$
• B. $4.28mm$
• C. $1.25cm$
• D. $12.48cm$

Answer 1

The correct option is C $1.25cm$

Given,

$d=2mm=2\times {10}^{-3}m$

$D=50m$

$\lambda =5000\times {10}^{-10}m$

lets consider $x$ will be the minimum distance between two points at which lens is resolved.

The limit of resolution of eyeless is given by

$d\theta =\frac{\lambda }{d}=\frac{x}{D}$

$x=\frac{\lambda D}{d}$

$x=\frac{5000\times {10}^{-10}\times 50}{2\times {10}^{-3}}=1.25cm$

The correct option is C.