Assertion : A famous painting was painted by | vedclass

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(A) We see two closely situated very small dots as separate when their angular separation for the viewer is more than that required by Rayleigh's crit

Vedclass · Accepted Answer

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

Vedclass · Answer

(A) We see two closely situated very small dots as separate when their angular separation for the viewer is more than that required by Rayleigh's criterion.$	heta_{R} = 1.22 \frac{\lambda}{d}$Here,$d$ is the diameter of the eye pupil and $\lambda$ is the wavelength of light. If the distance between two dots is $D$ and $L$ is the distance of the observer from the painting,then the angular separation is $	heta = \frac{D}{L}$.According to Rayleigh's criterion,the dots are resolved if $	heta \geq 1.22 \frac{\lambda}{d}$.Thus,$\frac{D}{L} \geq 1.22 \frac{\lambda}{d}$,which implies $L \leq \frac{D d}{1.22 \lambda}$.As the observer moves away from the painting (increasing $L$),the angular separation $	heta$ decreases. When $	heta$ becomes less than the resolution limit of the eye,the individual dots are no longer resolved and their colours blend together due to the eye's inability to distinguish them. Since different colours have different wavelengths $(\lambda)$,the distance at which they blend varies,causing the perceived colour at a specific point to change as the observer moves. Therefore,both the Assertion and the Reason are correct,and the Reason explains the phenomenon.

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