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Q.

Statement - I :A famous painting was painted by not using brush strokes in the usual manner, but rather a myriad of small colour dots. The colour you see it any given place on the painting, changes as you move away.
Statement - II :The angular separation of adjacent dots changes with the distance between them in the painting.

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a

Both statements I and II are correct

b

Statement-I is correct and statement-II is incorrect

c

Statement-I is incorrect and statement-II is correct

d

Both statements I and II are incorrect

answer is A.

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Detailed Solution

We see two closely situated very small dots separate when their angular separation for the viewer is more than that required by Rayleigh's criterion.

θr=1.22λd


Here, d is diameter of eye and A is wavelength of light seen. If distance between spot is D and L be the distance of observer from the painting then,
θ=DL,so 1.22λd=L
lf for red light having greater A, the value of L will be smalIer and for violet colour, this distance is larger. Ifwe move away from the painting, adjacent red dots become indistinguishable before adjacent blue dots do. So, to make two dots distinguishable we shall have to give distance of the observer (L) a minimum value. At a greater distance colours of adjacent dots blend together. In this way we can have different view of dots by looking at it from different distance (or changing L).

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