Respuesta :
To distinguish the individual holes, the minimum distance between the person and the tile is 29.8mm ≈30 mm.
What is wavelentgh?
Wavelength can be defined as the distances between 2 successively Crest or the throughs of any wave.
According to Rayleigh's criterion, the angular separation between two point sources is given as follows.
8 = 1.22A d
Here, λ = wave length,
d =circular aperture diameter.
Since the regular separatione is very small, the value of sine is nearby equal to e=㏑
Where D is the center-to-center distance between two point lights and L is the distance from the screen to the light source.
Substitute for e in the above equation 1.22A
8 =d
To obtain the expression for L as
D /L= 1.22A /d
Rearrange the mentioned equation for L as follows:
L = Dd d1.22A
Substitute 0.005m for D, 0.004m for d, and
550 × 10⁻⁹m for λ in the above equation
L = (Dd)/(1.22lambda) to obtain the values of L as follows:
L = ((0.005m)(0.004m))/(1.22(550 × 10 ⁻⁹ m))
L =29.8mm
Thus, the distance between the person from the tile distinguishes the individual holes.
(Rounding off to two significant figures) is 30 m.
To know more about wavelength click-
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