Question 10

 Estimate the distance for which ray optics is good approximation for an aperture of 4 mm and wavelength 400 nm.

Answer

Fresnel’s distance (Zf ) is the distance for which the ray optics is a good approximation. It is given by the relation, Zf = a2

Where,

Aperture width, a = 4 mm = 4 ×10 -3 m

Wavelength of light, λ = 400 nm = 400 × 10 -9 m

Zf = (4x10-3)2/400x10-9 = 40 m

Therefore, the distance for which the ray optics is a good approximation is 40 m.

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