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कर्नाटक बोर्ड पी.यू.सी.पीयूसी विज्ञान 2nd PUC Class 12

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

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प्रश्न

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

संख्यात्मक
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उत्तर

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

`"Z"_"F" = "a"^2/lambda`

Where,

Aperture width, a = 4 mm = 4 ×10−3 m

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

`"Z"_"F" = (4 xx 10^(-3))^2/(400 xx 10^(-9))`

= 40 m

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

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अध्याय 10: Wave Optics - Exercise [पृष्ठ ३८३]

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एनसीईआरटी Physics Part I and II [English] Class 12
अध्याय 10 Wave Optics
Exercise | Q 10.10 | पृष्ठ ३८३

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