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Question

A light of wavelength λ is incident on an object of size b. If a screen is at a distance D from the object. Identify the correct condition for the observation of different phenomenon :
a) if b2=Dλ , Fresnel diffraction is observed
b) if b2>>Dλ, Fraunhoffer diffraction is observed
c) if b2<<Dλ, Fraunhoffer diffraction is observed
d) if b2=Dλ, Fraunhoffer diffraction is observed

A
a, b and d are true
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B
a,c and d are true
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C
a and c are true
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D
a and d are true
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Solution

The correct option is D a and c are true
Fresnel diffraction equation for the near - field diffraction , is an approximation of the kirchoff.
Fresnel diffraction that can be applied to the propagation of waves in the near field.
b2=Dλ
Fraunhofer diffraction equation is used to model the diffraction of waves when the diffraction pattern is viewed at a long distance from the diffracting object.
b2Dλ<<1

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