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Questions  

In a single slit diffraction experiment first minimum for red light (660 nm) coincides with first maximum of some other wavelength λ'. The value of λ' is

a
4400Å
b
6600Å
c
2000Å
d
3500Å

detailed solution

Correct option is A

In a single slit diffraction experiment, position of minima is given by dsinθ=nλSo for first minima of red  sinθ=1×λRdand as first maxima is midway between first and second minima, for wavelength λ'its position will be dsinθ'=λ'+2λ'2⇒sinθ'=3λ'2dAccording to given condition sinθ=sinθ'⇒λ'=23λR so λ'=23×6600=440 nm =4400 Ao

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