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A white light is used to study single-slit diffraction pattern. For what $\lambda$ of light does the $2^{nd}$ minimum coincide with the $3^{rd}$ minimum for 4000 $\mathring{A}$ line?

Subject: Applied Physics 2

Topic: Interference And Diffraction

Difficulty: Medium

1 Answer
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Condition for minima in single slit: a sinθ = nλ

For second minimum: a sinθ = 2 λ$_1$

For third minimum: a sinθ = 3 λ$_2$

λ$_2$ = 4000 AU

2 λ$_1$ = 3 λ$_2$

λ$_1$ = 6000AU

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