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Examine the equation: nλ=asinθ and assume that sin θ≈ θ. What is expected for the angular...

Examine the equation: nλ=asinθ and assume that sin θ≈ θ. What is expected for the angular deviation when the value of a is small compared with λ? What if a were large compared to λ?

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Answer #1

n = a sin is the condition for dark band in diffraction pattern formed by a single slit.

If is small then sin = and equation becomes

n = a where is angular deviation

Therefore angular deviation = (n) /a

If a is smaller than then angular deviation is more we can identify the diffraction pattern.

If a is greater than then angular deviation is very less and difficult to identify the diffraction pattern.

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