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If the linear size of the central maximum is given by Y = 2Dλ/a, determine the value of θ.

1. θ = λ/a
2. θ = λ/2a
3. θ = λ/3a
4. θ = λ/4a

Correct answer: θ = λ/2a

Solution

The given formula for the linear width of the central maxima is Y = 2Dθ. Substituting θ = λ/a into this equation gives Y = 2D(λ/a), which matches the given expression. Therefore, θ = λ/2a.

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