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8 November, 22:12

In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. What is the angular separation in radians between the central maximum and an adjacent maximum?

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  1. 8 November, 22:20
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    0.01 rad

    Explanation:

    For a double-slit experiment, we have that dsinθ = nλ. The separation between the central maximum and an adjacent maximum is when n = 1

    dsinθ = λ

    The angular separation θ = sin⁻¹ (λ/d)

    now d = 100λ

    θ = sin⁻¹ (λ/100λ) = sin⁻¹ (0.01) = 0.573°

    θ = 0.573° * π/180 = 0.01 rad
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