For monochromatic light incident on a transmission grating

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics

Problem

For monochromatic light incident on a transmission grating, constructive interference occurs whenever the path difference between adjacent slits equals an integer multiple of the wavelength. Which of the following equations correctly relates the order number mm, the wavelength λ\lambda, the grating spacing dd, and the diffraction angle θ\theta? (a) mλ=2dsin⁡θm\lambda = 2d\sin\theta (b) mλ=dtan⁡θm\lambda = d\tan\theta (c) mλ=dsin⁡θm\lambda = d\sin\theta (d) mλ=dsin⁡θm\lambda = \dfrac{d}{\sin\theta}

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