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AP Physics 2
14.8 Double-Slit Interference and Diffraction Gratings
14.7 Diffraction
AdvancedMCQGraphicalMathematicalConceptual20.2k
A graph of relative intensity I/I_0 on the vertical axis versus position x on the horizontal axis. The horizontal axis has a central origin labeled 0, with tick marks spaced evenly at x_0, 2x_0, 3x_0, 4x_0 on the right and -x_0, -2x_0, -3x_0, -4x_0 on the left. A smooth curve displays a double-slit interference pattern modulated by a single-slit diffraction envelope. The central diffraction envelope spans from x = -4x_0 to x = +4x_0, dropping to zero intensity at x = -4x_0 and x = +4x_0. Inside this envelope, narrow interference peaks occur at x = 0 with relative intensity 1.0, x = \pm x_0 with relative intensity 0.85, x = \pm 2x_0 with relative intensity 0.50, and x = \pm 3x_0 with relative intensity 0.15. At x = \pm 4x_0, where an interference peak would otherwise appear, the intensity is exactly zero due to the envelope minimum. Outside x = \pm 4x_0, much smaller secondary envelopes appear with low-intensity peaks. No other labels, lines, text, or axes appear.
Relative intensity versus position on the screen for double-slit interference modulated by diffraction.
Coherent monochromatic light of wavelength \(\lambda\) is incident on two parallel slits, each of width \(a\), separated by center-to-center distance \(d\). The resulting intensity pattern on a screen far from the slits is shown in the graph of relative intensity \(I/I_0\) as a function of position \(x\). Based on the graph, what is the ratio \(d/a\) of the slit separation to the individual slit width?

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