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AP Physics 2
14.8 Double-Slit Interference and Diffraction Gratings
13.3 Refraction
Multi-Unit
IntermediateMCQProportional AnalysisConceptual15.3k
A schematic cross-section of a double-slit experiment submerged inside a rectangular container of liquid. On the left, a horizontal beam of parallel light rays approaches an opaque vertical barrier from the left. The barrier contains two small slit openings separated by a vertical distance labeled d. To the right of the barrier at a horizontal distance labeled L stands a vertical screen. The entire space enclosing the barrier, the screen, and the region between them is surrounded by a container outline labeled with refractive index n. A dashed horizontal centerline extends from between the two slits to the center of the screen. No other labels, lines, text, or axes appear.
Double-slit apparatus submerged in a liquid with index of refraction n.
In an experiment conducted in air, a monochromatic laser beam with wavelength \(\lambda_0\) is incident on a barrier with two narrow slits separated by a distance \(d\), producing an interference pattern on a screen located a distance \(L\) away. The distance between adjacent bright fringes on the screen is measured to be \(\Delta y_0\). The entire apparatus is then submerged in a transparent liquid with an index of refraction \(n\) (where \(n > 1\)) while the frequency of the light emitted by the laser remains unchanged. Which of the following correctly identifies the new wavelength of light in the liquid, \(\lambda_{\text{liquid}}\), and the new distance between adjacent bright fringes on the screen, \(\Delta y_{\text{liquid}}\)?

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