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A thin slit illuminated by light of frequency f produces its first dark band at 41.0 in air.

A thin slit illuminated by light of frequency f produces its first dark band at ±41.0° in air. When the entire apparatus (slit, screen, and space in between) is immersed in an unknown transparent liquid, the slit's first dark bands occur instead at ±17.2°. Find the refractive index of the liquid.

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