A thin slit illuminated by lightof frequency f produces its first dark band at +-38.2 in air. When theentire apparatus (slit, screen, and space in between) is immersed in anunknown transparent liquid, the slit’s first dark bands occur instead at+-21.6. Find the refractive index of the liquid.

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A thin slit illuminated by light
of frequency f produces its first dark band at +-38.2 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
+-21.6. Find the refractive index of the liquid.

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