An experimental setup consists of two deep tanks, each of width L, separated by a thin,...

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An experimental setup consists of two deep tanks, each of width L, separated by a thin, transparent membrane, as shown in the figure below. The left tank is filled with a transparent liquid with refractive index 7₁, and the right tank with a transparent liquid with refractive index n₂. The membrane has refractive index 7₁. Assume that the refractive index of air is 1, and 1 <m₂ <m₁. A gold ring is dropped in the right pool (with refractive index n₂), near the membrane, and drops straight down. An observer, at height h above the left edge of the experimental setup, watches the ring drop. The dashed line in the figure indicates the path of a light ray from the ring to the observer, with lengths and angles indicated. h observer W 00 n₁ L d ring 1₂ L surface At a certain apparent depth, the ring will appear to the observer to stop descending. At what apparent depth does this happen? [9] An experimental setup consists of two deep tanks, each of width L, separated by a thin, transparent membrane, as shown in the figure below. The left tank is filled with a transparent liquid with refractive index 7₁, and the right tank with a transparent liquid with refractive index n₂. The membrane has refractive index 7₁. Assume that the refractive index of air is 1, and 1 <m₂ <m₁. A gold ring is dropped in the right pool (with refractive index n₂), near the membrane, and drops straight down. An observer, at height h above the left edge of the experimental setup, watches the ring drop. The dashed line in the figure indicates the path of a light ray from the ring to the observer, with lengths and angles indicated. h observer W 00 n₁ L d ring 1₂ L surface At a certain apparent depth, the ring will appear to the observer to stop descending. At what apparent depth does this happen? [9]

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Let the apparent depth be d Then the real depth of the ... View the full answer