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Two persons A and B wear glasses of opti...

Two persons A and B wear glasses of optical powers (in air) `P_1 = + 2 D` and `P_2 = + 1D` respectively. The glasses have refractive index 1.5. Now they jump into a swimming pool and look at each other. B appears to be present at distance 2m (f rom A) to A. A appears to be present at distance 1m (from B) to B. The refractive index of water in the swimming pool, in the form `(X)/(10)` and find X.

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To solve the problem, we need to find the refractive index of water in the swimming pool, given the optical powers of glasses worn by two persons A and B, and the distances at which they appear to each other when submerged in water. ### Step-by-Step Solution: 1. **Identify the Given Data:** - Optical power of A, \( P_1 = +2 \, D \) - Optical power of B, \( P_2 = +1 \, D \) - Refractive index of the glasses, \( n_{glass} = 1.5 \) ...
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