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A spherical shaped fish bowl filled with...

A spherical shaped fish bowl filled with water of refractive index 1.3 is placed in another large tank filled with another liquid of refractive index 1.4 such that rim of the fish bowl is slightly above the liquid filled in the tank. The diameter of the fish bowl is 20 cm. A parallel light rays from a distant object is incident on the spherical fish bowl. Find the position at which incident light rays will get focused when seen by a small fish at the centre of the bowl.

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To solve the problem, we need to determine where the parallel light rays from a distant object will focus when they pass through the spherical fish bowl filled with water. We will use the lens maker's formula adapted for refraction at spherical surfaces. ### Step-by-Step Solution: 1. **Identify the Given Values:** - Refractive index of the liquid outside the fish bowl (μ1) = 1.4 - Refractive index of the water in the fish bowl (μ2) = 1.3 - Diameter of the fish bowl = 20 cm, hence the radius (R) = 10 cm. ...
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