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A tank filled with a liquid to a height ...

A tank filled with a liquid to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 10 cm. If water is replaced by water of refractive index 1.66 up to the same height, by what distance (in mm) would the microscope have to be moved to focus on the needle again?

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To solve the problem, we need to find out how much the microscope needs to be moved to focus on the needle again after the liquid in the tank is replaced with another liquid of a different refractive index. ### Step-by-Step Solution: 1. **Identify Given Values:** - Height of the liquid in the tank, \( h = 12.5 \) cm - Apparent depth of the needle in the first liquid, \( h_{apparent1} = 10 \) cm - Refractive index of the new liquid, \( \mu = 1.66 \) ...
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