Calculating Apparent Depth: Air vs Water

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The discussion confirms that the formula for calculating apparent depth, given by Apparent Depth = Actual Depth x (n air / n water), is valid for determining how objects appear closer in water. This relationship is derived from Snell's Law and the small angle approximation. Participants agree that using this formula simplifies the calculation without needing to find the angle of refraction. The method is applicable specifically to scenarios involving light transitioning between air and water. Overall, the formula effectively captures the phenomenon of apparent depth in such contexts.
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Homework Statement


Instead of calculating apparent depth (for example, a penny in a glass of water appears to be closer to the surface than it actually is), instead of finding the angle of refraction and using snell's law, can I use the following:

Apparent Depth = Actual Depth x (n air / n water)
?
 
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Yes, that relationship will work for this situation. It comes ultimately from applying Snell's Law and the small angle approximation to the given problem.
 
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