Wednesday, January 23, 2019

homework and exercises - Apparent depth and the viewing angle



Does the viewing angle of a person observing a coin placed in a bucket of water affect the apparent depth in any way?



Answer



Apparent depth of the object is given by the following equation,
$$AD=\frac{RD}{n_{ab}}$$
Where $AD$ is apparent depth, $RD$ is real depth, and $n_{ab}$ is the refractive index of medium b (denser medium) w.r.t medium a (rarer medium).


As real depth and refractive index is going to be constant always (for the given pair of medium), apparent depth will be independent of viewing angle.


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