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Obtain the relation between the real depth and apparent depth of bottom of tank filled with water when observed from air. |
Answer» Solution :As shown in figure, the bottom of tank is at `h_2` DEPTH in denser MEDIUM (water) of refractive index `n_2=n`. When the bottom is viewed normally, it is observed at O. instead of O as shown in figure (a). When it is viewed at some ANGLE from normal, it is observed at O. as shown in figure (b). Real depth is `h_2` and APPARENT depth is `h_1`. `therefore ("refractive index of air "n_1)/("refractive index of denser medium "n_2)` `therefore 1/n = h_1/h_2 [therefore "For air "n_1=1]` `therefore n=h_2/h_1=("real depth")/("apparent depth")` `therefore` Apparent depth `h_1=("real depth "h_2)/("refractive index of denser medium n")` REMEMBER : `("n(denser)")/("n(rarer)")=("apparent depth")/("real depth")` |
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