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Question

The length of a vertical stick at the surface of the lake appears 12cm to a fish under water. If refractive index of water is 4/3 then actual length of stick above water is

A
16cm
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B
9cm
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C
12cm
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D
3cm
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Solution

The correct option is B 9cm
Apparent Depth orHeight=Actual Depth or heightRefractive index of medium 1 w.r.t 2Height in the given case is going fromair to waterMedium 1 - airMedium 2 - waterApparent length=actual lengthnawnaw=nanw=1nwApparent length=Actual lengthnawApparent Length=Actual length1nwApparent length=actual length × nw12=l× 43l=12×34l=9cm

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