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Question

# A vessel of depth x is half filled with oil of refractive index μ1 and the other half is filled with water of refractive index μ2. The apparent depth of the vessel when viewed from above is:

A
x(μ1+μ2)2μ1μ2
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B
xμ1μ22(μ1+μ2)
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C
xμ1μ2(μ1+μ2)
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D
2x(μ1+μ2)μ1μ2
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Solution

## The correct option is A x(μ1+μ2)2μ1μ2The relation between the real and apparent depth is:μ=Real DepthApparent lengthSo, apparent depth of the vessel when viewed from above isdapparent=x2u1+x2u2=x2(1μ1+1μ2)=x2(μ2+μ1μ1μ2)=(x(μ1+μ2)2μ1μ2)

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