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Uttarakhand PMT Uttarakhand PMT Solved Paper-2007

  • question_answer
    A vessel is half-filled with a liquid of refractive index \[\mu \]. The other half of the vessel is filled with an immiscible liquid of refractive index 1.5\[\mu \]. The apparent depth of the vessel is 50% of the actual depth. Then \[\mu \] is

    A)  1.4            

    B)  1.5

    C)  1.6            

    D)  1.67

    Correct Answer: D

    Solution :

     Let d be the depth of two liquids Apparent depth, \[\frac{d}{2\mu }+\frac{d}{2(1.5\mu )}=\frac{d}{2}\] Or \[\frac{1}{\mu }+\frac{2}{3\mu }=1\] \[\Rightarrow \] \[\frac{3+2}{3\mu }=1\] \[\therefore \] \[\mu =\frac{5}{3}=1.67\]


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