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10th Class Science Light - Reflection and Refraction Question Bank Light

  • question_answer
    A container of depth H is filled with two immiscible transparent liquids of refraelive indices \[{{\mu }_{1}}\], and \[{{\mu }_{2}}\] respectively. The depth of each type of liquid is\[\frac{H}{2}\] . When viewed from above, the apparent depth of the vessel is

    A)  \[\frac{H}{2}\left[ \frac{1}{{{\mu }_{1}}}+\frac{{{\mu }_{1}}}{{{\mu }_{2}}} \right]\]          

    B)  \[\frac{H}{2}\left[ \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right]\]

    C)  \[H\left[ \frac{1}{{{\mu }_{1}}}+\frac{{{\mu }_{1}}}{{{\mu }_{2}}} \right]\]

    D)         \[\frac{H}{2}\left[ \frac{{{\mu }_{1}}{{\mu }_{2}}}{{{\mu }_{1}}+{{\mu }_{2}}} \right]\]

    Correct Answer: A

    Solution :

     Apparent depth of first liquid\[=\frac{H}{2{{\mu }_{1}}}\] Apparent depth of second liquid\[=\frac{H}{2({{\mu }_{1}}/{{\mu }_{2}})}\] \[\therefore \]Total apparent depth\[=\frac{H}{2{{\mu }_{1}}}\_\frac{H{{\mu }_{1}}}{2{{\mu }_{2}}}\]                                           \[=\frac{H}{2}\left[ \frac{1}{{{\mu }_{1}}}+\frac{{{\mu }_{1}}}{{{\mu }_{2}}} \right]\]


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