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\[=\frac{H}{2{{\mu }_{1}}}\_\frac{H{{\mu }_{1}}}{2{{\mu }_{2}}}\] \[=\frac{H}{2}\left[ \frac{1}{{{\mu }_{1}}}+\frac{{{\mu }_{1}}}{{{\mu }_{2}}} \right]\]You need to login to perform this action.
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