A vessel of depth 2d cm is half filled with a liquid of refractive index $${{\mu }_{1}}$$ and the upper half with a liquid of refractive index $${{\mu }_{2}}$$. The apparent depth of the vessel seen perpendicularly is [SCRA 1994]

Question

A vessel of depth 2d cm is half filled with a liquid of refractive index $${{\mu }_{1}}$$ and the upper half with a liquid of refractive index $${{\mu }_{2}}$$. The apparent depth of the vessel seen perpendicularly is                                         [SCRA 1994]

TuteeHUB · Accepted Answer

$$2d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)$$

TuteeHUB · Answer

$$d\,\left( \frac{{{\mu }_{1}}{{\mu }_{2}}}{{{\mu }_{1}}+{{\mu }_{2}}} \right)$$

TuteeHUB · Answer

$$d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)$$

TuteeHUB · Answer

$$2d\,\left( \frac{1}{{{\mu }_{1}}{{\mu }_{2}}} \right)$$

1.	A vessel of depth 2d cm is half filled with a liquid of refractive index \[{{\mu }_{1}}\] and the upper half with a liquid of refractive index \[{{\mu }_{2}}\]. The apparent depth of the vessel seen perpendicularly is [SCRA 1994]
A.	\[d\,\left( \frac{{{\mu }_{1}}{{\mu }_{2}}}{{{\mu }_{1}}+{{\mu }_{2}}} \right)\]
B.	\[d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)\]
C.	\[2d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)\]
D.	\[2d\,\left( \frac{1}{{{\mu }_{1}}{{\mu }_{2}}} \right)\]
Answer» C. \[2d\,\left( \frac{1}{{{\mu }_{1}}}+\frac{1}{{{\mu }_{2}}} \right)\]

A vessel of depth 2d cm is half filled with a liquid of refractive index \[{{\mu }_{1}}\] and the upper half with a liquid of refractive index \[{{\mu }_{2}}\]. The apparent depth of the vessel seen perpendicularly is [SCRA 1994]

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