A) \[{{\mu }_{1}}{{d}_{1}}+{{\mu }_{2}}{{d}_{2}}\]
B) \[{{\mu }_{1}}{{d}_{2}}+{{\mu }_{2}}{{d}_{1}}\]
C) \[\frac{{{d}_{1}}{{d}_{2}}}{{{\mu }_{1}}{{\mu }_{2}}}\]
D) \[\frac{{{d}_{1}}+{{d}_{2}}}{{{\mu }_{1}}{{\mu }_{2}}}\]
Correct Answer: A
Solution :
Optical path = \[\mu \,t\] In medium (1), optical path = \[{{\mu }_{1}}{{d}_{1}}\] In medium (2), optical path = \[{{\mu }_{2}}{{d}_{2}}\] \[\therefore \] Total path = \[{{\mu }_{1}}{{d}_{1}}+{{\mu }_{2}}{{d}_{2}}\]
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