A) \[\frac{2\pi }{{{n}_{1}}{{\lambda }_{1}}}({{n}_{3}}-{{n}_{2}})t\]
B) \[\frac{2\pi }{{{\lambda }_{1}}}({{n}_{3}}-{{n}_{2}})t\]
C) \[\frac{2\pi {{n}_{1}}}{{{n}_{2}}{{\lambda }_{1}}}\left( \frac{{{n}_{3}}}{{{n}_{2}}}-1 \right)t\]
D) \[\frac{2\pi {{n}_{1}}}{{{\lambda }_{1}}}({{n}_{3}}-{{n}_{2}})t\]
Correct Answer: A
Solution :
[a] Optical path difference between the waves \[=({{n}_{3}}-{{n}_{2}})t\] \[\therefore \] Phase difference \[=2\pi \frac{({{n}_{3}}-{{n}_{2}})t}{{{\lambda }_{(Vacuum)}}}=2\pi \frac{({{n}_{3}}-{{n}_{2}})t}{{{n}_{1}}{{\lambda }_{1}}}\]You need to login to perform this action.
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