WB JEE Medical WB JEE Medical Solved Paper-2009

  • question_answer
    A beam of monochromatic blue light of wavelength \[\text{4200}\,\overset{\text{o}}{\mathop{\text{A}}}\,\] in air travels in water of refractive index 4/3. Its wavelength in water will be

    A) \[4200\,\overset{\text{o}}{\mathop{\text{A}}}\,\]                         

    B) \[5800\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[4150\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D) \[3150\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

                     Wavelengh \[\lambda \propto \frac{1}{\mu }\] \[\therefore \]  \[\frac{{{\lambda }_{2}}}{{{\lambda }_{1}}}=\frac{{{\mu }_{1}}}{{{\mu }_{2}}}=\frac{3}{4}\]                          \[\left( \because \,{{\,}_{1}}{{\mu }_{2}}=\frac{4}{3} \right)\] or \[{{\lambda }_{2}}=\frac{3}{4}{{\lambda }_{1}}=\frac{3}{4}\times 4200=3150\overset{\text{o}}{\mathop{\text{A}}}\,\]


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