JIPMER Jipmer Medical Solved Paper-2003

  • question_answer
    Light of wavelength \[6000\,\overset{\text{o}}{\mathop{\text{A}}}\,\] is reflected at nearly normal incidence from a soap film of refractive index 1.4. The least thickness of the film that will appear black is:

    A)  \[200\,\overset{\text{o}}{\mathop{\text{A}}}\,\]          

    B)         \[2000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]        

    C)         \[1000\,\overset{\text{o}}{\mathop{\text{A}}}\,\]       

    D)         infinity

    Correct Answer: B

    Solution :

    For minimum in reflected light \[2\mu t\cos r=n\lambda \] \[t=\frac{n\lambda }{2\mu \cos \,\,r}\] \[{{t}_{\min }}=\frac{\lambda }{2\mu }=\frac{6000\,\overset{\text{o}}{\mathop{\text{A}}}\,}{2\times 1.14}\]        \[=2142\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\approx 2000\overset{\text{o}}{\mathop{\text{A}}}\,\]


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