KVPY Sample Paper KVPY Stream-SX Model Paper-8

  • question_answer
    A wedged shaped air film having an angle of 40 second is illuminated by a monochromatic light and the fringes are observed vertically down through a microscope. The fringe separation between two consecutive bright fringes is 0.12 cm. The wavelength of light is:

    A) \[5545\,\overset{\text{o}}{\mathop{\text{A}}}\,\]            

    B) \[~6025\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    C) \[4925\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    D)                    \[4655\,\,\overset{\text{o}}{\mathop{\text{A}}}\,\]

    Correct Answer: D

    Solution :

    \[\beta =\frac{\lambda }{2\mu \tan \alpha }=\frac{\lambda }{2\mu \alpha }\]
    \[\therefore \lambda =\beta \times 2\mu \alpha \]\[=0.12\times {{10}^{-2}}\times 2\times 1\times \left( \frac{40}{60\times 60}\times \frac{\pi }{180} \right)\]
    \[~=4655\,\overset{\text{o}}{\mathop{\text{A}}}\,\]


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