JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Self Evaluation Test - Wave Optics

  • question_answer
    A certain region of a soap bubble reflects red light of wavelength \[\lambda =650nm\]. What is the minimum thickness that this region of the soap bubble could have? Take the index of reflection of the soap film to be 1.41.     

    A) \[1.2\times {{10}^{-7}}m\]

    B) \[650\times {{10}^{-9}}m\]

    C) \[120\times {{10}^{7}}m\]

    D) \[650\times {{10}^{5}}m\]

    Correct Answer: A

    Solution :

    [a]  There is air on both sides of the soap film. \[\therefore \] the reflections of the light produce a net \[180{}^\circ \]phase shift. The condition for bright fringes is \[2t=(m+{\scriptstyle{}^{1}/{}_{2}}){{\lambda }_{film}}\] \[t=\frac{(m+{\scriptstyle{}^{1}/{}_{2}}){{\lambda }_{film}}}{2}=\frac{(m+{\scriptstyle{}^{1}/{}_{2}})\lambda }{2n}\] \[=\frac{({\scriptstyle{}^{1}/{}_{2}})(650\times {{10}^{-9}}m)}{2(1.41)}=1.2\times {{10}^{-7}}m\]


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