JEE Main & Advanced Physics Wave Optics / तरंग प्रकाशिकी Question Bank Polarisation of Light

  • question_answer
    In the visible region of the spectrum the rotation of the place of polarization is given by \[\theta =a+\frac{b}{{{\lambda }^{2}}}\]. The optical rotation produced by a particular material is found to be 30° per mm at \[\lambda =5000\]Å and 50° per mm at \[\lambda =4000\text{{ }\!\!\mathrm{\AA}\!\!\text{ }}\]. The value of constant a will be    

    A)            \[+\frac{50{}^\circ }{9}\]per mm                                     

    B)            \[-\frac{50{}^\circ }{9}\]per mm

    C)            \[+\frac{9{}^\circ }{50}\]per mm                                     

    D)            \[-\frac{9{}^\circ }{50}\]per mm

    Correct Answer: B

    Solution :

                       \[\theta =a+\frac{b}{{{\lambda }^{2}}}\] \[30=a+\frac{b}{{{(5000)}^{2}}}\] and \[50=a+\frac{b}{{{(4000)}^{2}}}\] Solving for a, we get \[a=-\frac{50{}^\circ }{9}\,per\,mm\]


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