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JEE Main & Advanced Physics Mathematical Tools, Units & Dimensions Question Bank Mock Test - Units Dimenstions and Measurment

  • question_answer
    Suppose refractive index \[\mu \] is given as\[\mu =A+\frac{B}{\lambda _{{}}^{2}}\] where A and B are constants and \[\lambda \] is wavelength, then dimensions of B are same as that of

    A) Wavelength       

    B) Volume

    C) Pressure

    D) Area

    Correct Answer: D

    Solution :

    [d] As \[\mu =\frac{Velocity\,of\,light\,in\,vaccum}{Velocity\,of\,light\,in\,medium}\], hence \[\mu \] is dimensionless. Thus, each term on the RHS of given equation should be dimensionless, i.e., \[B/{{\lambda }^{2}}\]is dimensionless, i.e., B should have dimension of \[{{\lambda }^{2}}\], i.e., \[c{{m}^{2}}\], i.e., area.


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