JEE Main & Advanced Chemistry Structure of Atom Question Bank Critical Thinking

  • question_answer The frequency of a wave of light is \[12\times {{10}^{14}}{{s}^{-1}}.\] The wave number associated with this light is         [Pb. PMT 1999]

    A)                 \[5\times {{10}^{-7}}m\]              

    B)                 \[4\times {{10}^{-8}}c{{m}^{-1}}\]

    C)                 \[2\times {{10}^{-7}}{{m}^{-1}}\]             

    D)                 \[4\times {{10}^{4}}c{{m}^{-1}}\]

    Correct Answer: D

    Solution :

                    Frequency \[\nu =12\times {{10}^{14}}{{s}^{-1}}\] and velocity of light \[c=3\times {{10}^{10}}cm\,{{s}^{-1}}\]. We know that the wave number \[\overline{\nu }=\frac{v}{c}=\frac{12\times {{10}^{14}}}{3\times {{10}^{10}}}=4\times {{10}^{4}}c{{m}^{-1}}\]

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