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NEET Chemistry Structure of Atom / परमाणु संरचना NEET PYQ-Structure of Atom

  • question_answer
    The value of Planck's constant is \[6.63\times {{10}^{-34}}Js\]. The speed of light is \[3\times {{10}^{17}}nm{{s}^{-1}}\]. Which value is closest to the wavelength in nanometer of a quantum of light with frequency of \[6\times {{10}^{15}}{{s}^{-1}}\]?                                                                                       [NEET 2013]

    A)  10                               

    B)  25                   

    C)  50                   

    D)  75

    Correct Answer: C

    Solution :

    Given, Planck’s constant,
    \[h=6.63\times {{10}^{-34}}J-s\]
    Speed of light, \[c=3\times {{10}^{17}}nm\,{{s}^{-1}}\]
    Frequency of quanta
                            \[v=6\times {{10}^{15}}{{s}^{-1}}\]
    Wavelength,       \[\lambda =?\]
    We know that,    \[v=\frac{c}{\lambda }\]
    or                     \[\lambda =\frac{c}{v}\]
                            \[=\frac{3\times {{10}^{17}}}{6\times {{10}^{15}}}\]
                            \[=0.5\times {{10}^{2}}\,nm\]
                            \[=50\,nm\]


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