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NEET NEET SOLVED PAPER 2013

  • question_answer
    The value of Plancks constant is \[\text{6}\text{.63 }\!\!\times\!\!\text{ 1}{{\text{0}}^{\text{-34}}}\text{Js}\text{.}\] The speed of light is \[\text{3 }\!\!\times\!\!\text{ 1}{{\text{0}}^{17}}\text{nm}{{\text{s}}^{\text{-1}}}\text{.}\]Which value is closest to the wavelength in nanometer of a quantum of light with frequency of \[\text{6 }\!\!\times\!\!\text{ 1}{{\text{0}}^{15}}{{\text{s}}^{\text{-1}}}?\]

    A) 10

    B) 25

    C) 50

    D)  75

    Correct Answer: C

    Solution :

    Given, Plancks constant, \[h=6.63\times {{10}^{-34}}\text{J-s}\] 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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