NEET Sample Paper NEET Sample Test Paper-79

  • question_answer
    If the momentum of a photon of an electromagnetic radiation is \[3.3\,\,\times \,\,1{{0}^{-\,29}} kg m/s\], then the frequency of associated wave is \[\left[ h=6.6\times 1{{0}^{-\,34}} Js\,;\,\,c=3\times 1{{0}^{8}} m/s \right]\]

    A)  \[1.2\,\,\times \,\,1{{0}^{20}} Hz\]       

    B)  \[2.4\,\,\times \,\,1{{0}^{20}} Hz\]

    C)  \[2.4\,\,\times \,\,1{{0}^{10}} Hz\]       

    D)  None of these

    Correct Answer: B

    Solution :

    As, momentum of photon \[p=\frac{h\nu }{c}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{c}{\nu }=\frac{h}{p}\] Also           \[\frac{c}{\nu }=\lambda \] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\frac{h}{p}=\lambda \] Now,     \[v=\frac{c}{\lambda }=\frac{cp}{h}\] \[=\,\,3\times {{10}^{8}}\times \frac{3.3\times {{10}^{-\,29}}}{6.6\times {{10}^{-\,34}}}\] \[1.5\times {{10}^{13}}\,Hz\]


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