RAJASTHAN ­ PET Rajasthan PET Solved Paper-2005

  • question_answer
    An electron and positron have the same rest mass of 0.51 MeV. Find the wavelength of \[\gamma \] rays produced due to their fusion

    A)  6.012\[\overset{o}{\mathop{\text{A}}}\,\]           

    B)  0.024\[\overset{o}{\mathop{\text{A}}}\,\]

    C)  0.012  to\[\overset{o}{\mathop{\text{A}}}\,\]      

    D)  0.024  to\[\overset{o}{\mathop{\text{A}}}\,\]

    Correct Answer: A

    Solution :

     \[\lambda =\frac{hc}{E}\] \[=\frac{6.6\times {{10}^{-34}}\times 3\times 1.8}{(0.51+0.51)\times {{10}^{6}}\times 1.6\times {{10}^{-19}}}\] \[=1.21\times {{10}^{-12}}m\] \[=0.012\overset{o}{\mathop{\text{A}}}\,\]


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