JEE Main & Advanced Sample Paper JEE Main - Mock Test - 44

  • question_answer
    The minimum (threshold) KE of the proton to initiate the nuclear reaction \[p{{+}^{7}}Li{{\xrightarrow{{}}}^{7}}Be+n\] Given \[{{m}_{p}}=1.0073\text{ }amu;\text{ }{{m}_{Li}}=7.0144\text{ }amu,\] \[{{m}_{Be}}=7.0147\text{ }amu,\text{ }{{\text{m}}_{n}}=1.0087\text{ }amu.\]

    A) \[2\times {{10}^{-15}}J\]         

    B) \[4\times {{10}^{-14}}J\]

    C) \[2.5\times {{10}^{-13}}J\] 

    D) \[8\times {{10}^{-6}}J\]

    Correct Answer: C

    Solution :

    [c] Required energy \[=931.5\times {{10}^{6}}\times 1.6\times {{10}^{-19}}\] \[\left[ {{m}_{Be}}+{{m}_{n}}-{{m}_{p}}-{{m}_{Li}} \right]=2.5\times {{10}^{-13}}Joule\]   


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