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RAJASTHAN ­ PET Rajasthan PET Solved Paper-2007

  • question_answer
    What is the Q-value of the reaction? \[P{{+}^{7}}Li{{\xrightarrow[{}]{{}}}^{4}}He{{+}^{4}}He\] The atomic masses of \[^{1}H,\,{{\,}^{4}}He\,\,and\,{{\,}^{7}}Li\]are 1.0078254U, 4.0026034U and 7.016004U respectively

    A)  17.35 MeV      

    B)  18.06 MeV

    C)  177.35 MeV     

    D)  170.35 MeV

    Correct Answer: A

    Solution :

     The total mass of the initial particles \[{{m}_{i}}=1.007825+7.016004\] \[=8.023829\text{ }u\] and the total mass of final particles \[{{m}_{f}}=2\times 4.002603\] \[=8.005206\text{ }u\] Difference between initial and final mass of particles \[\Delta m={{m}_{i}}-{{m}_{f}}=8.023829-8.005206\] \[=0.018623\text{ }u\] The Q-value is given by \[Q=(\Delta m){{c}^{2}}\] \[=0.018623\times 931.5\] \[=17.35MeV\]


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