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J & K CET Engineering J and K - CET Engineering Solved Paper-2005

  • question_answer
    If the binding energies of a deuteron and an alpha-particle are \[1.125\text{ }MeV\]and \[7.2\text{ }MeV,\] respectively, then the more stable of the two is

    A)  deuteron

    B)  alpha-particle          

    C)  both [a] and [b]

    D)  sometimes deuteron and sometimes alpha particle

    Correct Answer: B

    Solution :

    In order to compare the stability of the nuclei of different atoms, binding energy per nucleon is determined. Higher the binding energy per nucleon more stable is the nucleus. \[\therefore \]  BE per nucleon of deuteron \[=\frac{1.125}{2}\] \[=0.5625\text{ }MeV\] BE per nucleon of alpha particle \[=\frac{7.2}{4}\] \[=1.8\text{ }MeV\] Since, binding energy per nucleon of alpha particle is more, hence it is more stable.


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