Consider two nuclei of the same radioactive nuclide. One of the nuclei was created in a supernova explosion $5$ billion years ago. The other was created in a nuclear reactor $5$ minutes ago. The probability of decay during the next time is

  • A

    Different for each nuclei

  • B

    Nuclei created in explosion decays first

  • C

    Nuclei created in the reactor decays first

  • D

    Independent of the time of creation

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  • [IIT 1998]

A certain radioactive nuclide of mass number $m_x$ disintegrates, with the emission of an electron and $\gamma$ radiation only, to give second nuclied of mass number $m_y.$ Which one of the following equation correctly relates $m_x$ and $m_y$ ?