Mx and My denote the atomic masses of the parent and the daughter nuclei respectively in a radioactive decay. The Q-value for a β – decay is Q1 and that for a + decay is Q2. If me denotes the mass of an electron, then which of the following statements is correct?

Q- Value is the energy value that is either released or absorbed during a nuclear reaction. It is also a type of an energy conservation system which relates to the beginning and the ending of a nuclear process. The question asks us to find the Q-Value of positive and negative beta decay. Beta decay is a type of decay which only changes the atomic number of the element or the number of proton in a nucleus. The formula for Q-Value and beta decay is




where


Q is the Q-Value (energy absorbed or released) of the nuclear reaction, is the mass of the nucleus and is the mass of the electron, is the mass of the reactants of the mass of the material or substance before reaction, is the mass of the material or substance after reaction, X is the nucleus of an atom, A is the atomic mass, Z is the atomic number and C is the speed of light.


Therefore,


For, we get the Q-Value as






For, we get the Q-Value as






Hence, as we can see that the option (a) is the exact match of the solution given in the above reaction. Thereby, making it the correct option out of all the four.

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