M_e and M_s denote the atomic masses of the parent and he daughter nuclei respectively in radioactive decay. The Q value for a beta^-1 decay is Q₁ and that for beta+ decay is Q₂.if m_e denotes the mass of an electron, then which of the following statements is correct?

(a) Q₁=(M_x-M_y)c² and Q₂=[M_x-M_y-2m_e]c²

(b) Q₁=(M_x-M_y)c² and Q₂=[M_x-M_y]c²

(c) Q₁=(M_x-M_y-2m_e)c² and Q₂=[M_x-M_y-2C_e]c²

(d) Q₁=(M_x-M_y +2m_e)c² and Q₂=[M_x-M_y+2m_e]c²

<p>This is a Multiple Choice Questions as classified in NCERT Exemplar</p><p><strong>Answer –a&nbsp;</strong></p><p><strong>Explanation- <span contenteditable="false"> <math> <mi>β</mi> </math> </span></strong>⁺ decay represents</p><p>_zX^{A<span contenteditable="false"> <math> <mo>→</mo> </math> </span>}_z-1Y^A+₁e^o+v+Q₂</p><p>Q₂= [m_n (_zX^A)-m_n (_z-1Y^A)-m_e]c²</p><p>= (M_x-M_y-2m_e)c²</p><p>^{<span contenteditable="false"> <math> <mi>β</mi> </math> </span>-}decay represents</p><p>_zX^{A<span contenteditable="false"> <math> <mo>→</mo> </math> </span>}_z+1Y^A+-₁e^o+v+<span contenteditable="false"> <math> <mo>∝</mo> </math> </span>₁</p><p>_{<span contenteditable="false"> <math> <mo>∝</mo> </math> </span>1}= [m_n (_zX^A)-m_n (_z+1Y^A)-m_e]c²</p><p>= (M_x-M_y)c²</p>

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