In the following question x (an unstable nucleus) decays to another nucleus y. In column I different type of decay processes are mentioned. Atomic mass of element of nucleus x and element of nucleus y are Mx and My respectively. The atomic mass of He is MHe. The mass of electron is me. Now match the entries of column I with II. List - I List - II (Decay process) (Mass defect) (P) x → y + α (1) Mx – My – me (Q) x → y + –1e0 (2) Mx – My – MHe (R) x → y + +1e0 (3) Mx – My – 2me (s) x + –1e0 → y + ν +X-rays (4) Mx

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Mass Defect Q Value Binding Energy Stability of Nucleus and Nucleus and Nuclear Reactions

Question

In the following question x (an unstable nucleus) decays to another nucleus y. In column I different type of decay processes are mentioned. Atomic mass of element of nucleus x and element of nucleus y are M_x and M_y respectively. The atomic mass of He is M_He. The mass of electron is m_e. Now match the entries of column I with II.

List - I	List - II
(Decay process)	(Mass defect)
(P) x → y + α	(1) M_x – M_y – m_e
(Q) x → y + _–1e⁰	(2) M_x – M_y – M_He
(R) x → y + ₊₁e⁰	(3) M_x – M_y – 2m_e
(s) x + _–1e⁰ → y + ν +X-rays	(4) M_x – M_y

P → 4

Q → 2

R → 4

S → 2

P → 2

Q → 3

R → 1

S → 2

P → 2

Q → 1

R → 4

S → 3

P → 2

Q → 4

R → 3

S → 4

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Let m_x, m_y be nuclear masses of x and y

A. m_x – m_y – m_a = (M_x – zm_e )

– [M_y – (z – 2)m_e] – (M_He – 2m_e)

B. m_x – m_y – m_e = (M_x – zm_e)

– [M_y – (z + 1)m_e] – m_e = M_x – M_y

C. m_x – m_y – m_e = (M_x – zm_e)

– [M_y – (z – 1)m_e] – m_e = M_x – M_y – 2m_e

D. (m_e + m_x) – m_y = m_e + (M_x – zm_e)

– [M_y – (z – 1)m_e] = M_x – M_y (K-capture)