Calculate the binding energy of an alpha particle given its mass to be

1.	Calculate the binding energy of an alpha particle given its mass to be 4.00151 u.
Answer» Data : M = 4.00151 u, = 1.00728 u, m_n = 1.00866 u, 1 u = 931.5 MeV/c² The binding energy of an alpha particle (Zm_p+ N_n - M)c² =(2m_p+ 2m_n - M)c² = [(2)(1.00728u) + 2(1.00866 u) – 4.00151 u]c² = (2.01456 + 2.01732 – 4.00151)(931.5) MeV = 28.289655 MeV = 28.289655 × 10⁶ eV × 1.602 × 10^-19 J = 4.532002731 × 10^-12 J

Calculate the binding energy of an alpha particle given its mass to be 4.00151 u.

Answer»

Data : M = 4.00151 u, = 1.00728 u,

m_n = 1.00866 u, 1 u = 931.5 MeV/c²

The binding energy of an alpha particle

(Zm_p+ N_n - M)c²

=(2m_p+ 2m_n - M)c²

= [(2)(1.00728u) + 2(1.00866 u) – 4.00151 u]c²

= (2.01456 + 2.01732 – 4.00151)(931.5) MeV

= 28.289655 MeV

= 28.289655 × 10⁶ eV × 1.602 × 10^-19 J

= 4.532002731 × 10^-12 J