An alpha particle `(.^(4)He)` has a mass of 4.00300 amu. A proton has a mass of 1.00783 amu and a neutron has a mass of 1.00867 amu respectively. The binding energy of alpha particle estimated from these data is the closest to

Options

A. 27.9 MeV
B. 22.3 MeV
C. 35.0 MeV
D. 20.4 MeV

Answer

A

Explanation

`Delta m`= mass defect `=2 (m_(p) + m_(n)) - m_(He)= 0.0300` amu
`Delta E_(b)= Delta mc^(2)= 0.03 xx 931.5 MeV= 27.9 MeV`