Question

The masses of $\alpha$ -particle, proton and neutron are $4.00150$ amu, $1.00728$ amu and $1.00867$ amu respectively. Binding Energy per nucleon of $\alpha$ -particle is :

• A. $283J$
• B. $931.5MeV$
• C. $28.3MeV$
• D. $7.08MeV$

Answer 1

Answer: (D)

$7.08MeV$

$2$ proton, $2$ neutron

$\Delta m=[2\times 1.00728+2\times 1.00867-4.00150]amu$
$=0.0304amu$

$BE=0.0304\times 931.478MeV$
$=28.32MeV$

Average $BE=\frac{28.32}{4}=7.08MeV$