Calculate binding energy of an alpha particle from the following data: Mass of free proton =1.007825 a.m.u Mass of free neutron =1.008665 a.m.u Mass of helium nucleus =4.002800 a.m.u 1 a ⋅ m ⋅ u =931.5 Mev

Question

Calculate binding energy of an alpha particle from the following data: Mass of free proton =1.007825 a.m.u Mass of free neutron =1.008665 a.m.u Mass of helium nucleus =4.002800 a.m.u 1 a ⋅ m ⋅ u =931.5 Mev (A) 28.5 Mev (B) 28.3 Mev (C) 28.1 Mev (D) 28.7 Mev

Tardigrade Admin · Accepted Answer

Δ m =2 × 1.007825+2 × 1.008665-4.002800 =4.03298-4.002800 =0.03018 amu Binding energy =Δ m × 931.5 Mev =0.03018 × 931.5=28.1 Mev

Q. Calculate binding energy of an alpha particle from the following data:

Mass of free proton $= 1.007825$ a.m.u

Mass of free neutron $= 1.008665$ a.m.u

Mass of helium nucleus $= 4.002800$ a.m.u

$1 a \cdot m \cdot u = 931.5 M e v$

28.5 Mev

28.3 Mev

28.1 Mev

28.7 Mev

$Δ m = 2 \times 1.007825 + 2 \times 1.008665 - 4.002800$
$= 4.03298 - 4.002800$
$= 0.03018 am u$
Binding energy $= Δ m \times 931.5 M e v$
$= 0.03018 \times 931.5 = 28.1 M e v$

Q. Calculate binding energy of an alpha particle from the following data: Mass of free proton =1.007825 a.m.u Mass of free neutron =1.008665 a.m.u Mass of helium nucleus =4.002800 a.m.u 1a⋅m⋅u=931.5Mev