Question

Calculate the nuclear binding energies, in j/nucleon, for the following species: 10b (10.0129 amu) 11b (11.00931 amu) 14n (14.00307 amu) 56fe (55.9349 amu)

Answer 1

1amu

$= 1.66 \times 10 {}^{ - 27} kg$

mass of one proton,mp=1.0072766amu

mass of one neutron,mn=1.0086654amu

The speed of light,

$c = 3 \times 10 {}^{8} \frac{m}{s}$

we have,

experimental mass number,

=10.0129amu

Experimental mass number

$10.0129 \times 1.66 \times 10 {}^{ - 27}$

experimental mass number

$= 1.602 \times 10 {}^{ - 26} kg$

Number of protons,np=5

atomic number,A=10amu

number of neutron,nn=10-5

number of neutrons=5

let the calculated mass be m cal and to find it

m cal=npmp+nnmn

=(5)(1.0072766)+(5)(1.0086654)

m cal =10.07971amu

m cal

$= 10.07971 \times 1.66 \times 10 {}^{ - 27}$

m cal

$= 1.673 \times 10 {}^{ - 26}kg$

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