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Calculate mass defect, binding energy an...

Calculate mass defect, binding energy and binding energy per nucleon of deuteron (`"_1H^2`) nucleus. Given mass of proton=1.007275 a.m.u., mass of neutron = 1.008665 a.m.u. and mass of deuteron =2.013553 a.m.u.

Text Solution

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Mass of deuteron (H) nucleus =`M_(N)` =2.013553 amu
Mass of Proton `m_(p)`=1-007275 amu
Mass of neutron =`m_(n)` =-1.008665 amu
In deuteron nucleus, there one proton and one neutron.
`therefore` Mass defect =`triangle_(m)=m_(p)+m_(n)-M_(N)` =1.0072751-008665-2.013553
=2.01594-2.013553 0.002387 amu
Binding energy = B.E. `=0.002387 xx 931.5`
= 2.22 MeV
Binding energy per nucleon
=`("BE")/( "A Mass Number")`
= 1.11 MeV/nucleon.
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