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Find out binding energy and binding ener...

Find out binding energy and binding energy per nucleon of `"_3Li^7` nucleus. Given mass of proton = 1.00782 amu mass of a neutron = 1.00866 amu and mass of "_3Li^7` `"_3(Lithium)^7` nucleus = 7.01599 amu.

Text Solution

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Mass of Lithium (Li) nucleus = `M_(N)` = 7.01599 amu
Mass of proton = `m_(p)` =1-00782 amu
Mass of neutron = `m_(n)` =1.00866 amu
In Lithium nucleus, there are three protons and four neutrons.
`therefore`
`=3xx 1·00782 +4 xx 1-00866-7.01599`
`=3.02346 +4.03464-7.01599 =7.0581-7.01599`
=0.0421 amu
Binding energy =`triangle m xx 931.5 MeV`
=0.042111 `xx` 931.5
=39.23 MeV
Binding energy per nucleon
`("B.E")/(A ("Atomic Number"))`
= 5.60 MeV/nucleon.
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