Nuclei with magic no. of proton Z=2,8,20,28,50,52 and magic no. of neutrons N=2,8,20,28,50,82 and 126 are found to be stable. (i) Verify this by calculating the proton separation energy Sp for. 120Sn ( Z = 50 ) and 121Sb( Z = 51 ). The proton separation energy for a nuclide is the minimum energy required to separated the least tightly bound proton form a nucleus of that nuclide. It is given by Sp = ( Mz-1 , N + MH−Mz ,N )c2
= ( - 1 , + H – Z , ) 2 . given 119 = 118.9058 , . 120 = 199.902199 , . 121 = 120.903824 ,1 = 1.0078252 (ii) what does the existence of magic number indicate?
Nuclei with magic no. of proton Z=2,8,20,28,50,52 and magic no. of neutrons N=2,8,20,28,50,82 and 126 are found to be stable. (i) Verify this by calculating the proton separation energy Sp for. 120Sn ( Z = 50 ) and 121Sb( Z = 51 ). The proton separation energy for a nuclide is the minimum energy required to separated the least tightly bound proton form a nucleus of that nuclide. It is given by Sp = ( Mz-1 , N + MH−Mz ,N )c2 = ( - 1 , + H – Z , ) 2 . given 119 = 118.9058 , . 120 = 199.902199 , . 121 = 120.903824 ,1 = 1.0078252 (ii) what does the existence of magic number indicate?
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1 Answer
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This is a Long Answer Type Questions as classified in NCERT Exemplar
Explanation- B.E = (Mp+MH-MN)c2
B.E= (118.9058+1.0078252-119.902199)c2
B.E=0.0114362 c2
B.E= (Mp+MH-MN)c2
B.E= (119.902199+1.0078252-120.902822)c2
B.E= 0.0059912c2
(ii) the existence of magic numbers indicates that the shell structure of nucleus is similar to the shell structure of an atom. This also explains peaks in binding energy curve.
Similar Questions for you
Q = [4 *4.0026 – 15.9994] *931.5 MeV
Q = 10.2 MeV
-(1)
for B,
for B,
-(2)
The reaction is X²? → Y¹²? + Z¹²?
Binding energies per nucleon are: X=7.6 MeV, Y=8.5 MeV, Z=8.5 MeV.
Gain in binding energy (Q) = (Binding energy of products) - (Binding energy of reactants)
Q = (120 × 8.5 + 120 × 8.5) - (240 × 7.6) MeV
Q = (2 × 120 × 8.5) - (240 × 7.6) MeV = 2040 - 1824 = 216 MeV.
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