Chapter 30 Structure Of Nucleus

Example 30.1 Page no 840

In [19]:
#Given
A1=197
A2=107.0

#Calculation
R=(A1/A2)**(0.3)

#Result
print"The ratio of the nuclear radii of the gold and silver isotope is",round(R,3)

The ratio of the nuclear radii of the gold and silver isotope is 1.201

Example 30.2 Page no 840

In [42]:
#Given
R=1.2*10**-15                       #m
M=1.67*10**-27                      #kg
P1=10**3                            #kg m**-3

#Calculation
import math
V=1.3*math.pi*(R**3)
P=M/V
A=P/P1

#Result
print"Nuclear matter is denser than water is",round(A*10**-14,3),"*10**14","times"

Nuclear matter is denser than water is 2.366 10**14 times

Example 30.3 Page no 840

In [49]:
#Given
Mh=4.00150                      #a.m.u.
Mp=1.00728                      #a.m.u.
Mn=1.00867                      #a.m.u.
W0=931.5                        #MeV

#Calculation
A=((2*Mp)+(2*Mn))-Mh
A1=A*W0

#Result
print"Binding energy of a-particle is",round(A1,2),"MeV"

Binding energy of a-particle is 28.32 MeV

Example 30.4 Page no 840

In [62]:
#Given
Mp=1.007275                         #a.m.u.
Mn=1.008665                         #a.m.u.
Mh=2.013553                         #a.m.u.
S=2.0
U=931.5

#Calculation
A=(Mp+Mn)-Mh
P=A/S
W=A*U
L=W/S

#Result
print"The mass defect is",A,"a.m.u." 
print"The packing fraction is",P,"a.m.u."
print"The binding energy of deutron is",round(W,2),"MeV"
print"The binding energy of per nucleon of deutron is",round(L,2),"MeV"

The mass defect is 0.002387 a.m.u.
The packing fraction is 0.0011935 a.m.u.
The binding energy of deutron is 2.22 MeV
The binding energy of per nucleon of deutron is 1.11 MeV

Example 30.5 Page no 840

In [80]:
#Given
Mh=1.007825                         #a.m.u.
Mn=1.008665                         #a.m.u.
Mp=55.934939                        #a.m.u.
Mb=208.980388                       #a.m.u.
A=56.0
Z=26
S=931.5
A1=209.0
Z1=83

#Calculation
W=A-Z
Q=((Z*Mh+W*Mn)-Mp)*S
R=Q/A
W1=A1-Z1
Q1=((Z1*Mh+W1*Mn)-Mb)*S
R1=Q1/A1

#Result
print"The binding energy of the nuclri of Fe is",round(Q,2),"MeV"
print"The binding energy of the nuclei of Bi is",round(Q1,2),"MeV"
print"Binding energy per nucleon of Fe is",round(R,2),"MeV"
print"Binding energy per nucleon of Bi is",round(R1,3),"MeV"

The binding energy of the nuclri of Fe is 492.26 MeV
The binding energy of the nuclei of Bi is 1640.26 MeV
Binding energy per nucleon of Fe is 8.79 MeV
Binding energy per nucleon of Bi is 7.848 MeV