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authorprashantsinalkar2017-10-10 12:27:19 +0530
committerprashantsinalkar2017-10-10 12:27:19 +0530
commit7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch)
treedbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /3717/CH18
parentb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff)
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Diffstat (limited to '3717/CH18')
-rw-r--r--3717/CH18/EX18.1/Ex18_1.sce12
-rw-r--r--3717/CH18/EX18.2/Ex18_2.sce19
-rw-r--r--3717/CH18/EX18.3/Ex18_3.sce13
-rw-r--r--3717/CH18/EX18.5/Ex18_5.sce11
-rw-r--r--3717/CH18/EX18.6/Ex18_6.sce11
-rw-r--r--3717/CH18/EX18.7/Ex18_7.sce13
-rw-r--r--3717/CH18/EX18.8/Ex18_8.sce9
-rw-r--r--3717/CH18/EX18.9/Ex18_9.sce12
8 files changed, 100 insertions, 0 deletions
diff --git a/3717/CH18/EX18.1/Ex18_1.sce b/3717/CH18/EX18.1/Ex18_1.sce
new file mode 100644
index 000000000..c10f33f7f
--- /dev/null
+++ b/3717/CH18/EX18.1/Ex18_1.sce
@@ -0,0 +1,12 @@
+// Ex18_1 Page:347 (2014)
+clc;clear;
+N0 = poly(0, 'N0'); // Declare the original number of nuclides
+HL = [2 5 10]; // Half lives, time units
+for i = 1:3
+printf("\nAfter %d half lives, the fraction remains = 1/%d", HL(i), 2^HL(i));
+end
+
+// Result
+// After 2 half lives, the fraction remains = 1/4
+// After 5 half lives, the fraction remains = 1/32
+// After 10 half lives, the fraction remains = 1/1024 \ No newline at end of file
diff --git a/3717/CH18/EX18.2/Ex18_2.sce b/3717/CH18/EX18.2/Ex18_2.sce
new file mode 100644
index 000000000..34f7dbf86
--- /dev/null
+++ b/3717/CH18/EX18.2/Ex18_2.sce
@@ -0,0 +1,19 @@
+// Ex18_2 Page:348 (2014)
+clc;clear;
+t_half = 2.7*24*60*60; // Half life of Au-198, s
+lambda = 0.693/t_half; // Decay constant of Au-198, per sec
+M = 198; // Molar mass of Au-198, g
+m = 1e-006; // Mass of Au-198 sample, g
+N_A = 6.023e+023; // Avogadro number, atoms/mol
+t = 8*24*60*60; // Age of the sample, s
+N = m*N_A/M; // Number of nuclei in the sample
+A0 = lambda*N; // Activity of Au-198, Ci
+A = A0*exp(-lambda*t); // Activity of the 8 days old sample, decays per sec
+printf("\nThe decay constant of Au-198 = %4.2e per sec", lambda);
+printf("\nThe activity of Au-198 = %5.3f Ci", A0/3.7e+010);
+printf("\nThe activity of the 8 days old sample of Au-198 = %4.2e decays per sec", A);
+
+// Result
+// The decay constant of Au-198 = 2.97e-006 per sec
+// The activity of Au-198 = 0.244 Ci
+// The activity of the 8 days old sample of Au-198 = 1.16e+009 decays per sec \ No newline at end of file
diff --git a/3717/CH18/EX18.3/Ex18_3.sce b/3717/CH18/EX18.3/Ex18_3.sce
new file mode 100644
index 000000000..e67593e13
--- /dev/null
+++ b/3717/CH18/EX18.3/Ex18_3.sce
@@ -0,0 +1,13 @@
+// Ex18_3 Page:348 (2014)
+clc;clear;
+N_A = 6.02e+023; // Avogadro number, atoms/mol
+M = 14; // Gram atomic mass of C-14, g
+t_half = 5570*365*24*60*60; // Half life of C-14, s
+lambda = 0.693/t_half; // Decay constant of Au-198, per sec
+A = 2e-003*3.7e+010; // Activity of C-14, decays per sec
+N = 1/lambda*A; // The number of nuclei in the C-14 sample
+m = N*M/N_A; // Mass of N atoms of C-14, g
+printf("\nThe mass of 2 mCi of radioactive C-14 = %4.2e g", m);
+
+// Result
+// The mass of 2 mCi of radioactive C-14 = 4.36e-004 g \ No newline at end of file
diff --git a/3717/CH18/EX18.5/Ex18_5.sce b/3717/CH18/EX18.5/Ex18_5.sce
new file mode 100644
index 000000000..d52f61ac4
--- /dev/null
+++ b/3717/CH18/EX18.5/Ex18_5.sce
@@ -0,0 +1,11 @@
+// Ex18_5 Page:353 (2014)
+clc;clear;
+N1 = 1; // Assume the number of present atoms of K-40
+N2 = 10.2; // No.of atoms of Ar-40 relative to K-40
+t_half = 1.25e+009; // Half-life of K-40, years
+lambda = 0.693/t_half; // Decay constant, per sec
+t = log(1 + N2/N1)/lambda; // Age of the rock on moon, years
+printf("\nThe age of the rock on moon = %4.2e yr", t);
+
+// Result
+// The age of the rock on moon = 4.36e+009 yr \ No newline at end of file
diff --git a/3717/CH18/EX18.6/Ex18_6.sce b/3717/CH18/EX18.6/Ex18_6.sce
new file mode 100644
index 000000000..c197dcf02
--- /dev/null
+++ b/3717/CH18/EX18.6/Ex18_6.sce
@@ -0,0 +1,11 @@
+// Ex18_6 Page:356 (2014)
+clc;clear;
+m_U232 = 232.037131; // Atomic mass of U-232, u
+m_He4 = 4.002603; // Atomic mass of He-4, u
+KE_alpha = 5.32; // Kinetic energy of alpha-particle, MeV
+m_Th228 = m_U232 - m_He4 - KE_alpha/931.5; // Atomic mass of Th-228, u
+printf("\nThe atomic mass of Th-228 = %10.6f u", m_Th228);
+
+// Result
+// The atomic mass of Th-228 = 228.028817 u
+// The answers vary due to round off error \ No newline at end of file
diff --git a/3717/CH18/EX18.7/Ex18_7.sce b/3717/CH18/EX18.7/Ex18_7.sce
new file mode 100644
index 000000000..8a0572f22
--- /dev/null
+++ b/3717/CH18/EX18.7/Ex18_7.sce
@@ -0,0 +1,13 @@
+// Ex18_7 Page:359 (2014)
+clc;clear;
+m_AX = 11.011433; // Mass of parent nucleus, MeV
+m_AX_prime = 11.009305; // Mass of daughter nucleus, MeV
+m_e = 0.511; // Mass of an electron, MeV
+Q_min = 0;
+Q = (m_AX - m_AX_prime)*931.5 - 2*m_e; // Q value for the decay, MeV
+printf("\nThe maximum energy of the neutrino = %4.2f MeV", Q);
+printf("\nThe minimum energy of the neutrino = %d MeV", Q_min);
+
+// Result
+// The maximum energy of the neutrino = 0.96 MeV
+// The minimum energy of the neutrino = 0 MeV \ No newline at end of file
diff --git a/3717/CH18/EX18.8/Ex18_8.sce b/3717/CH18/EX18.8/Ex18_8.sce
new file mode 100644
index 000000000..b69a54d22
--- /dev/null
+++ b/3717/CH18/EX18.8/Ex18_8.sce
@@ -0,0 +1,9 @@
+// Ex18_8 Page:359 (2014)
+clc;clear;
+m_K40 = 39.963999; // Mass K-40 nucleus, MeV
+m_Ar40 = 39.962384; // Mass Ar-40 nucleus, MeV
+Q = (m_K40 - m_Ar40)*931.5; // Q value for the reaction, MeV
+printf("\nThe kinetic energy of the neutrino = %5.3f MeV", Q);
+
+// Result
+// The kinetic energy of the neutrino = 1.504 MeV \ No newline at end of file
diff --git a/3717/CH18/EX18.9/Ex18_9.sce b/3717/CH18/EX18.9/Ex18_9.sce
new file mode 100644
index 000000000..98d6e6184
--- /dev/null
+++ b/3717/CH18/EX18.9/Ex18_9.sce
@@ -0,0 +1,12 @@
+// Ex18_9 Page:360 (2014)
+clc;clear;
+m_N12 = 12.018613; // Mass N-12 nucleus, MeV
+m_C12 = 12; // Mass C-12 nucleus, MeV
+m_e = 0.000549; // Mass of the electron, MeV
+E_gamma = 4.43; // Energy of the emitted gamma ray. MeV
+Q = (m_N12 - m_C12 - 2*m_e)*931.5; // Q value for the reaction, MeV
+E_max = Q - E_gamma; // The maximum kinetic energy of the beta particle, MeV
+printf("\nThe maximum kinetic energy of the beta particle = %5.2f MeV", E_max);
+
+// Result
+// The maximum kinetic energy of the beta particle = 11.89 MeV \ No newline at end of file