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10 files changed, 156 insertions, 0 deletions

diff --git a/2795/CH5/EX5.1/Ex5_01.sce b/2795/CH5/EX5.1/Ex5_01.sce
new file mode 100755
index 000000000..8aabd9f86
--- /dev/null
+++ b/2795/CH5/EX5.1/Ex5_01.sce
@@ -0,0 +1,15 @@
+// Scilab Code Ex5.1 :Page-167 (2013)

+clc; clear;

+N_A = 6.022e+23;    // Avogdaro's No., per mole

+n = 1;    // Order of diffraction

+M = 58.5;    // Molecular mass of NaCl, g/mol

+rho = 2.16;    // Density of rock salt, g/cc

+two_theta = 20;   // Scattering angle, degree 

+theta = two_theta/2;    // Diffraction angle, degree

+N = N_A*rho*2/(M*1e-006); // Number of atoms per unit volume, per metre cube   

+d = (1/N)^(1/3);  // Interplanar spacing of NaCl crystal, m 

+lambda = 2*d*sind(theta)/n ;    // Wavelength of X-rays using Bragg's law, m

+printf("\nThe wavelength of the incident X rays  = %5.3f nm", lambda/1e-009);

+

+// Result

+// The wavelength of the incident X rays  = 0.098 nm 

diff --git a/2795/CH5/EX5.10/Ex5_10.sce b/2795/CH5/EX5.10/Ex5_10.sce
new file mode 100755
index 000000000..ee8c6de2d
--- /dev/null
+++ b/2795/CH5/EX5.10/Ex5_10.sce
@@ -0,0 +1,15 @@
+// Scilab Code 5.10: : Page-190 (2013)

+clc; clear;

+dx = 6e-015;    // The uncertainty in position of the electron, m

+h_bar = 1.054e-034;    // PReduced Planck's constant, Js

+e = 1.602e-019;    // Energy equivalnet of 1 eV, J/eV

+c = 3e+008;    // Speed of light, m/s

+E0 = 0.511e+006;    // Rest mass energy of the electron, J

+dp = h_bar*c/(2*dx*e);    // Minimum electron momentum, eV/c

+p = dp;    // Momentum of the electron at least equal to the uncertainty in momentum, eV/c

+E = sqrt(p^2+E0^2)/1e+006;    // Relativistic energy of the electron, MeV 

+K = E - E0/1e+006;    // Minimum kinetic energy of the electron, MeV

+printf("\nThe minimum kinetic energy of the electron = %4.1f MeV", K);

+

+// Result

+// The minimum kinetic energy of  the electron = 15.9 MeV 

diff --git a/2795/CH5/EX5.12/Ex5_12.sce b/2795/CH5/EX5.12/Ex5_12.sce
new file mode 100755
index 000000000..6068e164a
--- /dev/null
+++ b/2795/CH5/EX5.12/Ex5_12.sce
@@ -0,0 +1,18 @@
+// Scilab Code Ex5.12 : Page-190 (2014)

+clc; clear;

+c = 3e+8;    // Speed of light, m/s

+dt = 1e-08;    // Relaxation time of atom, s

+h = 6.6e-34;    // Planck's constant, Js

+dE = h/(4*%pi*dt);    // Energy width of excited state of atom, J

+lambda = 300e-009;    // Wavelegth of emitted photon, m

+f = c/lambda;    // Frequency of emitted photon, per sec

+printf("\nThe energy width of excited state of the atom = %3.1e eV", dE/1.6e-019);

+df = dE/h;    // Uncertainty in frequency, per sec

+printf("\nThe uncertainty ratio of the frequency = %1.0e",  df/f);

+

+// Result

+// The energy width of excited state of the atom = 3.3e-008 eV

+// The uncertainty ratio of the frequency = 8e-009 

+

+

+

diff --git a/2795/CH5/EX5.13/Ex5_13.sce b/2795/CH5/EX5.13/Ex5_13.sce
new file mode 100755
index 000000000..9436642c3
--- /dev/null
+++ b/2795/CH5/EX5.13/Ex5_13.sce
@@ -0,0 +1,14 @@
+// Scilab Code Ex5.13 : Page-195 (2014)

+clc; clear;

+n = [1 2 3];    // First three energy levels

+e = 1.6e-019;   // Energy equivalent of 1 eV, J/eV

+c = 3e008;    // Speed of light, m/s

+h = 6.63e-034;    // Planck's constant, Js

+m = 9.1e-031;    // Mass of the proton, kg

+l = 0.1;    // Length of one-dimensional box, nm

+E_n = n^2*(h*c/(e*1e-009))^2/(8*m*c^2/e*l^2);    // Energy of nth level, eV

+printf("\nThe first three energy level are:\nE1 = %2.0f eV, E2 = %3.0f eV and E3 = %3.0f eV", E_n(1), E_n(2), E_n(3));

+

+// Result

+// The first three energy level are:

+// E1 = 38 eV, E2 = 151 eV and E3 = 340 eV 
\ No newline at end of file
diff --git a/2795/CH5/EX5.2/Ex5_02.sce b/2795/CH5/EX5.2/Ex5_02.sce
new file mode 100755
index 000000000..b12083183
--- /dev/null
+++ b/2795/CH5/EX5.2/Ex5_02.sce
@@ -0,0 +1,20 @@
+// Scilab Code Ex5.2 : Page-168 (2013)

+clc; clear;

+h = 6.63e-034;    // Planck's constant, Js

+c = 3e+008;    // Speed of light, m/s

+// For a moving ball

+m = 0.057;    // Mass of the ball, kg

+v = 25;    // Velocity of ball, m/s

+p = m*v;    // Momentum of the ball, kgm/s

+lambda = h/p;    // Lambda is the wavelength of ball, nm

+printf("\nThe wavelength of ball = %3.1e m", lambda);

+// For a moving electron

+m = 0.511e+006;    // Rest mass of an electron, eV

+K = 50;    // Kinetic energy of the electron, eV

+p = sqrt(2*m*K);    // Momentum of the electron, kgm/s

+lambda = h*c/(1.602e-019*p*1e-009);    // Wavelength of the electron, nm

+printf("\nThe wavelength of the electron = %4.2f nm", lambda);

+

+// Result

+// The wavelength of ball = 4.7e-034 m

+// The wavelength of the electron = 0.17 nm 

diff --git a/2795/CH5/EX5.3/Ex5_03.sce b/2795/CH5/EX5.3/Ex5_03.sce
new file mode 100755
index 000000000..e689f340c
--- /dev/null
+++ b/2795/CH5/EX5.3/Ex5_03.sce
@@ -0,0 +1,12 @@
+// Scilab Code Ex5.3 : Page-173 (2013)

+clc; clear;

+m = 9.1e-31;    // Mass of the electron, kg

+h = 6.63e-34;    // Planck's constant, Js

+c = 3e+008;    // Speed of light, m/s

+e = 1.6e-19;    // Energy equivalent of 1 eV, J/eV

+V0 = 54;    // Potential difference between electrodes, V

+lambda = h*c/(sqrt(2*m*c^2/e*V0)*e*1e-009);    // de Broglie wavelength of the electron, nm

+printf("\nThe de Broglie wavelength of the electron used by Davisson and Germer = %5.3f nm", lambda);

+

+// Result

+// The de Broglie wavelength of the electron used by Davisson and Germer = 0.167 nm 

diff --git a/2795/CH5/EX5.4/Ex5_04.sce b/2795/CH5/EX5.4/Ex5_04.sce
new file mode 100755
index 000000000..4b7e72d65
--- /dev/null
+++ b/2795/CH5/EX5.4/Ex5_04.sce
@@ -0,0 +1,16 @@
+// Scilab Code Ex5.4 : Page-174 (2013)

+clc; clear;

+h = 6.63e-34;    // Planck's constant, Js

+c = 3e+008;    // Speed of light, m/s

+e = 1.6e-19;    // Energy equivalent of 1 eV, J/eV

+m = 1.67e-27;    // Mass of a neutron, kg

+k = 1.38e-23;    // Boltzmann constant, J/mol/K

+T = [300 77];    // Temperatures, K

+lambda = h*c/(sqrt(3*m*c^2/e*k/e*T(1))*e);    // The wavelength of the neutron at 300 K, nm

+printf("\nThe wavelength of the neutron at %d K = %5.3f nm", T(1), lambda/1e-09);

+lambda = h*c/(sqrt(3*m*c^2/e*k/e*T(2))*e);    // The wavelength of the neutron at 77 K, nm

+printf("\nThe wavelength of the neutron at %d K = %5.3f nm", T(2), lambda/1e-09);

+

+// Result

+// The wavelength of the neutron at 300 K = 0.146 nm

+// The wavelength of the neutron at 77 K = 0.287 nm 

diff --git a/2795/CH5/EX5.7/Ex5_07.sce b/2795/CH5/EX5.7/Ex5_07.sce
new file mode 100755
index 000000000..04c4c12d6
--- /dev/null
+++ b/2795/CH5/EX5.7/Ex5_07.sce
@@ -0,0 +1,22 @@
+// Scilab Code Ex5.7 :Page-184 (2013)

+clc; clear;

+h = 6.626e-34;    // Planck's constant, Js

+c = 3e+008;    // Speed of light, m/s

+e = 1.602e-019;    // Energy equivalent of 1 eV, J/ev

+d = 2000;    // Distance between slit centres, nm

+K = 50e+003;    // Kinetic energy of electrons, eV

+l = 350e+006;    // Distance of screen from the slits, nm

+lambda = 1.226/sqrt(K);    // Non-relativistic value of de Broglie wavelength of the electrons, nm

+E0 = 0.511e+006;    // Rest energy of the electron, J

+E = K + E0;    // Total energy of the electron, J

+p_c = sqrt(E^2 - E0^2);    // Relativistic mass energy relation, eV

+lambda_r = h*c/(p_c*e*1e-009);    // Relativistic value of de Broglie wavelength, nm

+percent_d = (lambda - lambda_r)/lambda*100;    // Percentage decrease in relativistic value relative to non-relavistic value

+sin_theta = lambda_r/d;    // Bragg's law

+y = l*sin_theta;    // The distance of first maximum from the screen, nm

+printf("\nThe percentage decrease in relativistic value relative to non-relavistic value = %1.0f percent", percent_d);

+printf("\nThe distance between first two maxima = %3.0f nm", y);

+

+// Result

+// The percentage decrease in relativistic value relative to non-relavistic value = 2 percent

+// The distance between first two maxima = 938 nm

diff --git a/2795/CH5/EX5.8/Ex5_08.sce b/2795/CH5/EX5.8/Ex5_08.sce
new file mode 100755
index 000000000..f96c093e3
--- /dev/null
+++ b/2795/CH5/EX5.8/Ex5_08.sce
@@ -0,0 +1,13 @@
+// Scilab Code Ex5.8 : Page-187 (2013)

+clc; clear;

+dx = 17.5;    // The uncertainty in position, m

+h = 1.05e-034;    // Reduced Planck's constant, Js

+dp_x = h/(2*dx);    // The uncertainty in momentum, kgm/s

+printf("\nThe unecrtainty in momentum of the ball = %1.0e kg-m/s", dp_x);

+dx = 0.529e-010;    // The uncertainty in position, m

+dp_x = h/(2*dx);    // The uncertainty in momentum, kgm/s

+printf("\nThe uncertainty in momentum of the electron = %1.0e kg-m/s", dp_x);

+

+// Result

+// The unecrtainty in momentum of the ball = 3e-036 kg-m/s

+// The uncertainty in momentum of the electron = 1e-024 kg-m/s 

diff --git a/2795/CH5/EX5.9/Ex5_09.sce b/2795/CH5/EX5.9/Ex5_09.sce
new file mode 100755
index 000000000..1d226b023
--- /dev/null
+++ b/2795/CH5/EX5.9/Ex5_09.sce
@@ -0,0 +1,11 @@
+// Scilab Code Ex5.9 : Page-188 (2013)

+clc; clear;

+a_0 = 5.29e-11;    // Radius of H-atom, m

+l = 2*a_0;    // Length, m

+h = 6.63e-34;    // Planck's constant, Js

+m = 9.1e-31;    // Mass of electron, kg

+K_min = h^2/(8*(%pi)^2*m*l^2);    // Minimum kinetic energy possesed, J

+printf("\nThe minimum kinetic energy of the electron = %3.1f eV", K_min/1.6e-19);

+

+// Result

+// The minimum kinetic energy of the electron = 3.4 eV