initial commit / add all books

13 files changed, 175 insertions, 0 deletions

diff --git a/1535/CH8/EX8.1/Ch08Ex1.sci b/1535/CH8/EX8.1/Ch08Ex1.sci
new file mode 100755
index 000000000..0d72b7fb8
--- /dev/null
+++ b/1535/CH8/EX8.1/Ch08Ex1.sci
@@ -0,0 +1,11 @@
+// Scilab Code Ex8.1: Page-171 (2010)

+L_0 = 1;    // For simplicity, we assume classical length to be unity, m

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+L = (1-1/100)*L_0;    // Relativistic length, m

+// Relativistic length contraction gives

+// L = L_0*sqrt(1-v^2/c^2), solving for v

+v = sqrt(1-(L/L_0)^2)*c;    // Speed at which relativistic length is 1 percent of the classical length, m/s

+printf("\nThe speed at which relativistic length is 1 percent of the classical length = %5.3fc", v);

+

+// Result

+// The speed at which relativistic length is 1 percent of the classical length = 0.141c 
\ No newline at end of file
diff --git a/1535/CH8/EX8.10/Ch08Ex10.sci b/1535/CH8/EX8.10/Ch08Ex10.sci
new file mode 100755
index 000000000..cb1c55c62
--- /dev/null
+++ b/1535/CH8/EX8.10/Ch08Ex10.sci
@@ -0,0 +1,8 @@
+// Scilab Code Ex8.10: Page-175 (2010)

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

+dE = 4e+026;    // Energy radiated per second my the sun, J/s

+dm = dE/c^2;    // Rate of decrease of mass of sun, kg/s

+printf("\nThe rate of decrease of mass of sun = %4.2e kg/s", dm);

+

+// Result

+// The rate of decrease of mass of sun = 4.44e+009 kg/s
\ No newline at end of file
diff --git a/1535/CH8/EX8.11/Ch08Ex11.sci b/1535/CH8/EX8.11/Ch08Ex11.sci
new file mode 100755
index 000000000..77949a9b6
--- /dev/null
+++ b/1535/CH8/EX8.11/Ch08Ex11.sci
@@ -0,0 +1,17 @@
+// Scilab Code Ex8.11: Page-175 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+m0 = 9.1e-031;  // Mass of the electron, kg

+E0 = 0.512;    // Rest energy of electron, MeV

+T = 10;    // Kinetic energy of electron, MeV

+E = T + E0;    // Total energy of electron, MeV

+// From Relativistic mass-energy relation

+// E^2 = c^2*p^2 + m0^2*c^4, solving for p

+p = sqrt(E^2-m0^2*c^4)/c;    // Momentum of the electron, MeV

+// As E = E0/sqrt(1-(u/c)^2), solving for u

+u = sqrt(1-(E0/E)^2)*c;    // Velocity of the electron, m/s

+printf("\nThe momentum of the electron = %4.1f/c MeV", p);

+printf("\nThe velocity of the electron = %6.4fc", u);

+

+// Result

+// The momentum of the electron = 10.5/c MeV

+// The velocity of the electron = 0.9988c 

diff --git a/1535/CH8/EX8.13/Ch08Ex13.sci b/1535/CH8/EX8.13/Ch08Ex13.sci
new file mode 100755
index 000000000..1e57653b7
--- /dev/null
+++ b/1535/CH8/EX8.13/Ch08Ex13.sci
@@ -0,0 +1,14 @@
+// Scilab Code Ex8.13: Page-176 (2010)

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

+E = 4.5e+017;    // Total energy of object, J

+px = 3.8e+008;    // X-component of momentum, kg-m/s

+py = 3e+008;    // Y-component of momentum, kg-m/s

+pz = 3e+008;    // Z-component of momentum, kg-m/s

+p = sqrt(px^2+py^2+px^2);    // Total momentum of the object, kg-m/s

+// From Relativistic mass-energy relation

+// E^2 = c^2*p^2 + m0^2*c^4, solving for m0

+m0 = sqrt(E^2/c^4 - p^2/c^2);    // Rest mass of the body, kg

+printf("\nThe rest mass of the body = %4.2f kg", m0);

+

+// Result

+// The rest mass of the body = 4.56 kg 
\ No newline at end of file
diff --git a/1535/CH8/EX8.14/Ch08Ex14.sci b/1535/CH8/EX8.14/Ch08Ex14.sci
new file mode 100755
index 000000000..62ac60f32
--- /dev/null
+++ b/1535/CH8/EX8.14/Ch08Ex14.sci
@@ -0,0 +1,9 @@
+// Scilab Code Ex8.14: Page-176 (2010)

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

+m = 50000;    // Mass of high speed probe, kg

+u = 0.8*c;    // Speed of the probe, m/s

+p = m*u/sqrt(1-(u/c)^2);    // Momentum of the probe, kg-m/s

+printf("\nThe momentum of the high speed probe = %1g kg-m/s", p);

+

+// Result

+// The momentum of the high speed probe = 2e+013 kg-m/s 
\ No newline at end of file
diff --git a/1535/CH8/EX8.15/Ch08Ex15.sci b/1535/CH8/EX8.15/Ch08Ex15.sci
new file mode 100755
index 000000000..c8f0d2e36
--- /dev/null
+++ b/1535/CH8/EX8.15/Ch08Ex15.sci
@@ -0,0 +1,20 @@
+// Scilab Code Ex8.15: Page-177 (2010)

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

+m0 = 9.11e-031;    // Rest mass of electron, kg

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

+u1 = 0.98*c;    // Inital speed of electron, m/s

+u2 = 0.99*c;    // Final speed of electron, m/s

+m1 = m0/sqrt(1-(u1/c)^2);    // Initial relativistic mass of electron, kg

+m2 = m0/sqrt(1-(u2/c)^2);    // Final relativistic mass of electron, kg

+dm = m2 - m1;    // Change in relativistic mass of the electron, kg

+W = dm*c^2;    // Work done on the electron to change its velocity, J

+// As W = eV, V = accelerating potential, solving for V

+V = W/e;    // Accelerating potential, volt

+printf("\nThe change in relativistic mass of the electron = %4.1e kg", dm);

+printf("\nThe work done on the electron to change its velocity = %4.2f MeV", W/(e*1e+006));

+printf("\nThe accelerating potential = %4.2e volt", V);

+

+// Result

+// The change in relativistic mass of the electron = 1.9e-030 kg

+// The work done on the electron to change its velocity = 1.06 MeV

+// The accelerating potential = 1.06e+006 volt
\ No newline at end of file
diff --git a/1535/CH8/EX8.2/Ch08Ex2.sci b/1535/CH8/EX8.2/Ch08Ex2.sci
new file mode 100755
index 000000000..3fdfba370
--- /dev/null
+++ b/1535/CH8/EX8.2/Ch08Ex2.sci
@@ -0,0 +1,10 @@
+// Scilab Code Ex8.2: Page-171 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+v = 0.9*c;    // Speed at which beam of particles travel, m/s

+delta_t = 5e-006;    // Mean lifetime of particles as observed in the Lab. frame, s

+delta_tau = delta_t*sqrt(1-(v/c)^2);    // Proper lifetime of particle as per Time Dilation rule, s

+printf("\nThe proper lifetime of particle = %4.2e s", delta_tau);

+

+// Result

+// The proper lifetime of particle = 2.18e-006 s

+

diff --git a/1535/CH8/EX8.4/Ch08Ex4.sci b/1535/CH8/EX8.4/Ch08Ex4.sci
new file mode 100755
index 000000000..0c4cf8a5b
--- /dev/null
+++ b/1535/CH8/EX8.4/Ch08Ex4.sci
@@ -0,0 +1,12 @@
+// Scilab Code Ex8.4: Page-172 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+v = 0.6*c;    // Speed with which the rocket leaves the earth, m/s

+u_prime = 0.9*c;    // Relative speed of second rocket w.r.t. the first rocket, m/s

+u = (u_prime+v)/(1+(u_prime*v)/c^2);    // Speed of second rocket for same direction of firing as per Velocity Addition Rule, m/s

+printf("\nThe speed of second rocket for same direction of firing = %5.3fc", u);

+u = (-u_prime+v)/(1-(u_prime*v)/c^2);    // Speed of second rocket for opposite direction of firing as per Velocity Addition Rule, m/s

+printf("\nThe speed of second rocket for opposite direction of firing = %5.3fc", u);

+

+// Result

+// The speed of second rocket for same direction of firing = 0.974c

+// The speed of second rocket for opposite direction of firing = -0.652c
\ No newline at end of file
diff --git a/1535/CH8/EX8.5/Ch08Ex5.sci b/1535/CH8/EX8.5/Ch08Ex5.sci
new file mode 100755
index 000000000..4d831344d
--- /dev/null
+++ b/1535/CH8/EX8.5/Ch08Ex5.sci
@@ -0,0 +1,15 @@
+// Scilab Code Ex8.5: Page-172 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+L0 = 1;    // For simplicity assume length in spaceship's frame to be unity, m

+L = 1/2*L0;    // Length as observed on earth, m

+// Relativistic length contraction gives

+// L = L_0*sqrt(1-v^2/c^2), solving for v

+v = sqrt(1-(L/L0)^2)*c;    // Speed at which length of spaceship is observed as half from the earth frame, m/s

+tau = 1;    // Unit time in the spaceship's frame, s

+t = tau/sqrt(1-(v/c)^2);    // Time dilation of the spaceship's unit time, s

+printf("\nThe speed at which length of spaceship is observed as half from the earth frame = %5.3fc", v);

+printf("\nThe time dilation of the spaceship unit time = %1g*tau", t);

+

+// Result

+// The speed at which length of spaceship is observed as half from the earth frame = 0.866c

+// The time dilation of the spaceship unit time = 2*tau

diff --git a/1535/CH8/EX8.6/Ch08Ex6.sci b/1535/CH8/EX8.6/Ch08Ex6.sci
new file mode 100755
index 000000000..18cc2e425
--- /dev/null
+++ b/1535/CH8/EX8.6/Ch08Ex6.sci
@@ -0,0 +1,16 @@
+// Scilab Code Ex8.6: Page-172 (2010)

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

+v = 0.6*c;    // Velocity with which S2 frame moves relative to S1 frame, m/s

+L_factor = 1/sqrt(1-(v/c)^2);    // Lorentz factor

+t1 = 2e-007;    // Time for which first event occurs, s

+t2 = 3e-007;    // Time for which second event occurs, s

+x1 = 10;    // Position at which first event occurs, m

+x2 = 40;    // Position at which second event occurs, m

+delta_t = L_factor*(t2 - t1)+L_factor*v/c^2*(x1 - x2);    // Time difference between the events, s

+delta_x = L_factor*(x2 - x1)-L_factor*v*(t2 - t1);    // Distance between the events, m

+printf("\nThe time difference between the events = %3.1e s", delta_t);

+printf("\nThe distance between the events = %2d m", delta_x);

+

+// Result

+// The time difference between the events = 5.0e-008 s

+// The distance between the events = 15 m
\ No newline at end of file
diff --git a/1535/CH8/EX8.7/Ch08Ex7.sci b/1535/CH8/EX8.7/Ch08Ex7.sci
new file mode 100755
index 000000000..e9b943df9
--- /dev/null
+++ b/1535/CH8/EX8.7/Ch08Ex7.sci
@@ -0,0 +1,11 @@
+// Scilab Code Ex8.7: Page-173 (2010)

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

+tau = 2.6e-008;    // Mean lifetime the particle in its own frame, s

+d = 20;    // Distance which the unstable particle travels before decaying, m

+// As t = d/v and also t = tau/sqrt(1-(v/c)^2), so that

+// d/v = tau/sqrt(1-(v/c)^2), solving for v

+v = sqrt(d^2/(tau^2+(d/c)^2));    // Speed of the unstable particle in Lab. frame, m/s

+printf("\nThe speed of the unstable particle in Lab. frame = %3.1e m/s", v)

+

+// Result

+// The speed of the unstable particle in Lab. frame = 2.8e+008 m/s
\ No newline at end of file
diff --git a/1535/CH8/EX8.8/Ch08Ex8.sci b/1535/CH8/EX8.8/Ch08Ex8.sci
new file mode 100755
index 000000000..f30ecd927
--- /dev/null
+++ b/1535/CH8/EX8.8/Ch08Ex8.sci
@@ -0,0 +1,22 @@
+// Scilab Code Ex8.8: Page-174 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+me = 1;    // For simplicity assume mass of electron to be unity, kg

+tau = 2.3e-006;    // Average lifetime of mu-meson in rest frame, s

+t = 6.9e-006;    // Average lifetime of mu-meson in laboratory frame, s

+// Fromm Time Dilation Rule, tau = t*sqrt(1-(v/c)^2), solving for v

+v = sqrt(1-(tau/t)^2)*c;    // Speed of mu-meson in the laboratory frame, m/s

+c

+m0 = 207*me;    // Rest mass of mu-meson, kg

+m = m0/sqrt(1-(v/c)^2);    // Relativistic variation of mass with velocity, kg

+me = 9.1e-031;    // Mass of an electron, kg

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

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

+T = (m*me*c^2 - m0*me*c^2)/e;    // Kinetic energy of mu-meson, J    

+printf("\nThe speed of mu-meson in the laboratory frame = %6.4fc", v);

+printf("\nThe effective mass of mu-meson = %3d me", m);

+printf("\nThe kinetic energy of mu-meson = %5.1f MeV", T/1e+006);

+

+// Result

+// The speed of mu-meson in the laboratory frame = 0.9428c

+// The effective mass of mu-meson = 620 me

+// The kinetic energy of mu-meson = 211.9 MeV 
\ No newline at end of file
diff --git a/1535/CH8/EX8.9/Ch08Ex9.sci b/1535/CH8/EX8.9/Ch08Ex9.sci
new file mode 100755
index 000000000..5360e92cc
--- /dev/null
+++ b/1535/CH8/EX8.9/Ch08Ex9.sci
@@ -0,0 +1,10 @@
+// Scilab Code Ex8.9: Page-174 (2010)

+c = 1;    // For simplicity assume speed of light to be unity, m/s

+m0 = 1;    // For simplicity assume rest mass to be unity, kg

+m = (20/100+1)*m0;    // Mass in motion, kg

+// As m = m0/sqrt(1-(u/c)^2), solving for u

+u = sqrt(1-(m0/m)^2)*c;    // Speed of moving mass, m/s 

+printf("\nThe speed of moving body, u = %5.3fc", u);

+

+// Result

+// The speed of moving body, u = 0.553c