diff options
Diffstat (limited to '2795/CH14')
-rwxr-xr-x | 2795/CH14/EX14.1/Ex14_01.sce | 14 | ||||
-rwxr-xr-x | 2795/CH14/EX14.10/Ex14_10.sce | 17 | ||||
-rwxr-xr-x | 2795/CH14/EX14.11/Ex14_11.sce | 10 | ||||
-rwxr-xr-x | 2795/CH14/EX14.2/Ex14_02.sce | 15 |
4 files changed, 56 insertions, 0 deletions
diff --git a/2795/CH14/EX14.1/Ex14_01.sce b/2795/CH14/EX14.1/Ex14_01.sce new file mode 100755 index 000000000..5b78866fd --- /dev/null +++ b/2795/CH14/EX14.1/Ex14_01.sce @@ -0,0 +1,14 @@ +// Scilab Code Ex14.1: Page-522(2014)
+clc; clear;
+e = 1.6e-019; // Energy equivalent of 1 eV, J
+h = 6.62e-034; // Planck's oconstant, Js
+c = 3.00e+008; // Speed of light in vacuum, m/s
+h_bar = h/(2*%pi); // Reduced Planck's constant, Js
+R_N = 1e-015; // Range of nuclear force, m
+// As delta_E*delta_t = h_bar/2 and delta_E = m_pion*c^2, solving for m_pion
+m_pion = h_bar*c/(2*R_N*e*1e+006); // Mass of the meson, MeV/c^2
+printf("\nThe estimated mass of meson from Heisenberg uncertainty principle = %d MeV/c^2", round(m_pion));
+
+// Result
+// The estimated mass of meson from Heisenberg uncertainty principle = 99 MeV/c^2
+// The answer is rounded off in the textbook
\ No newline at end of file diff --git a/2795/CH14/EX14.10/Ex14_10.sce b/2795/CH14/EX14.10/Ex14_10.sce new file mode 100755 index 000000000..0deb385fe --- /dev/null +++ b/2795/CH14/EX14.10/Ex14_10.sce @@ -0,0 +1,17 @@ +// Scilab Code Ex14.10: Page-548(2014)
+clc; clear;
+m_p = 0.938; // Rest mass energy of the proton, GeV
+K = 6.4; // Kinetic energy of the proton projectile, GeV
+E_cm = sqrt(2*m_p^2+2*m_p*K); // Centre of mass energy of proton collsion with the fixed proton target, GeV
+Q = 2*m_p - 4*m_p; // Q value of the reaction, GeV
+K_th = -3*Q; // Threshold kinetic energy required to produce the antiprotons, GeV
+K = 1000; // Kinetic energy of the protons in Tevatron, GeV
+E_cm_T = sqrt(2*m_p^2+2*m_p*K); // Centre-of-mass energy available for the reaction for the Tevatron, GeV
+printf("\nThe available energy in the center on mass = %4.2f GeV", E_cm);
+printf("\nThe threshold kinetic energy required to produce the antiprotons = %3.1f GeV", K_th);
+printf("\nThe centre-of-mass energy available for the reaction for the Tevatron = %d GeV", E_cm_T);
+
+// Result
+// The available energy in the center on mass = 3.71 GeV
+// The threshold kinetic energy required to produce the antiprotons = 5.6 GeV
+// The centre-of-mass energy available for the reaction for the Tevatron = 43 GeV
diff --git a/2795/CH14/EX14.11/Ex14_11.sce b/2795/CH14/EX14.11/Ex14_11.sce new file mode 100755 index 000000000..be77695e2 --- /dev/null +++ b/2795/CH14/EX14.11/Ex14_11.sce @@ -0,0 +1,10 @@ +// Scilab Code Ex14.11: Page-550(2014)
+clc; clear;
+m_p = 0.938; // Rest mass energy of the proton, GeV
+E_cm = 14000; // Centre of mass energy of colliding proton beams at LHC, GeV
+// As E_cm = sqrt(2*m_p^2+2*m_p*K), solving for K
+K = E_cm^2*1e+009/(2*m_p); // Approx. kinetic energy of the protons needed for fixed-target experiment, eV
+printf("\nThe kinetic energy of the protons needed for fixed-target experiment = %3.1e eV", K);
+
+// Result
+// The kinetic energy of the protons needed for fixed-target experiment = 1.0e+017 eV
\ No newline at end of file diff --git a/2795/CH14/EX14.2/Ex14_02.sce b/2795/CH14/EX14.2/Ex14_02.sce new file mode 100755 index 000000000..427c8e888 --- /dev/null +++ b/2795/CH14/EX14.2/Ex14_02.sce @@ -0,0 +1,15 @@ +// Scilab Code Ex14.2: Page-525(2014)
+clc; clear;
+e = 1.6e-019; // Energy equivalent of 1 eV, J
+h = 6.62e-034; // Planck's oconstant, Js
+c = 3.00e+008; // For simplicity assume speed of light to be unity
+h_bar = h/(2*%pi); // Reduced Planck's constant, Js
+m_W = 80.4; // Energy equivalent of mass of W- particle, MeV
+R_W = h_bar*c/(2*m_W*e*1e+009); // Range of W- particle, m
+delta_t = h_bar/(2*m_W*e*1e+009); // Time during which the energy conservation is violated, s
+printf("\nThe range of W- particle = %3.1e m", R_W);
+printf("\nThe time during which the energy conservation is violated = %1.0e s", delta_t);
+
+// Result
+// The range of W- particle = 1.2e-018 m
+// The time during which the energy conservation is violated = 4e-027 s
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