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author | priyanka | 2015-06-24 15:03:17 +0530 |
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committer | priyanka | 2015-06-24 15:03:17 +0530 |
commit | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch) | |
tree | ab291cffc65280e58ac82470ba63fbcca7805165 /1271/CH15 | |
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initial commit / add all books
Diffstat (limited to '1271/CH15')
44 files changed, 489 insertions, 0 deletions
diff --git a/1271/CH15/EX15.1/1.txt b/1271/CH15/EX15.1/1.txt new file mode 100755 index 000000000..bdab25e42 --- /dev/null +++ b/1271/CH15/EX15.1/1.txt @@ -0,0 +1,5 @@ +# PROBLEM 1 #
+Standard formula used
+ p = (2 * m * E * e)^(1/2)
+
+ Percentage of uncertainty in momentum is 3.087112.
diff --git a/1271/CH15/EX15.1/example15_1.sce b/1271/CH15/EX15.1/example15_1.sce new file mode 100755 index 000000000..d53f7a3a1 --- /dev/null +++ b/1271/CH15/EX15.1/example15_1.sce @@ -0,0 +1,15 @@ +clc +// Given that +E = 1000 // energy of electron in eV +delta_x = 1e-10 // error in position in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 1 on page no. 15.24 +printf("\n # PROBLEM 1 # \n") +printf("Standard formula used \n") +printf(" p = (2 * m * E * e)^(1/2) \n") +p = sqrt(2 * m * E * e) +delta_p = h / (4 * %pi * delta_x) +P = (delta_p / p) * 100 +printf("\n Percentage of uncertainty in momentum is %f.",P) diff --git a/1271/CH15/EX15.10/10.txt b/1271/CH15/EX15.10/10.txt new file mode 100755 index 000000000..7f5b4e146 --- /dev/null +++ b/1271/CH15/EX15.10/10.txt @@ -0,0 +1,6 @@ + # PROBLEM 10 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+ m = m_0/(1-(v^2/c^2))^1/2
+
+ Uncertainty in determining the position is 1.920008e-12 m.
diff --git a/1271/CH15/EX15.10/example15_10.sce b/1271/CH15/EX15.10/example15_10.sce new file mode 100755 index 000000000..64240c193 --- /dev/null +++ b/1271/CH15/EX15.10/example15_10.sce @@ -0,0 +1,14 @@ +clc +// Given that +v = 3e7 // speed of electron in m/sec +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +c = 3e8 // speed of light in m/sec +// Sample Problem 10 on page no. 15.28 +printf("\n # PROBLEM 10 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n m = m_0/(1-(v^2/c^2))^1/2 \n") +delta_p = m * v / sqrt(1 - (v/c)^2) +delta_x = h / (4 * %pi * delta_p) +printf("\n Uncertainty in determining the position is %e m.",delta_x) diff --git a/1271/CH15/EX15.11/11.txt b/1271/CH15/EX15.11/11.txt new file mode 100755 index 000000000..6f36301bc --- /dev/null +++ b/1271/CH15/EX15.11/11.txt @@ -0,0 +1,5 @@ + # PROBLEM 11 #
+Standard formula used
+ del_E*del_t = h/(4*pi)
+
+ Minimum error in measurement of the energy is 2.107211e-21 J.
diff --git a/1271/CH15/EX15.11/example15_11.sce b/1271/CH15/EX15.11/example15_11.sce new file mode 100755 index 000000000..21c86c689 --- /dev/null +++ b/1271/CH15/EX15.11/example15_11.sce @@ -0,0 +1,10 @@ +clc +// Given that +t = 2.5e-14 // life time of hydrogen atom in exited state in sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 11 on page no. 15.28 +printf("\n # PROBLEM 11 # \n") +printf("Standard formula used \n") +printf(" del_E*del_t = h/(4*pi) \n") +delta_E = h / (4 * %pi * t) +printf("\n Minimum error in measurement of the energy is %e J.",delta_E) diff --git a/1271/CH15/EX15.12/12.txt b/1271/CH15/EX15.12/12.txt new file mode 100755 index 000000000..dedd6f63a --- /dev/null +++ b/1271/CH15/EX15.12/12.txt @@ -0,0 +1,5 @@ +# PROBLEM 12 #
+Standard formula used
+ del_E*del_t = h/(4*pi)
+
+ Minimum uncertainty in frequency is 7.957747e+06 Hz.
diff --git a/1271/CH15/EX15.12/example15_12.sce b/1271/CH15/EX15.12/example15_12.sce new file mode 100755 index 000000000..783568c12 --- /dev/null +++ b/1271/CH15/EX15.12/example15_12.sce @@ -0,0 +1,10 @@ +clc +// Given that +t = 10^-8 // life time of atom in exited state in sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 12 on page no. 15.28 +printf("\n # PROBLEM 12 # \n") +printf("Standard formula used \n") +printf(" del_E*del_t = h/(4*pi) \n") +delta_f = 1 / (4 * %pi * t) +printf("\n Minimum uncertainty in frequency is %e Hz.",delta_f) diff --git a/1271/CH15/EX15.13/13.txt b/1271/CH15/EX15.13/13.txt new file mode 100755 index 000000000..621fa9bbf --- /dev/null +++ b/1271/CH15/EX15.13/13.txt @@ -0,0 +1,5 @@ + # PROBLEM 13 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Ratio of uncertainty in velocity of a proton and an electron is 5.449102e-04.
diff --git a/1271/CH15/EX15.13/example15_13.sce b/1271/CH15/EX15.13/example15_13.sce new file mode 100755 index 000000000..d143c250c --- /dev/null +++ b/1271/CH15/EX15.13/example15_13.sce @@ -0,0 +1,16 @@ +clc +// Given that +delta_x = 20e-10 // uncertainty in position in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +m_ = 1.67e-27 // mass of proton in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 13 on page no. 15.29 +printf("\n # PROBLEM 13 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_v1 = h / (4 * %pi * m * delta_x) +delta_v2 = h / (4 * %pi * m_ * delta_x) +r = delta_v2 / delta_v1 +printf("\n Ratio of uncertainty in velocity of a proton and an electron is %e. ",r) diff --git a/1271/CH15/EX15.14/14.txt b/1271/CH15/EX15.14/14.txt new file mode 100755 index 000000000..f9fb1f865 --- /dev/null +++ b/1271/CH15/EX15.14/14.txt @@ -0,0 +1,7 @@ + # PROBLEM 14 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Energy of electron -
+ For (n=1) energy is 6.019835e-18 J.
+ For (n=2) energy is 2.407934e-17 J.
diff --git a/1271/CH15/EX15.14/example15_14.sce b/1271/CH15/EX15.14/example15_14.sce new file mode 100755 index 000000000..cb6232c50 --- /dev/null +++ b/1271/CH15/EX15.14/example15_14.sce @@ -0,0 +1,16 @@ +clc +// Given that +delta_x = 1e-10 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 14 on page no. 15.29 +printf("\n # PROBLEM 14 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +n = 1 // for n=1 +E = (n^2 * h^2) / (8 * m * delta_x^2) +n = 2 // for n=2 +E_ = (n^2 * h^2) / (8 * m * delta_x^2) +printf("\n Energy of electron - \n For (n=1) energy is %e J.\n For (n=2) energy is %e J.",E,E_) diff --git a/1271/CH15/EX15.15/15.txt b/1271/CH15/EX15.15/15.txt new file mode 100755 index 000000000..bb880f3ef --- /dev/null +++ b/1271/CH15/EX15.15/15.txt @@ -0,0 +1,5 @@ + # PROBLEM 15 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Energy difference is 1.805951e-17 J.
diff --git a/1271/CH15/EX15.15/example15_15.sce b/1271/CH15/EX15.15/example15_15.sce new file mode 100755 index 000000000..9746207c0 --- /dev/null +++ b/1271/CH15/EX15.15/example15_15.sce @@ -0,0 +1,17 @@ +clc +// Given that +l = 1e-10 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 15 on page no. 15.30 +printf("\n # PROBLEM 15 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +n = 1 // for n=1 +E = (n^2 * h^2) / (8 * m * l^2) +n = 2 // for n=2 +E_ = (n^2 * h^2) / (8 * m * l^2) +d = E_ - E +printf("\n Energy difference is %e J.",d) diff --git a/1271/CH15/EX15.16/16.txt b/1271/CH15/EX15.16/16.txt new file mode 100755 index 000000000..43d9f5576 --- /dev/null +++ b/1271/CH15/EX15.16/16.txt @@ -0,0 +1,8 @@ + # PROBLEM 16 #
+Standard Formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Energy of electron -
+ For (n=1) is 6.688706e-19 J.
+ For (n=2) is 2.675482e-18 J.
+ For (n=3) is 6.019835e-18 J.
diff --git a/1271/CH15/EX15.16/example15_16.sce b/1271/CH15/EX15.16/example15_16.sce new file mode 100755 index 000000000..f53857a6d --- /dev/null +++ b/1271/CH15/EX15.16/example15_16.sce @@ -0,0 +1,18 @@ +clc +// Given that +l = 3e-10 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 16 on page no. 15.30 +printf("\n # PROBLEM 16 # \n") +printf("Standard Formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +n = 1 // For n=1 +E = (n^2 * h^2) / (8 * m * l^2) +n = 2 // For n=2 +E_ = (n^2 * h^2) / (8 * m * l^2) +n = 3 // For n=3 +E__ = (n^2 * h^2) / (8 * m * l^2) +printf("\n Energy of electron -\n For (n=1) is %e J.\n For (n=2) is %e J.\n For (n=3) is %e J.",E,E_,E__) diff --git a/1271/CH15/EX15.17/17.txt b/1271/CH15/EX15.17/17.txt new file mode 100755 index 000000000..5382703e1 --- /dev/null +++ b/1271/CH15/EX15.17/17.txt @@ -0,0 +1,7 @@ + # PROBLEM 17 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Energy of electron -
+ For (n=1) is 9.631736e-19 J.
+ For (n=2) is 3.852695e-18 J.
diff --git a/1271/CH15/EX15.17/example15_17.sce b/1271/CH15/EX15.17/example15_17.sce new file mode 100755 index 000000000..d431d3aac --- /dev/null +++ b/1271/CH15/EX15.17/example15_17.sce @@ -0,0 +1,16 @@ +clc +// Given that +l = 2.5e-10 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 17 on page no. 15.30 +printf("\n # PROBLEM 17 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +n = 1 // for n=1 +E = (n^2 * h^2) / (8 * m * l^2) +n = 2 // for n=2 +E_ = (n^2 * h^2) / (8 * m * l^2) +printf("\n Energy of electron -\n For (n=1) is %e J.\n For (n=2) is %e J.",E,E_) diff --git a/1271/CH15/EX15.18/18.txt b/1271/CH15/EX15.18/18.txt new file mode 100755 index 000000000..20c190a97 --- /dev/null +++ b/1271/CH15/EX15.18/18.txt @@ -0,0 +1,5 @@ +# PROBLEM 18 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Lowest energy of neutron confined in the nucleus is 3.280269e-13 J.
diff --git a/1271/CH15/EX15.18/example15_18.sce b/1271/CH15/EX15.18/example15_18.sce new file mode 100755 index 000000000..2770faa06 --- /dev/null +++ b/1271/CH15/EX15.18/example15_18.sce @@ -0,0 +1,14 @@ +clc +// Given that +l = 1e-14 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 1.67e-27 // mass of neutron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 18 on page no. 15.31 +printf("\n # PROBLEM 18 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +n = 1 // for n=1 +E = (n^2 * h^2) / (8 * m * l^2) +printf("\n Lowest energy of neutron confined in the nucleus is %e J.",E) diff --git a/1271/CH15/EX15.19/19.txt b/1271/CH15/EX15.19/19.txt new file mode 100755 index 000000000..642b1ea4a --- /dev/null +++ b/1271/CH15/EX15.19/19.txt @@ -0,0 +1,11 @@ + # PROBLEM 19 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+ p_n = n*h/(2*pi)
+
+ Energy of electron -
+ For (n=1) is 6.019835e-18 J.
+ For (n=2) is 2.407934e-17 J.
+ Momentum of electron -
+ For (n=1) is 3.310000e-24 kg-m/sec.
+ For (n=2) is 6.620000e-24 kg-m/sec.
diff --git a/1271/CH15/EX15.19/example15_19.sce b/1271/CH15/EX15.19/example15_19.sce new file mode 100755 index 000000000..afab4774e --- /dev/null +++ b/1271/CH15/EX15.19/example15_19.sce @@ -0,0 +1,18 @@ +clc +// Given that +l = 1e-10 // width of box in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.63e-34 // Planck constant in J-sec +// Sample Problem 19 on page no. 15.31 +printf("\n # PROBLEM 19 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n p_n = n*h/(2*pi) \n") +n = 1 // for n=1 +p1 = (n * h) / (2 * l) +E = (n^2 * h^2) / (8 * m * l^2) +n = 2 // for n=2 +p2 = (n * h) / (2 * l) +E_ = (n^2 * h^2) / (8 * m * l^2) +printf("\n Energy of electron -\n For (n=1) is %e J.\n For (n=2) is %e J.\n Momentum of electron -\n For (n=1) is %e kg-m/sec.\n For (n=2) is %e kg-m/sec.",E,E_,p1,p2) diff --git a/1271/CH15/EX15.20/20.txt b/1271/CH15/EX15.20/20.txt new file mode 100755 index 000000000..ac0a5174f --- /dev/null +++ b/1271/CH15/EX15.20/20.txt @@ -0,0 +1,13 @@ + # PROBLEM 20 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+ p_n = n*h/(2*pi)
+
+ Energy Eigen value of electron -
+ For (n=1) is 6.019835e-18 J.
+ For (n=2) is 2.407934e-17 J.
+ For (n=3) is 5.417852e-17 J.
+de-Broglie wavelength of electron -
+ For (n=1) is 2.000000 A.
+ For (n=2) is 1.000000 A.
+ For (n=3) is 0.666667 A
diff --git a/1271/CH15/EX15.20/example15_20.sce b/1271/CH15/EX15.20/example15_20.sce new file mode 100755 index 000000000..a0d7ff454 --- /dev/null +++ b/1271/CH15/EX15.20/example15_20.sce @@ -0,0 +1,20 @@ +clc +// Given that +l = 1e-10 // length of box in m +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 20 on page no. 15.32 +printf("\n # PROBLEM 20 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n p_n = n*h/(2*pi) \n") +n = 1 // for n=1 +E1 = (n^2 * h^2) / (8 * m * l^2) +lambda1 =2*l +n = 2 // for n=2 +E2 = (n^2 * h^2) / (8 * m * l^2) +lambda2 =2*l/2 +n = 3 // for n=3 +E3 = (n^2 * h^2) / (8 * m * l^2) +lambda3 =2*l/3 +printf("\n Energy Eigen value of electron -\n For (n=1) is %e J.\n For (n=2) is %e J.\n For (n=3) is %e J. \nde-Broglie wavelength of electron -\n For (n=1) is %f A.\n For (n=2) is %f A. \n For (n=3) is %f A",E1,E2,E3,lambda1*1e10,lambda2*1e10,lambda3*1e10) diff --git a/1271/CH15/EX15.21/21.txt b/1271/CH15/EX15.21/21.txt new file mode 100755 index 000000000..0e700d524 --- /dev/null +++ b/1271/CH15/EX15.21/21.txt @@ -0,0 +1,8 @@ + # PROBLEM 21 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+
+ Energy Eigen values -
+ For (n=2) for 80.000000 eV.
+ For (n=3) is 180.000000 eV.
+ For (n=4) is 320.000000 eV.
diff --git a/1271/CH15/EX15.21/example15_21.sce b/1271/CH15/EX15.21/example15_21.sce new file mode 100755 index 000000000..bcd2d5560 --- /dev/null +++ b/1271/CH15/EX15.21/example15_21.sce @@ -0,0 +1,19 @@ +clc +// Given that +E1 = 3.2e-18 // minimum energy possible for a particle entrapped in a one dimensional box in J +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 21 on page no. 15.32 +printf("\n # PROBLEM 21 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n") +E1 = E1 / e // in eV +n = 2 // for n=2 +E2 = n^2 * E1 +n = 3 // for n=3 +E3 = n^2 * E1 +n = 4 // for n=4 +E4 = n^2 * E1 +printf("\n Energy Eigen values -\n For (n=2) for %f eV.\n For (n=3) is %f eV.\n For (n=4) is %f eV.",E2,E3,E4) diff --git a/1271/CH15/EX15.22/22.txt b/1271/CH15/EX15.22/22.txt new file mode 100755 index 000000000..2b3140247 --- /dev/null +++ b/1271/CH15/EX15.22/22.txt @@ -0,0 +1,8 @@ + +# PROBLEM 22 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+ p_n = n*h/(2*pi)
+
+ Order of exited state is 16.
+ Momentum of electron is 1.326216e-23 kg-m/sec.
\ No newline at end of file diff --git a/1271/CH15/EX15.22/example15_22.sce b/1271/CH15/EX15.22/example15_22.sce new file mode 100755 index 000000000..ad7c5b3eb --- /dev/null +++ b/1271/CH15/EX15.22/example15_22.sce @@ -0,0 +1,18 @@ + +clc +// Given that +l = 4e-10 // width of box in m +E = 9.664e-17 // energy of electron in J +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 22 on page no. 15.33 +printf("\n # PROBLEM 22 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n p_n = n*h/(2*pi) \n") +n = 1 // for n=1 +E1 = (n^2 * h^2) / (8 * m * l^2) +N = sqrt(E / E1) +p = ((N) * h) / (2 * l) +printf("\n Order of exited state is %d.\n Momentum of electron is %e kg-m/sec.",N,p) diff --git a/1271/CH15/EX15.23/23.txt b/1271/CH15/EX15.23/23.txt new file mode 100755 index 000000000..3f2251d7d --- /dev/null +++ b/1271/CH15/EX15.23/23.txt @@ -0,0 +1,14 @@ + # PROBLEM 23 #
+Standard formula used
+ E = (n^2 * h^2) / (8 * m * L^2))
+ p_n = n*h/(2*pi)
+
+ Energy levels of electron
+ For (n=1) is 6.019835e-20 J.
+ For (n=2) is 2.407934e-19 J.
+ For (n=3) is 5.417852e-19 J.
+ Energy levels of marble
+ For (n=1) is 1.369512e-63 J.
+ For (n=2) is 5.478050e-63 J.
+ For (n=3) is 1.232561e-62 J.
+ It is clear that the levels in case of marble are very small and are nearly zero. So it is not possible to measure them experimentally.
diff --git a/1271/CH15/EX15.23/example15_23.sce b/1271/CH15/EX15.23/example15_23.sce new file mode 100755 index 000000000..81e5fcd9d --- /dev/null +++ b/1271/CH15/EX15.23/example15_23.sce @@ -0,0 +1,25 @@ +clc +// Given that +l = 10e-10 // width of box containing electron in m +E = 9.664e-17 // energy of electron in J +M = 0.001 // mass of glass marble in kg +l_ = 0.2 // width of box containing marble in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +c = 3e8 // speed of light in m/sec +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 23 on page no. 15.33 +printf("\n # PROBLEM 23 # \n") +printf("Standard formula used \n") +printf(" E = (n^2 * h^2) / (8 * m * L^2)) \n p_n = n*h/(2*pi) \n") +// For electron +n = 1 // for n=1 +E1 = (n^2 * h^2) / (8 * m * l^2) +E2 = 2^2* E1 +E3 = 3^2 * E1 +// For glass marble +E1_ = h^2/(8*M*l_^2) +E2_ = 2^2 * E1_ +E3_ = 3^2 *E1_ +printf("\n Energy levels of electron \n For (n=1) is %e J.\n For (n=2) is %e J.\n For (n=3) is %e J.\n Energy levels of marble \n For (n=1) is %e J.\n For (n=2) is %e J.\n For (n=3) is %e J.",E1,E2,E3,E1_,E2_,E3_) +printf("\n It is clear that the levels in case of marble are very small and are nearly zero. So it is not possible to measure them experimentally.") diff --git a/1271/CH15/EX15.3/3.txt b/1271/CH15/EX15.3/3.txt new file mode 100755 index 000000000..3d9ee8aea --- /dev/null +++ b/1271/CH15/EX15.3/3.txt @@ -0,0 +1,5 @@ + # PROBLEM 3 #
+Standard formula used
+ p = (2 * m * E * e)^(1/2)
+
+ Percentage of uncertainty in momentum is 2.182918.
diff --git a/1271/CH15/EX15.3/example15_3.sce b/1271/CH15/EX15.3/example15_3.sce new file mode 100755 index 000000000..92dab807c --- /dev/null +++ b/1271/CH15/EX15.3/example15_3.sce @@ -0,0 +1,15 @@ +clc +// Given that +E = 500 // energy of electron in eV +delta_x = 2e-10 // error in position in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 3 on page no. 15.25 +printf("\n # PROBLEM 3 # \n") +printf("Standard formula used \n") +printf(" p = (2 * m * E * e)^(1/2) \n") +p = sqrt(2 * m * E * e) +delta_p = h / (4 * %pi * delta_x) +P = (delta_p / p) * 100 +printf("\n Percentage of uncertainty in momentum is %f.",P) diff --git a/1271/CH15/EX15.4/4.txt b/1271/CH15/EX15.4/4.txt new file mode 100755 index 000000000..ab82b0f62 --- /dev/null +++ b/1271/CH15/EX15.4/4.txt @@ -0,0 +1,5 @@ + # PROBLEM 4 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Uncertainty in position is 7.957747 micrometre.
diff --git a/1271/CH15/EX15.4/example15_4.sce b/1271/CH15/EX15.4/example15_4.sce new file mode 100755 index 000000000..b0ab42559 --- /dev/null +++ b/1271/CH15/EX15.4/example15_4.sce @@ -0,0 +1,11 @@ +clc +// Given that +delta_lambda = 1e-6 // accuracy in wavelength of its one part +lambda = 1e-10 // wavelength of x-ray in m +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 4 on page no. 15.25 +printf("\n # PROBLEM 4 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_x = lambda / (4 * %pi * delta_lambda) +printf("\n Uncertainty in position is %f micrometer.",delta_x*10^6) diff --git a/1271/CH15/EX15.5/5.txt b/1271/CH15/EX15.5/5.txt new file mode 100755 index 000000000..445fef638 --- /dev/null +++ b/1271/CH15/EX15.5/5.txt @@ -0,0 +1,5 @@ + # PROBLEM 5 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Uncertainty in momentum is 5.268029e-25 kgm/sec.
diff --git a/1271/CH15/EX15.5/example15_5.sce b/1271/CH15/EX15.5/example15_5.sce new file mode 100755 index 000000000..134e1e527 --- /dev/null +++ b/1271/CH15/EX15.5/example15_5.sce @@ -0,0 +1,12 @@ +clc +// Given that +delta_x = 1e-10 // error in position in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 5 on page no. 15.26 +printf("\n # PROBLEM 5 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_p = h / (4 * %pi * delta_x) +printf("\n Uncertainty in momentum is %e kg m/sec.",delta_p) diff --git a/1271/CH15/EX15.6/6.txt b/1271/CH15/EX15.6/6.txt new file mode 100755 index 000000000..7eff582a9 --- /dev/null +++ b/1271/CH15/EX15.6/6.txt @@ -0,0 +1,5 @@ + # PROBLEM 6 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Uncertainty in position is 1.951122 micrometre.
diff --git a/1271/CH15/EX15.6/example15_6.sce b/1271/CH15/EX15.6/example15_6.sce new file mode 100755 index 000000000..a4b285edf --- /dev/null +++ b/1271/CH15/EX15.6/example15_6.sce @@ -0,0 +1,14 @@ +clc +// Given that +M = 5.4e-26 // momentum of electron in kg-m/sec +p = 0.05 // percentage accuracy in momentum +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 6 on page no. 15.26 +printf("\n # PROBLEM 6 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_m = p * M / 100 +delta_x = h / (4 * %pi * delta_m) +printf("\n Uncertainty in position is %f micrometre.",delta_x * 10^6) diff --git a/1271/CH15/EX15.7/7.txt b/1271/CH15/EX15.7/7.txt new file mode 100755 index 000000000..f358e6371 --- /dev/null +++ b/1271/CH15/EX15.7/7.txt @@ -0,0 +1,6 @@ + # PROBLEM 7 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+ p = (2 * m * E * e)^(1/2)
+
+ Minimum energy of electron is 5.428416e-19 J.
diff --git a/1271/CH15/EX15.7/example15_7.sce b/1271/CH15/EX15.7/example15_7.sce new file mode 100755 index 000000000..d4499a9d6 --- /dev/null +++ b/1271/CH15/EX15.7/example15_7.sce @@ -0,0 +1,13 @@ +clc +// Given that +r = 0.53e-10 // radius of hydrogen atom in m +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 7 on page no. 15.27 +printf("\n # PROBLEM 7 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n p = (2 * m * E * e)^(1/2) \n") +delta_M = h / (4 * %pi * r) +delta_k = delta_M^2 / (2 * m) +printf("\n Minimum energy of electron is %e J.",delta_k) diff --git a/1271/CH15/EX15.8/8.txt b/1271/CH15/EX15.8/8.txt new file mode 100755 index 000000000..e6d469803 --- /dev/null +++ b/1271/CH15/EX15.8/8.txt @@ -0,0 +1,5 @@ + # PROBLEM 8 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Uncertainty in determining the position of electron is 3.859362e-04 m.
diff --git a/1271/CH15/EX15.8/example15_8.sce b/1271/CH15/EX15.8/example15_8.sce new file mode 100755 index 000000000..79950f1af --- /dev/null +++ b/1271/CH15/EX15.8/example15_8.sce @@ -0,0 +1,15 @@ +clc +// Given that +v = 5e3 // speed of electron in m/sec +a = 0.003 // percentage accuracy in measurement of speed +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.62e-34 // Planck constant in J-sec +// Sample Problem 8 on page no. 15.27 +printf("\n # PROBLEM 8 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_v = v * a / 100 +delta_p = m * delta_v +delta_x = h / (4 * %pi * delta_p) +printf("\n Uncertainty in determining the position of electron is %e m.",delta_x) diff --git a/1271/CH15/EX15.9/9.txt b/1271/CH15/EX15.9/9.txt new file mode 100755 index 000000000..b37055ddf --- /dev/null +++ b/1271/CH15/EX15.9/9.txt @@ -0,0 +1,5 @@ + # PROBLEM 9 #
+Standard formula used
+ del_x*del_p = h/(4*pi)
+
+ Uncertainty in determining the position is 8.771276e-06 m.
diff --git a/1271/CH15/EX15.9/example15_9.sce b/1271/CH15/EX15.9/example15_9.sce new file mode 100755 index 000000000..19e6d93bc --- /dev/null +++ b/1271/CH15/EX15.9/example15_9.sce @@ -0,0 +1,15 @@ +clc +// Given that +v = 6.6e4 // speed of electron in m/sec +a = 0.01 // percentage accuracy in measurement of speed +e = 1.6e-19 // charge on an electron in C +m = 9.1e-31 // mass of electron in kg +h = 6.6e-34 // Planck constant in J-sec +// Sample Problem 9 on page no. 15.27 +printf("\n # PROBLEM 9 # \n") +printf("Standard formula used \n") +printf(" del_x*del_p = h/(4*pi) \n") +delta_v = v * a / 100 +delta_p = m * delta_v +delta_x = h / (4 * %pi * delta_p) +printf("\n Uncertainty in determining the position is %e m.",delta_x) |