diff options
Diffstat (limited to '1271/CH15/EX15.20')
-rwxr-xr-x | 1271/CH15/EX15.20/20.txt | 13 | ||||
-rwxr-xr-x | 1271/CH15/EX15.20/example15_20.sce | 20 |
2 files changed, 33 insertions, 0 deletions
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) |