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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /446/CH7
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Diffstat (limited to '446/CH7')
-rwxr-xr-x446/CH7/EX7.1/7_1.sce4
-rwxr-xr-x446/CH7/EX7.1/7_1.txt3
-rwxr-xr-x446/CH7/EX7.2/7_2.sce6
-rwxr-xr-x446/CH7/EX7.2/7_2.txt3
-rwxr-xr-x446/CH7/EX7.3/7_3.sce8
-rwxr-xr-x446/CH7/EX7.3/7_3.txt3
-rwxr-xr-x446/CH7/EX7.4/7_4.sce8
-rwxr-xr-x446/CH7/EX7.4/7_4.txt3
-rwxr-xr-x446/CH7/EX7.5/7_5.sce5
-rwxr-xr-x446/CH7/EX7.5/7_5.txt5
-rwxr-xr-x446/CH7/EX7.6/7_6.sce7
-rwxr-xr-x446/CH7/EX7.6/7_6.txt3
-rwxr-xr-x446/CH7/EX7.7/7_7.sce10
-rwxr-xr-x446/CH7/EX7.7/7_7.txt3
14 files changed, 71 insertions, 0 deletions
diff --git a/446/CH7/EX7.1/7_1.sce b/446/CH7/EX7.1/7_1.sce
new file mode 100755
index 000000000..e3a513d89
--- /dev/null
+++ b/446/CH7/EX7.1/7_1.sce
@@ -0,0 +1,4 @@
+clear
+clc
+disp('Exa-7.1'); //The problem is entirely theoretcial.
+printf('The solution obtained is r=4*ao i.e the most likely distance from origin for an electron in n=2,l=1 state.'); \ No newline at end of file
diff --git a/446/CH7/EX7.1/7_1.txt b/446/CH7/EX7.1/7_1.txt
new file mode 100755
index 000000000..6af248da9
--- /dev/null
+++ b/446/CH7/EX7.1/7_1.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.1
+The solution obtained is r=4*ao i.e the most likely distance from origin for an electron in n=2,l=1 state. \ No newline at end of file
diff --git a/446/CH7/EX7.2/7_2.sce b/446/CH7/EX7.2/7_2.sce
new file mode 100755
index 000000000..2375d12c8
--- /dev/null
+++ b/446/CH7/EX7.2/7_2.sce
@@ -0,0 +1,6 @@
+clear
+clc
+disp('Exa-7.2');
+// calculating radial probability P= (4/ao^3)*inegral(r^2 * e^(-2r/ao)) between the limits 0 and ao for r
+Pr=integrate('((x^2)*%e^(-x))/2','x',0,2);// simplifying where as x=2*r/a0; hence the limits change between 0 to 2
+printf('Hence the probability of finding the electron nearer to nucleus is %.3f',Pr);
diff --git a/446/CH7/EX7.2/7_2.txt b/446/CH7/EX7.2/7_2.txt
new file mode 100755
index 000000000..8f879fdee
--- /dev/null
+++ b/446/CH7/EX7.2/7_2.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.2
+Hence the probability of finding the electron nearer to nucleus is 0.323 \ No newline at end of file
diff --git a/446/CH7/EX7.3/7_3.sce b/446/CH7/EX7.3/7_3.sce
new file mode 100755
index 000000000..facfef7fe
--- /dev/null
+++ b/446/CH7/EX7.3/7_3.sce
@@ -0,0 +1,8 @@
+clear
+clc
+disp('Exa-7.3');
+//for l=0;
+// employing the formula for probability distribution similarly as done in Exa-7.2
+Pr1= integrate('(1/8)*((4*x^2)-(4*x^3)+(x^4))*%e^(-x)','x',0,1); //x=r/ao; similrly limits between 0 and 1.
+Pr2=integrate('(1/24)*(x^4)*(%e^-x)','x',0,1); //x=r/ao; similrly limits between 0 and 1.
+printf('The probability for l=0 electron is %.3f and for l=1 electron is %.4f.',Pr1,Pr2);
diff --git a/446/CH7/EX7.3/7_3.txt b/446/CH7/EX7.3/7_3.txt
new file mode 100755
index 000000000..07bc874c5
--- /dev/null
+++ b/446/CH7/EX7.3/7_3.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.3
+The probability for l=0 electron is 0.034 and for l=1 electron is 0.0037. \ No newline at end of file
diff --git a/446/CH7/EX7.4/7_4.sce b/446/CH7/EX7.4/7_4.sce
new file mode 100755
index 000000000..a0ca80f4c
--- /dev/null
+++ b/446/CH7/EX7.4/7_4.sce
@@ -0,0 +1,8 @@
+clear
+clc
+disp('Exa-7.4');
+l=1; //given value of l
+am1=sqrt(l*(l+1)); //angular momentum==sqrt(l(l+1)) h
+l=2 //given l
+am2=sqrt(l*(l+1));
+printf('The angular momenta are found out to be %.3f h and %.3f h respectively for l=1 and l=2.',am1,am2);
diff --git a/446/CH7/EX7.4/7_4.txt b/446/CH7/EX7.4/7_4.txt
new file mode 100755
index 000000000..37dee9be0
--- /dev/null
+++ b/446/CH7/EX7.4/7_4.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.4
+The angular momenta are found out to be 1.414 h and 2.449 h respectively for l=1 and l=2. \ No newline at end of file
diff --git a/446/CH7/EX7.5/7_5.sce b/446/CH7/EX7.5/7_5.sce
new file mode 100755
index 000000000..84ee3c58b
--- /dev/null
+++ b/446/CH7/EX7.5/7_5.sce
@@ -0,0 +1,5 @@
+clear
+clc
+disp('Exa-7.5'); //Thoretical question
+disp('The possible values for m are [+2,-2] and hence any of the 5 components [-2h,2h] are possible for the L vector.');
+printf('Length of the vector as found out previously is %.2f*h.',sqrt(6));//angular momentum==sqrt(l(l+1)) h \ No newline at end of file
diff --git a/446/CH7/EX7.5/7_5.txt b/446/CH7/EX7.5/7_5.txt
new file mode 100755
index 000000000..151a7d1d0
--- /dev/null
+++ b/446/CH7/EX7.5/7_5.txt
@@ -0,0 +1,5 @@
+
+ Exa-7.5
+
+ The possible values for m are [+2,-2] and hence any of the 5 components [-2h,2h] are possible for the L vector.
+Length of the vector as found out previously is 2.45*h. \ No newline at end of file
diff --git a/446/CH7/EX7.6/7_6.sce b/446/CH7/EX7.6/7_6.sce
new file mode 100755
index 000000000..4cd3be88a
--- /dev/null
+++ b/446/CH7/EX7.6/7_6.sce
@@ -0,0 +1,7 @@
+clear
+clc
+disp('Exa-7.6');
+uz=9.27*10^-24; t=1.4*10^3; x=3.5*10^-2; //various constants and given values
+m=1.8*10^-25;v=750; // mass and velocity of the particle
+d=(uz*t*(x^2))/(m*(v^2)); //net separtion
+printf('The distance of separation is %.2f mm',d*10^3);
diff --git a/446/CH7/EX7.6/7_6.txt b/446/CH7/EX7.6/7_6.txt
new file mode 100755
index 000000000..c79d9ff8f
--- /dev/null
+++ b/446/CH7/EX7.6/7_6.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.6
+The distance of separation is 0.16 mm \ No newline at end of file
diff --git a/446/CH7/EX7.7/7_7.sce b/446/CH7/EX7.7/7_7.sce
new file mode 100755
index 000000000..80294ea9f
--- /dev/null
+++ b/446/CH7/EX7.7/7_7.sce
@@ -0,0 +1,10 @@
+clear
+clc
+disp('Exa-7.7');
+n1=1;n2=2;hc=1240; //hc=1240 eV.nm
+E=(-13.6)*((1/n2^2)-(1/n1^2)); //Energy calcuation
+w=hc/E; //wavelength
+u=9.27*10^-24; B=2; //constants
+delE= u*B/(1.6*10^-19); //change in energy
+delw=((w^2/hc))*delE; //change in wavelength
+printf('The change in wavelength is %.5f nm.',delw); \ No newline at end of file
diff --git a/446/CH7/EX7.7/7_7.txt b/446/CH7/EX7.7/7_7.txt
new file mode 100755
index 000000000..d44ba5bfc
--- /dev/null
+++ b/446/CH7/EX7.7/7_7.txt
@@ -0,0 +1,3 @@
+
+ Exa-7.7
+The change in wavelength is 0.00138 nm \ No newline at end of file