diff options
Diffstat (limited to '3701/CH7')
| -rw-r--r-- | 3701/CH7/EX7.4/Ex7_4.sce | 18 | ||||
| -rw-r--r-- | 3701/CH7/EX7.5/Ex7_5.sce | 18 | ||||
| -rw-r--r-- | 3701/CH7/EX7.7/Ex7_7.sce | 17 | ||||
| -rw-r--r-- | 3701/CH7/EX7.8/Ex7_8.sce | 18 | ||||
| -rw-r--r-- | 3701/CH7/EX7.9/Ex7_9.sce | 11 |
5 files changed, 82 insertions, 0 deletions
diff --git a/3701/CH7/EX7.4/Ex7_4.sce b/3701/CH7/EX7.4/Ex7_4.sce new file mode 100644 index 000000000..ee3462aaa --- /dev/null +++ b/3701/CH7/EX7.4/Ex7_4.sce @@ -0,0 +1,18 @@ +////Given
+m=9.1*10**-31 //Kg
+h=1.05*10**-34 //Js
+ev=1.6*10**-19
+n1=1
+n2=2
+n3=3
+a=10**-10 //m
+
+//Calculation
+//
+E1=((n1**2*%pi**2*h**2)/(8.0*m*a**2))/(1.6*10**-19) //ev
+E2=n2**2*E1
+E3=n3**2*E1
+
+//Result
+printf("\n \n three lowest energy levels are %0.1f ev %0.1f ev and %0.2f ev",E1,E2,E3)
+printf("\n their eigenfunctions are 1/10**-5*cos(pie*x/2*10**-10),1/10**-5*sin(pie*x/10**-10) and 1/10**-5*cos(3*pie*x/2*10**-10)")
diff --git a/3701/CH7/EX7.5/Ex7_5.sce b/3701/CH7/EX7.5/Ex7_5.sce new file mode 100644 index 000000000..63b92940e --- /dev/null +++ b/3701/CH7/EX7.5/Ex7_5.sce @@ -0,0 +1,18 @@ +////Given
+m=10.0*10**-3 //kgram
+l= 10.0*10**-2 //Length in m
+h=1.054*10**-34
+n1=1
+n2=2
+n3=3
+
+//Calculation
+E1=(((3.14*h*n1)**2)/(2.0*m*(l**2)))/(1.6*10**-19)
+E2=(((3.14*h*n2)**2)/(2.0*m*(l**2)))/(1.6*10**-19)
+E3=(((3.14*h*n3)**2)/(2.0*m*(l**2)))/(1.6*10**-19)
+
+//Result
+printf("\n energies are %e ev ,%e ev, %e ev",E1,E2,E3)
+printf("\n these energies are extremely small and close together and hence cant be measured")
+printf("\nthe answers vary due to round off error")
+
diff --git a/3701/CH7/EX7.7/Ex7_7.sce b/3701/CH7/EX7.7/Ex7_7.sce new file mode 100644 index 000000000..7f1db54dc --- /dev/null +++ b/3701/CH7/EX7.7/Ex7_7.sce @@ -0,0 +1,17 @@ +////Given
+L=10**-9 //Width in m
+v=9.0*10**-9
+h=1.054*10**-34 //Js
+c=3*10**8 //m/s
+m=9.1*10**-31
+v1=(9.0+1)*10**-9
+v2=(9.0-1)*10**-9
+
+//Calculation
+//
+n=sqrt((4*c*m*(L**2))/(v*%pi*h))
+n1=sqrt((4*c*m*(L**2))/(v1*%pi*h))
+n2=sqrt((4*c*m*(L**2))/(v2*%pi*h))
+
+//Result
+printf("\n value of n is %0.0f When + sign is taken %0.0f when -ve sign is taken %0.0f ",n,n2,n1)
diff --git a/3701/CH7/EX7.8/Ex7_8.sce b/3701/CH7/EX7.8/Ex7_8.sce new file mode 100644 index 000000000..8ef4b0c18 --- /dev/null +++ b/3701/CH7/EX7.8/Ex7_8.sce @@ -0,0 +1,18 @@ +////Given
+L1=0.4
+L2=0.6
+L=1 //Say
+
+//Calculation
+//
+dx=(L2-L1)*L
+P1=2/L*(sin(%pi*L/2.0*L))**2*dx
+//for first excited state
+P2=2/L*(sin(2*%pi*L/2.0*L))**2*dx
+//for second excited state
+P3=2/L*(sin(3*%pi*L/2.0*L))**2*dx
+
+//Result
+printf("\n (a) probability for ground state %0.3f ", P1)
+printf("\n (b) probability for first excited state %0.1f ",P2)
+printf("\n (c) Probability for second excited state %0.3f ", P3)
diff --git a/3701/CH7/EX7.9/Ex7_9.sce b/3701/CH7/EX7.9/Ex7_9.sce new file mode 100644 index 000000000..af9eb0ca6 --- /dev/null +++ b/3701/CH7/EX7.9/Ex7_9.sce @@ -0,0 +1,11 @@ +////Given
+a=10.0**-14 //m
+m=1.6*10**-27 //mass of a nucleon in kg
+h=1.054*10**-34 //Js
+
+//Calculation
+//
+Emin=((3*(%pi**2)*(h**2))/(2.0*m*(a**2)))/(1.6*10**-19)
+
+//Result
+printf("\n minimum energy of a nucleon is %0.1f Mev",Emin*10**-6)
|