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authorpriyanka2015-06-24 15:03:17 +0530
committerpriyanka2015-06-24 15:03:17 +0530
commitb1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (patch)
treeab291cffc65280e58ac82470ba63fbcca7805165 /2243/CH6
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initial commit / add all books
Diffstat (limited to '2243/CH6')
-rwxr-xr-x2243/CH6/EX6.1/Ex6_1.sce44
-rwxr-xr-x2243/CH6/EX6.1/Res6_1.txt15
-rwxr-xr-x2243/CH6/EX6.10/Ex6_10.sce13
-rwxr-xr-x2243/CH6/EX6.10/Res6_10.txt4
-rwxr-xr-x2243/CH6/EX6.14/Ex6_14.sce24
-rwxr-xr-x2243/CH6/EX6.14/Res6_14.txt2
-rwxr-xr-x2243/CH6/EX6.17/Ex6_17.sce39
-rwxr-xr-x2243/CH6/EX6.17/Res6_17.txt10
-rwxr-xr-x2243/CH6/EX6.2/Ex6_2.sce18
-rwxr-xr-x2243/CH6/EX6.2/Res6_2.txt4
-rwxr-xr-x2243/CH6/EX6.3/Ex6_3.sce17
-rwxr-xr-x2243/CH6/EX6.3/Res6_3.txt1
-rwxr-xr-x2243/CH6/EX6.4/Ex6_4.sce12
-rwxr-xr-x2243/CH6/EX6.4/Res6_4.txt1
-rwxr-xr-x2243/CH6/EX6.5/Ex6_5.sce20
-rwxr-xr-x2243/CH6/EX6.5/Res6_5.txt1
-rwxr-xr-x2243/CH6/EX6.6/Ex6_6.sce26
-rwxr-xr-x2243/CH6/EX6.6/Res6_6.txt5
-rwxr-xr-x2243/CH6/EX6.7/Ex6_7.sce25
-rwxr-xr-x2243/CH6/EX6.7/Res6_7.txt15
-rwxr-xr-x2243/CH6/EX6.8/Ex6_8.sce38
-rwxr-xr-x2243/CH6/EX6.8/Res6_8.txt19
-rwxr-xr-x2243/CH6/EX6.9/Ex6_9.sce10
-rwxr-xr-x2243/CH6/EX6.9/Res6_9.txt1
24 files changed, 364 insertions, 0 deletions
diff --git a/2243/CH6/EX6.1/Ex6_1.sce b/2243/CH6/EX6.1/Ex6_1.sce
new file mode 100755
index 000000000..75859cd35
--- /dev/null
+++ b/2243/CH6/EX6.1/Ex6_1.sce
@@ -0,0 +1,44 @@
+//Quantised energy levels for microscopic and macroscopic systems
+clc();
+clear;
+//Given :
+// (a) For a 1s simple pendulum :
+T = 1; // time period in s
+nu = 1/T; //Frequency in Hz
+//Planck's quantisation princple : E_n = n*h*nu
+h = 6.625*10^-34 ; //Planck's constant in Js
+printf("Energy at First three levels for a 1s simple pendulum :\n\n");
+for n1 = 1:3
+ E1 = n1*h*nu ; // Energry in J
+ printf("E_%d : %1.3f x 10^-34 J\n",n1,E1*10^34);
+end
+// (b) For a hydrogen electron
+// E_n = (-13.6/n^2)eV
+ printf("Energy at First three levels for a hydrogen electron :\n\n");
+for n2 = 1:3
+ E2 = (-13.6/n2^2);//Energy in eV
+ printf("E_%d : %.2f J\n",n2,E2);
+end
+
+//Now, for a simple pendulum
+m = 10; // mass in g
+a = 1; // amplitude in cm
+omega = 2*%pi*nu; // angular frequency in rad/s
+// 1 g = 1.0*10^-3 Kg and 1 cm = 1.0*10^-2 m
+E = 1/2*((m*10^-3)*(omega^2)*(a*10^-2)^2); // Energy in J
+//Thus,quantum number n = E/h*nu
+n = E/(h*nu);
+printf("Quantum number n is : %.2f x 10^28 \n\n",n*10^-28);
+//(i)Pendulum :
+//percentage change in energy = (E_n+1 - E_n)*100/E_n which is equal to [(n+1)*h*nu - n*h*nu]*100/(n*h*nu )
+//Therefore , it is (1/n) * 100
+pc = (1/n)*100; //percentage change in energy
+printf("Percentage change in energy ( pendulum ) is %1.3f x 10^-27 \n\n",pc*10^27);
+//(ii)Hyderogen electron :
+n_1 = 1; //ground state
+n_2 = 2; // next quantum state
+E_1 = (-13.6/n_1^2); // Energy in eV
+E_2 = (-13.6/n_2^2);//Energy in eV
+//percentage change : |((E_2-E_1)*100)|/ |E_1|
+pc1 =((E_2-E_1)*100)/(-E_1);//percentage change
+printf("Percentage change in energy (hydrogen electron) is %.1f",abs(pc1));
diff --git a/2243/CH6/EX6.1/Res6_1.txt b/2243/CH6/EX6.1/Res6_1.txt
new file mode 100755
index 000000000..16d3a3535
--- /dev/null
+++ b/2243/CH6/EX6.1/Res6_1.txt
@@ -0,0 +1,15 @@
+Energy at First three levels for a 1s simple pendulum :
+
+E_1 : 6.625 x 10^-34 J
+E_2 : 13.250 x 10^-34 J
+E_3 : 19.875 x 10^-34 J
+Energy at First three levels for a hydrogen electron :
+
+E_1 : -13.60 J
+E_2 : -3.40 J
+E_3 : -1.51 J
+Quantum number n is : 2.98 x 10^28
+
+Percentage change in energy ( pendulum ) is 3.356 x 10^-27
+
+Percentage change in energy (hydrogen electron) is 75.0 \ No newline at end of file
diff --git a/2243/CH6/EX6.10/Ex6_10.sce b/2243/CH6/EX6.10/Ex6_10.sce
new file mode 100755
index 000000000..c9a34bc03
--- /dev/null
+++ b/2243/CH6/EX6.10/Ex6_10.sce
@@ -0,0 +1,13 @@
+clc();
+clear;
+//Given :
+//(a)Rock
+h = 6.625*10^-34; //planck's constant in Js
+m = 50 ; // mass in g
+v = 40; // Speed in m/s
+// m = 50*10^-3 kg , 1g = 1.0*10^-3 kg
+lambda1 = h/(m*10^-3*v); // Wavelength in m
+//(b)For an electron
+V = 50; // in volts
+lambda2 = 12.28/sqrt(V); // Wavelength in A
+printf("De Broglie wavelength \n\n (a)Rock : %.2f x 10^-34 m \n (b)For an electron : %.2f A",lambda1*10^34,lambda2);
diff --git a/2243/CH6/EX6.10/Res6_10.txt b/2243/CH6/EX6.10/Res6_10.txt
new file mode 100755
index 000000000..c7b2230d5
--- /dev/null
+++ b/2243/CH6/EX6.10/Res6_10.txt
@@ -0,0 +1,4 @@
+De Broglie wavelength
+
+ (a)Rock : 3.31 x 10^-34 m
+ (b)For an electron : 1.74 A \ No newline at end of file
diff --git a/2243/CH6/EX6.14/Ex6_14.sce b/2243/CH6/EX6.14/Ex6_14.sce
new file mode 100755
index 000000000..6539a82dd
--- /dev/null
+++ b/2243/CH6/EX6.14/Ex6_14.sce
@@ -0,0 +1,24 @@
+clc();
+clear;
+//Given:
+//(a) Ball
+h = 6.625*10^-34; //planck's constant in Js
+m1 = 45; //mass in g
+v1 = 40; //Speed in m/s
+prec1 = 1.5/100 ;//precision
+// m1 = 45*10^-3 kg , 1 g = 1.0*10^-3 kg
+p1 =m1*10^-3*v1 ; // momentum in kg m/s
+//(deltap/p)*100 = 1.5
+deltap1 = prec1*p1 ;
+deltax1 = h/deltap1; // uncertainty in position in m
+printf("Uncertainty in position for a ball : %.2f x 10^-32 m \n",deltax1*10^32);
+//(b) Electron
+m2 = 9.1*10^-31; //electron mass in kg
+v2 = 2*10^6 ; // Speed in m/s
+prec2 = 1.5/100 ; // precision
+p2 = m2*v2; // momentum in kg m/s
+//(deltap/p)*100 = 1.5
+deltap2 = prec2*p2 ;
+deltax2 = h/deltap2; // uncertainty in position in m
+// 1 A = 1.0*10^-10 m
+printf("Uncertainty in position for an electron : %.0f A \n",deltax2/(1.0*10^-10));
diff --git a/2243/CH6/EX6.14/Res6_14.txt b/2243/CH6/EX6.14/Res6_14.txt
new file mode 100755
index 000000000..0759f1b6c
--- /dev/null
+++ b/2243/CH6/EX6.14/Res6_14.txt
@@ -0,0 +1,2 @@
+ Uncertainty in position for a ball : 2.45 x 10^-32 m
+Uncertainty in position for an electron : 243 A \ No newline at end of file
diff --git a/2243/CH6/EX6.17/Ex6_17.sce b/2243/CH6/EX6.17/Ex6_17.sce
new file mode 100755
index 000000000..e078e8130
--- /dev/null
+++ b/2243/CH6/EX6.17/Ex6_17.sce
@@ -0,0 +1,39 @@
+clc();
+clear;
+//Given:
+//(a) Marble
+h = 6.625*10^-34; //planck's constant in Js
+m1 = 10; // mass in g
+L1 = 10; // width in cm
+// m1 = 10*10^-3 kg , 1 g = 1.0*10^-3 kg and L1 = 10*10^-2 m , 1 cm = 1.0*10^-2 m
+printf("(a)Marble \n\n");
+for n1 = 1:3
+ En1 = (n1^2*h^2)/(8*m1*10^-3*(L1*10^-2)^2); // Energry in J
+ printf("E_%d : %.1f x 10^-64 J\n",n1,En1*10^64);
+end
+//(b) For an electron
+m2 = 9.1*10^-31; //electron mass in kg
+L2 = 1 ; // width in A
+//L2 = 1*10^-10 m , 1 A = 1.0*10^-10 m
+printf("(b)For an electron \n\n");
+for n2 = 1:3
+ En2 = (n2^2*h^2)/(8*m2*(L2*10^-10)^2); // Energry in J
+ printf("E_%d : %.1f eV\n",n2,(En2*6.24150934*10^18)); // 1J = 6.24150934*10^18 eV
+end
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/2243/CH6/EX6.17/Res6_17.txt b/2243/CH6/EX6.17/Res6_17.txt
new file mode 100755
index 000000000..b0cb7a851
--- /dev/null
+++ b/2243/CH6/EX6.17/Res6_17.txt
@@ -0,0 +1,10 @@
+ (a)Marble
+
+E_1 : 5.5 x 10^-64 J
+E_2 : 21.9 x 10^-64 J
+E_3 : 49.4 x 10^-64 J
+(b)For an electron
+
+E_1 : 37.6 eV
+E_2 : 150.5 eV
+E_3 : 338.7 eV \ No newline at end of file
diff --git a/2243/CH6/EX6.2/Ex6_2.sce b/2243/CH6/EX6.2/Ex6_2.sce
new file mode 100755
index 000000000..ecb4f479d
--- /dev/null
+++ b/2243/CH6/EX6.2/Ex6_2.sce
@@ -0,0 +1,18 @@
+clc();
+clear;
+//Given :
+h = 6.625*10^-34;//Planck's constant in Js
+c = 3*10^8 ; //velocity of light in m/s
+// 1A = 1.0*10^-10 m
+//(a)Energy of a photon :
+// E = h*nu or E = h*c/lambda
+printf("Energy of a photon is %2.4f x 10^-16 /lambda(in A) J\n",((h*c)*10^10)*10^16);
+//1eV = 1.6*10^-19 J
+printf("Energy of a photon is %.0f/lambda(in A) eV\n\n",round(((h*c)/(1.6*10^-19))*10^10));
+//(b)Visible light Range is 4000-7000 A
+lambda1 = 4000;//Wavelength in A
+lambda2 = 7000;//Wavelength in A
+// 1eV = 1.6*10^-19 J ,
+E1 = (h*c)/(lambda1*10^-10*1.6*10^-19); //Energy in eV
+E2 = (h*c)/(lambda2*10^-10*1.6*10^-19);//Energy in eV
+printf("Hence the range of energies for visible photos is %.1f eV to %.1f eV",E2,E1);
diff --git a/2243/CH6/EX6.2/Res6_2.txt b/2243/CH6/EX6.2/Res6_2.txt
new file mode 100755
index 000000000..c3d97f69d
--- /dev/null
+++ b/2243/CH6/EX6.2/Res6_2.txt
@@ -0,0 +1,4 @@
+Energy of a photon is 19.8750 x 10^-16 /lambda(in A) J
+Energy of a photon is 12422/lambda(in A) eV
+
+Hence the range of energies for visible photos is 1.8 eV to 3.1 eV \ No newline at end of file
diff --git a/2243/CH6/EX6.3/Ex6_3.sce b/2243/CH6/EX6.3/Ex6_3.sce
new file mode 100755
index 000000000..86a50aa8d
--- /dev/null
+++ b/2243/CH6/EX6.3/Ex6_3.sce
@@ -0,0 +1,17 @@
+clc();
+clear;
+//Given :
+//Power of the source = 10^-5 W = 10^-5 J/s
+P = 10^-5 ; //Power in J/s
+r = 10^-9; //radius in m
+r1 = 5; // metal plate 5 m away from the source
+WF = 5;//Work function in eV
+area = %pi*(10^-9)^2 ; //area in m^2
+area1 = 4*%pi*r1^2; // area in m^2
+P1 = P*(area/area1); // in J/s
+// 1eV = 1.6*10^-19 J
+t = (WF*1.6*10^-19)/P1 ;// in s
+//1 day = 24 hours * 60 minutes * 60 seconds
+N = t/(24*60*60); //in days
+printf(" It will take %.0f days \n",round(N));
+
diff --git a/2243/CH6/EX6.3/Res6_3.txt b/2243/CH6/EX6.3/Res6_3.txt
new file mode 100755
index 000000000..ed776e95c
--- /dev/null
+++ b/2243/CH6/EX6.3/Res6_3.txt
@@ -0,0 +1 @@
+ It will take 93 days \ No newline at end of file
diff --git a/2243/CH6/EX6.4/Ex6_4.sce b/2243/CH6/EX6.4/Ex6_4.sce
new file mode 100755
index 000000000..eff475425
--- /dev/null
+++ b/2243/CH6/EX6.4/Ex6_4.sce
@@ -0,0 +1,12 @@
+clc();
+clear;
+//Given :
+nu1 = 10*10^14;// Frequency in Hz
+nu2 = 6*10^14;// Frequency in Hz
+V_01 = 2.37; //Stopping potential in volts
+V_02 = 0.72; //Stopping potential in volts
+//Einstein's photoeletric equation : h*nu = phi + e*V_0
+e = 1.6*10^-19 ;// Charge of an electron in C
+h = (e*(V_02 - V_01))/(nu2 - nu1);//Planck's constant in Js
+phi = ((h*nu1)-(e*V_01))/e ; // work function in eV
+printf("Plancks constant h is %.1f x 10^-34 Js and Work function phi is %.2f eV ",h*10^34,phi);
diff --git a/2243/CH6/EX6.4/Res6_4.txt b/2243/CH6/EX6.4/Res6_4.txt
new file mode 100755
index 000000000..6e00eb7d1
--- /dev/null
+++ b/2243/CH6/EX6.4/Res6_4.txt
@@ -0,0 +1 @@
+ Plancks constant h is 6.6 x 10^-34 Js and Work function phi is 1.76 eV \ No newline at end of file
diff --git a/2243/CH6/EX6.5/Ex6_5.sce b/2243/CH6/EX6.5/Ex6_5.sce
new file mode 100755
index 000000000..5833aba37
--- /dev/null
+++ b/2243/CH6/EX6.5/Ex6_5.sce
@@ -0,0 +1,20 @@
+clc();
+clear;
+//Given :
+ME = 35*10^3 ; //Maximum energy in eV
+theta = %pi; // photon is backscattered
+h = 6.625*10^-34; //planck's constant in Js
+m0 = 9.1*10^-31; //electron mass in Kg
+c = 3*10^8; //Speed of light in m/s
+deltalambda = (h*(1-cos(theta)))/(m0*c); // in A
+// (h*c/lambda) - (h*c/lambda') = 35 KeV or (deltalambda/lambda*lambda1) = (35 KeV/h*c)
+//Simplifying the above Equation , we will obtain : lambda^2 + 0.048 lambda - 0.017
+//Roots of the quadratic equation are :
+values = [-0.017,0.048,1]; // a,b,c values of the quadratic equation
+equation = poly(values,'lamb','coeff'); //quadratic equation
+r = roots(equation); //Roots of the final equation
+printf("Incident photon wavelength in Compton scattering is %.2f A",r(2));
+
+
+
+
diff --git a/2243/CH6/EX6.5/Res6_5.txt b/2243/CH6/EX6.5/Res6_5.txt
new file mode 100755
index 000000000..7af7c9af6
--- /dev/null
+++ b/2243/CH6/EX6.5/Res6_5.txt
@@ -0,0 +1 @@
+ Incident photon wavelength in Compton scattering is 0.11 A \ No newline at end of file
diff --git a/2243/CH6/EX6.6/Ex6_6.sce b/2243/CH6/EX6.6/Ex6_6.sce
new file mode 100755
index 000000000..90d8ad691
--- /dev/null
+++ b/2243/CH6/EX6.6/Ex6_6.sce
@@ -0,0 +1,26 @@
+clc();
+clear;
+//Given :
+theta = 90; //angle in degrees
+m0 = 9.1*10^-31; //electron mass in kg
+c = 3*10^8; //Speed of light in m/s
+h = 6.625*10^-34; //planck's constant in Js
+deltalambda = ((h*(1-cosd(theta)))/(m0*c))*10^10; // in A
+//(a) Microwave range
+lambda1 = 3.0 ;// wavelength in cm
+//lambda1 = 3.0*10^8 A , 1 cm = 1*10^8 A
+pc1 = ((deltalambda)*100)/((lambda1*10^8) + deltalambda) ;//percent change in photon energy
+printf("Percentage change in energy for radiation in microwave range is : %.0f x 10^-9 \n",pc1*10^9);
+//(b) Visible range
+lambda2 = 5000 ;// wavelength in A
+pc2 = ((deltalambda)/(lambda2 + deltalambda))*100 ;//percent change in photon energy
+printf("Percentage change in energy for radiation in visible range is : %.0f x 10^-4 \n",pc2*10^4);
+//(c) X-ray range
+lambda3 = 1 ; //wavelength in A
+pc3 = ((deltalambda)/(lambda3 + deltalambda))*100 ;//percent change in photon energy
+printf("Percentage change in energy for radiation in X-ray range is : %.1f\n",pc3);
+//(d)Gamma ray range
+lambda4 = 0.012 ;// wavelength in A
+pc4 = ((deltalambda)/(lambda4 + deltalambda))*100 ;//percent change in photon energy
+printf("Percentage change in energy for radiation in Gamma range is : %.1f\n",pc4);
+
diff --git a/2243/CH6/EX6.6/Res6_6.txt b/2243/CH6/EX6.6/Res6_6.txt
new file mode 100755
index 000000000..033429ff6
--- /dev/null
+++ b/2243/CH6/EX6.6/Res6_6.txt
@@ -0,0 +1,5 @@
+ Percentage change in energy for radiation in microwave range is : 8 x 10^-9
+Percentage change in energy for radiation in visible range is : 5 x 10^-4
+Percentage change in energy for radiation in X-ray range is : 2.4
+Percentage change in energy for radiation in Gamma range is : 66.9
+ \ No newline at end of file
diff --git a/2243/CH6/EX6.7/Ex6_7.sce b/2243/CH6/EX6.7/Ex6_7.sce
new file mode 100755
index 000000000..d3f4e1e26
--- /dev/null
+++ b/2243/CH6/EX6.7/Ex6_7.sce
@@ -0,0 +1,25 @@
+clc();
+clear;
+//Given:
+//Photoelectric effect
+lambda1 = 2000; //wavelength in A
+phi1 = 2.3;// Work function in eV
+m = 9.1*10^-31; //electron mass in kg
+E1 = 12422/lambda1; // Energy of photon in eV
+c = 3*10^8; //Speed of light in m/s
+Ee1 = (12422/lambda1)- phi1; // energy of an electron in eV
+pe1 = sqrt(2*m*Ee1*1.6*10^-19); //electron momentum in kg m/s
+pp1 = (E1*1.6*10^-19)/c ; // Momentum of incident photon in kg m/s
+ratio1 = pe1/pp1 ; // (pe/pp)
+//Compton effect
+lambda2 = 1; // wavelength in A
+deltalambda = 0.048; // Compton shift in A
+E2 = 12422/lambda2; // Energy of photon in eV
+Ee2 = (12422/lambda2)- (12422/(lambda2+deltalambda));//energy of an electron in eV
+pe2 = sqrt(2*m*Ee2*1.6*10^-19); //electron momentum in kg m/s
+pp2 = (E2*1.6*10^-19)/c ; // Momentum of incident photon in kg m/s
+ratio2 = pe2/pp2 ; // (pe/pp)
+printf("Photoelectric effect :\n\n");
+printf("Electron energy : %.1f eV \n Electron momentum : %.2f x 10^-24 kg m/s \n Momentum of incident photon : %.2f x 10^-27 kg m/s \n pe/pp : %.0f \n\n",Ee1,pe1*10^24,pp1*10^27,ratio1);
+printf("Compton effect :\n\n");
+printf("Electron energy : %.1f eV \n Electron momentum : %.1f x 10^-23 kg m/s \n Momentum of incident photon : %.2f x 10^-24 kg m/s \n pe/pp : %.2f \n\n",Ee2,pe2*10^23,pp2*10^24,ratio2);
diff --git a/2243/CH6/EX6.7/Res6_7.txt b/2243/CH6/EX6.7/Res6_7.txt
new file mode 100755
index 000000000..a3eac6746
--- /dev/null
+++ b/2243/CH6/EX6.7/Res6_7.txt
@@ -0,0 +1,15 @@
+ Photoelectric effect :
+
+Electron energy : 3.9 eV
+ Electron momentum : 1.07 x 10^-24 kg m/s
+ Momentum of incident photon : 3.31 x 10^-27 kg m/s
+ pe/pp : 322
+
+Compton effect :
+
+Electron energy : 568.9 eV
+ Electron momentum : 1.3 x 10^-23 kg m/s
+ Momentum of incident photon : 6.63 x 10^-24 kg m/s
+ pe/pp : 1.94
+
+ \ No newline at end of file
diff --git a/2243/CH6/EX6.8/Ex6_8.sce b/2243/CH6/EX6.8/Ex6_8.sce
new file mode 100755
index 000000000..de3b0140b
--- /dev/null
+++ b/2243/CH6/EX6.8/Ex6_8.sce
@@ -0,0 +1,38 @@
+clc();
+clear;
+//Given:
+//Gamma-rays,X-rays
+lambda1 = 0.01;//Wavelength in A
+c = 3*10^8; //Speed of light in m/s
+E1 = 12422/lambda1; // Energy in A
+p1 = (E1*1.6*10^-19)/c ; //Momentum in kg m/s
+//UV
+lambda2 = 100;//Wavelength in A
+c = 3*10^8; //Speed of light in m/s
+E2 = 12422/lambda2; // Energy in A
+p2 = (E2*1.6*10^-19)/c ; //Momentum in kg m/s
+//IR
+lambda3 = 1*10^-4;//Wavelength in m
+c = 3*10^8; //Speed of light in m/s
+//lambda3 = 1*10^-4*10^10 A , 1 m = 1*10^10 A
+E3 = 12422/(lambda3*10^10); // Energy in A
+p3 = (E3*1.6*10^-19)/c ; //Momentum in kg m/s
+//Microwave
+lambda4 = 1;//Wavelength in m
+c = 3*10^8; //Speed of light in m/s
+//lambda4 = 1*10^10 A , 1 m = 1*10^10 A
+E4 = 12422/(lambda4*10^10); // Energy in A
+p4 = (E4*1.6*10^-19)/c ; //Momentum in kg m/s
+//Radio waves
+lambda5 = 100;//Wavelength in m
+c = 3*10^8; //Speed of light in m/s
+//lambda5 = 100*10^10 A , 1 m = 1*10^10 A
+E5 = 12422/(lambda5*10^10); // Energy in A
+p5 = (E5*1.6*10^-19)/c ; //Momentum in kg m/s
+printf("Gamma-rays,X-rays : \n Energy : %.2f x 10^6 eV \n Momentum : %.1f x 10^-22 kg m/s \n\n",E1*10^-6,p1*10^22);
+printf(" UV : \n Energy : %.2f eV \n Momentum : %.1f x 10^-26 kg m/s\n\n",E2,p2*10^26);
+printf(" IR : \n Energy : %.4f eV \n Momentum : %.1f x 10^-30 kg m/s\n\n",E3,p3*10^30);
+printf(" Microwave : \n Energy : %.2f x 10^-6 eV \n Momentum : %.1f x 10^-34 kg m/s\n\n",E4*10^6,p4*10^34);
+printf(" Radio waves : \n Energy : %.2f x 10^-8 eV \n Momentum : %.1f x 10^-36 kg m/s",E5*10^8,p5*10^36);
+
+
diff --git a/2243/CH6/EX6.8/Res6_8.txt b/2243/CH6/EX6.8/Res6_8.txt
new file mode 100755
index 000000000..9af5b01b7
--- /dev/null
+++ b/2243/CH6/EX6.8/Res6_8.txt
@@ -0,0 +1,19 @@
+ Gamma-rays,X-rays :
+ Energy : 1.24 x 10^6 eV
+ Momentum : 6.6 x 10^-22 kg m/s
+
+ UV :
+ Energy : 124.22 eV
+ Momentum : 6.6 x 10^-26 kg m/s
+
+ IR :
+ Energy : 0.0124 eV
+ Momentum : 6.6 x 10^-30 kg m/s
+
+ Microwave :
+ Energy : 1.24 x 10^-6 eV
+ Momentum : 6.6 x 10^-34 kg m/s
+
+ Radio waves :
+ Energy : 1.24 x 10^-8 eV
+ Momentum : 6.6 x 10^-36 kg m/s \ No newline at end of file
diff --git a/2243/CH6/EX6.9/Ex6_9.sce b/2243/CH6/EX6.9/Ex6_9.sce
new file mode 100755
index 000000000..df8874813
--- /dev/null
+++ b/2243/CH6/EX6.9/Ex6_9.sce
@@ -0,0 +1,10 @@
+clc();
+clear;
+//Given :
+h = 6.625*10^-34; //planck's constant in Js
+m = 9.109*10^-31;// electron mass in kg
+e = 1.6*10^-19; // charge of an electron in C
+//Lambda = h/sqrt(2*m*eV) here we dont have V , so let us caluclate the remaining part.
+lambda = h/sqrt(2*m*e);// wavelength in A
+// 1 A = 1.0*10^-10 m
+printf("Lambda(A) = %.2f/sqrt(V) ",lambda/(1.0*10^-10));
diff --git a/2243/CH6/EX6.9/Res6_9.txt b/2243/CH6/EX6.9/Res6_9.txt
new file mode 100755
index 000000000..cf4987289
--- /dev/null
+++ b/2243/CH6/EX6.9/Res6_9.txt
@@ -0,0 +1 @@
+ Lambda(A) = 12.27/sqrt(V) \ No newline at end of file