initial commit / add all books

20 files changed, 185 insertions, 0 deletions

diff --git a/446/CH4/EX4.1/4_1.sce b/446/CH4/EX4.1/4_1.sce
new file mode 100755
index 000000000..39566190b
--- /dev/null
+++ b/446/CH4/EX4.1/4_1.sce
@@ -0,0 +1,20 @@
+clear

+clc

+disp("Ex: 4.1 ");

+h=6.6*10^-34;                              // h(planck's constant)= 6.6*10^-34 

+m1= 10^3;v1=100;;                            // for automobile

+w1= h/(m1*v1);                            // ['w'-wavelength in metre'm'-mass in Kg 'v'-velocity in metres/sec.] of the particles 

+printf("Wavelength of the automobile is %1.2e m\n",w1 );

+m2=10*(10^-3);v2= 500;                      // for bullet

+w2=h/(m2*v2);

+printf("Wavelength of the bullet is %1.2e m\n ",w2 );

+m3=(10^-9)*(10^-3); v3=1*10^-2;

+w3=h/(m3*v3);

+printf("Wavelength of the smoke particle is %1.2e m\n",w3 );

+m4=9.1*10^-31;k=1*1.6*10^-19;            // k- kinetic energy of the electron & using 1ev = 1.6*10^-19 joule

+p=sqrt(2*m4*k);                         // p=momentum of electron ;from K=1/2*m*v^2

+w4=h/p;

+printf("Wavelength of the electron(1ev) is %1.2fnm\n",w4*10^9 );

+hc=1240;pc=100                         // In the extreme relativistc realm, K=E=pc; Given pc=100MeV,hc=1240MeV 

+w5= hc/pc;

+printf("Wavelength of the electron (100Mev) is %1.2f fm\n",w5);
\ No newline at end of file
diff --git a/446/CH4/EX4.1/4_1.txt b/446/CH4/EX4.1/4_1.txt
new file mode 100755
index 000000000..f39a6938a
--- /dev/null
+++ b/446/CH4/EX4.1/4_1.txt
@@ -0,0 +1,16 @@
+  

+ Ex: 4.1(a)    

+Wavelength of the automobile is 6.60e-039 m

+ 

+ Ex: 4.1(b)    

+Wavelength of the bullet is 1.32e-034 m

+  

+ Ex: 4.1(c)    

+Wavelength of the smoke particle is 6.60e-020 m

+ 

+ Ex: 4.1(d)    

+Wavelength of the electron(1ev) is 1.22nm

+ 

+ Ex: 4.1(e)    

+Wavelength of the electron (100Mev) is 12.40 fm

+ 
\ No newline at end of file
diff --git a/446/CH4/EX4.10/4_10.sce b/446/CH4/EX4.10/4_10.sce
new file mode 100755
index 000000000..52480fd81
--- /dev/null
+++ b/446/CH4/EX4.10/4_10.sce
@@ -0,0 +1,6 @@
+clc

+clear

+disp('Ex-4.10');

+printf(' Group velocity is found out from Eq. 4.18.\n Since k=2*pi/w ; Vphase= w/k \n w/k = sqrt(g/k) /n w=sqrt(g*k)');

+printf('\ndifferetiating on both sides\n');

+printf('dw=1/2 * sqrt(g) * k^-1/2 * dk\n dw= 1/2 * sqrt(g/k)\n Hence Vgroup= Vphase/2');
\ No newline at end of file
diff --git a/446/CH4/EX4.10/4_10.txt b/446/CH4/EX4.10/4_10.txt
new file mode 100755
index 000000000..0e7039345
--- /dev/null
+++ b/446/CH4/EX4.10/4_10.txt
@@ -0,0 +1,16 @@
+ Ex-4.10   

+ Group velocity is found out from Eq. 4.18.

+

+ Since k=2*pi/w ; Vphase= w/k 

+

+ w/k = sqrt(g/k)

+ 

+ w=sqrt(g*k)

+

+differetiating on both sides

+

+dw=1/2 * sqrt(g) * k^-1/2 * dk

+

+ dw= 1/2 * sqrt(g/k)

+ 

+Hence Vgroup= Vphase/2 
\ No newline at end of file
diff --git a/446/CH4/EX4.2/4_2.sce b/446/CH4/EX4.2/4_2.sce
new file mode 100755
index 000000000..78679d0c0
--- /dev/null
+++ b/446/CH4/EX4.2/4_2.sce
@@ -0,0 +1,9 @@
+clear 

+clc 

+disp('Ex-4.2');

+// w=wavelength; consider k=2*(pi/w); 

+// differentiate k w.r.t w and replace del(k)/del(w) = 1 for equation.4.3

+// which gives del(w)= w^2 /(2*pi*del(x)), hence 

+w=20; delx=200; // delx=200cm and w=20cm

+delw=(w^2)/(delx*2*%pi);

+printf('Hence uncertainity in length is %1.2f cm',delw);
\ No newline at end of file
diff --git a/446/CH4/EX4.2/4_2.txt b/446/CH4/EX4.2/4_2.txt
new file mode 100755
index 000000000..8ddea1b2c
--- /dev/null
+++ b/446/CH4/EX4.2/4_2.txt
@@ -0,0 +1,2 @@
+Ex-4.2   

+Hence uncertainity in length is 0.32 cm 
\ No newline at end of file
diff --git a/446/CH4/EX4.3/4_3.sce b/446/CH4/EX4.3/4_3.sce
new file mode 100755
index 000000000..5cab28f18
--- /dev/null
+++ b/446/CH4/EX4.3/4_3.sce
@@ -0,0 +1,12 @@
+clear

+clc

+disp('Ex-4.3')

+delt=1;              //consider time interval of 1 sec

+delw=1/delt;        // since delw*delt =1 from equation 4.4

+delf=0.01          //calculated accuracy is 0.01Hz

+delwc =2*%pi*delf // delwc-claimed accuracy from w=2*pi*f

+printf('The minimum uncertainity calculated is 1rad/sec. The claimed accuracy is %.3f rad/sec\n',delwc);

+if delw==delwc then disp('Valid claim');

+end

+if delw~=delwc then disp('Invalid claim');

+end

diff --git a/446/CH4/EX4.3/4_3.txt b/446/CH4/EX4.3/4_3.txt
new file mode 100755
index 000000000..fe6612a32
--- /dev/null
+++ b/446/CH4/EX4.3/4_3.txt
@@ -0,0 +1,4 @@
+Ex-4.3   

+The minimum uncertainity calculated is 1rad/sec. The claimed accuracy is 0.063 rad/sec

+ 

+ Invalid claim   
\ No newline at end of file
diff --git a/446/CH4/EX4.4/4_4.sce b/446/CH4/EX4.4/4_4.sce
new file mode 100755
index 000000000..9576d57b9
--- /dev/null
+++ b/446/CH4/EX4.4/4_4.sce
@@ -0,0 +1,11 @@
+clear

+clc

+disp('Ex-4.4(a)');

+m=9.11*10^-31;v=3.6*10^6; //'m','v' - mass an velocity of the electron in SI units

+h=1.05*10^-34; //planck's constant in SI

+p=m*v; //momentum

+delp=p*0.01;//due to 1% precision in p

+delx = h/delp//uncertainity in position

+printf('Uncertainity in position is %1.2f nm',delx*10^9);

+disp('Ex-4.4((b)')

+printf('Since the motion is strictly along X-direction, its velocity in Y direction is absolutely zero.\n So uncertainity in velocity along y is zero=> uncertainity in position along y is infinite. \nSo nothing can be said about its position/motion along Y')
\ No newline at end of file
diff --git a/446/CH4/EX4.4/4_4.txt b/446/CH4/EX4.4/4_4.txt
new file mode 100755
index 000000000..451a45065
--- /dev/null
+++ b/446/CH4/EX4.4/4_4.txt
@@ -0,0 +1,6 @@
+ Ex-4.4(a)   

+Uncertainity in position is 3.20 nm 

+ Ex-4.4((b)   

+Since the motion is strictly along X-direction, its velocity in Y direction is absolutely zero.

+ So uncertainity in velocity along y is zero=> uncertainity in position along y is infinite. 

+So nothing can be said about its position/motion along Y 
\ No newline at end of file
diff --git a/446/CH4/EX4.5/4_5.sce b/446/CH4/EX4.5/4_5.sce
new file mode 100755
index 000000000..d61225abb
--- /dev/null
+++ b/446/CH4/EX4.5/4_5.sce
@@ -0,0 +1,11 @@
+clear

+clc

+disp('Ex-4.5(a)');

+m=0.145;v=42.5; //'m','v' - mass an velocity of the electron in SI units

+h=1.05*10^-34; //planck's constant in SI

+p=m*v; //momentum

+delp=p*0.01;//due to 1% precision in p

+delx = h/delp//uncertainity in position

+printf('Uncertainity in position is %1.2e',delx);

+disp('Ex-4.5(b)');

+printf('Motion along y is unpredictable as long as the veloity along y is exactly known(as zero).');
\ No newline at end of file
diff --git a/446/CH4/EX4.5/4_5.txt b/446/CH4/EX4.5/4_5.txt
new file mode 100755
index 000000000..a14c29f92
--- /dev/null
+++ b/446/CH4/EX4.5/4_5.txt
@@ -0,0 +1,4 @@
+ Ex-4.5(a)   

+Uncertainity in position is 1.70e-033 

+ Ex-4.5(b)   

+Motion along y is unpredictable as long as the veloity along y is exactly known(as zero). 
\ No newline at end of file
diff --git a/446/CH4/EX4.6/4_6.sce b/446/CH4/EX4.6/4_6.sce
new file mode 100755
index 000000000..e8d685f14
--- /dev/null
+++ b/446/CH4/EX4.6/4_6.sce
@@ -0,0 +1,8 @@
+clc

+clear

+disp('Ex-4.6')

+printf('The uncertainity in the poisition of electron after it passes through the slit is reduced to width of the slit\n delx=a\n');

+printf('The uncertainity in momentum = h/a\n');

+printf('Position of landing(angle t) = sin t = tan t = delz/dely =(h/a)/2*pi*a= w/2*pi*a  \nwhere w=wavelenghth\n');

+printf('Rewriting  the above expression a*sint = w/(2*pi)\n which is similar to a*sint = w  (neglect 2*pi)as found out by first minimum in diffraction by a slit of width a');

+disp('It proves a close connection between wave behaviour and uncertainity principle');
\ No newline at end of file
diff --git a/446/CH4/EX4.6/4_6.txt b/446/CH4/EX4.6/4_6.txt
new file mode 100755
index 000000000..e729d7ff6
--- /dev/null
+++ b/446/CH4/EX4.6/4_6.txt
@@ -0,0 +1,11 @@
+

+ Ex-4.6   

+The uncertainity in the poisition of electron after it passes through the slit is reduced to width of the slit

+ delx=a

+The uncertainity in momentum = h/a

+Position of landing(angle t) = sin t = tan t = delz/dely =(h/a)/2*pi*a= w/2*pi*a  

+where w=wavelenghth

+Rewriting  the above expression a*sint = w/(2*pi)

+ which is similar to a*sint = w  (neglect 2*pi)as found out by first minimum in diffraction by a slit of width a 

+ It proves a close connection between wave behaviour and uncertainity principle   

+ 
\ No newline at end of file
diff --git a/446/CH4/EX4.7/4_7.sce b/446/CH4/EX4.7/4_7.sce
new file mode 100755
index 000000000..810b0871d
--- /dev/null
+++ b/446/CH4/EX4.7/4_7.sce
@@ -0,0 +1,12 @@
+clear

+clc

+disp('Ex-4.7');

+mc2=2.15*10^-4;          //mc2 is the mass of the electron, concidered in Mev for the simplicity in calculations

+hc=197                  // The value of h*c in Mev.fm for simplicity

+delx= 10               // Given uncertainity in position=diameter of nucleus= 10 fm

+delp= hc/delx ;       //Uncertainiy in momentum per unit 'c' i.e (Mev/c) delp= h/delx =(h*c)/(c*delx);hc=197 Mev.fm  1Mev=1.6*10^-13 Joules')

+p=delp;               // Equating delp to p  as a consequence of equation 4.10

+K1=[[p]^2]+[mc2]^2   // The following 3 steps are the steps invlolved in calculating K.E= sqrt((p*c)^2 + (mc^2)^2)- m*c^2

+K1=sqrt(K1)

+K1= K1-(mc2);

+printf('Kinetic energy was found out to be %d Mev', K1)
\ No newline at end of file
diff --git a/446/CH4/EX4.7/4_7.txt b/446/CH4/EX4.7/4_7.txt
new file mode 100755
index 000000000..314477371
--- /dev/null
+++ b/446/CH4/EX4.7/4_7.txt
@@ -0,0 +1,2 @@
+ Ex-4.7   

+Kinetic energy was found out to be 19 Mev 
\ No newline at end of file
diff --git a/446/CH4/EX4.8/4_8.sce b/446/CH4/EX4.8/4_8.sce
new file mode 100755
index 000000000..67ade2321
--- /dev/null
+++ b/446/CH4/EX4.8/4_8.sce
@@ -0,0 +1,13 @@
+clear 

+clc

+disp('Ex-4.8')

+h=6.58*10^-16; // plack's constant

+delt1=26*10^-9;E=140*10^6 //given values of lifetime and rest energy of charged pi meson

+delE=h/delt1; k=delE/E;  // k is the measure of uncertainity

+printf('Uncertainity in energy of charged pi meson is %1.2e\n',k);

+delt2=8.3*10^-17;E=135*10^6;  //given values of lifetime and rest energy of uncharged pi meson

+delE=h/delt2; k=delE/E;

+printf('Uncertainity in energy of uncharged pi meson is %1.2e\n',k);

+delt3=4.4*10^-24;E=765*10^6;       //given values of lifetime and rest energy of rho meson

+delE=h/delt3; k=delE/E;

+printf('Uncertainity in energy of rho meson is %.1f\n',k);
\ No newline at end of file
diff --git a/446/CH4/EX4.8/4_8.txt b/446/CH4/EX4.8/4_8.txt
new file mode 100755
index 000000000..cbb73d902
--- /dev/null
+++ b/446/CH4/EX4.8/4_8.txt
@@ -0,0 +1,10 @@
+  

+ Ex-4.8(a)   

+Uncertainity in energy of charged pi meson is 1.81e-016

+ 

+ Ex-4.8(b)   

+Uncertainity in energy of uncharged pi meson is 5.87e-008

+ 

+ Ex-4.8(c)   

+Uncertainity in energy of rho meson is 0.2

+ 
\ No newline at end of file
diff --git a/446/CH4/EX4.9/4_9.sce b/446/CH4/EX4.9/4_9.sce
new file mode 100755
index 000000000..cfe310049
--- /dev/null
+++ b/446/CH4/EX4.9/4_9.sce
@@ -0,0 +1,9 @@
+clear

+clc

+disp('Ex-4.9')

+h=1.05*10^-34;  //value of planck's constant in J.sec

+delx= 1;        // uncertainity in positon= dimension of the ball

+delp=h/delx;    // uncertainity in momentum 

+m=0.1;          //mass of the ball in kg

+delv=delp/m;    // uncertainity in velocity

+printf('The value of minimum velocity was found out to be %1.2e m/sec',delv);
\ No newline at end of file
diff --git a/446/CH4/EX4.9/4_9.txt b/446/CH4/EX4.9/4_9.txt
new file mode 100755
index 000000000..2b1b18149
--- /dev/null
+++ b/446/CH4/EX4.9/4_9.txt
@@ -0,0 +1,3 @@
+

+ Ex-4.9   

+The value of minimum velocity was found out to be 1.05e-033 m/sec 
\ No newline at end of file