initial commit / add all books

7 files changed, 110 insertions, 0 deletions

diff --git a/2243/CH2/EX2.2/Ex2_2.sce b/2243/CH2/EX2.2/Ex2_2.sce
new file mode 100755
index 000000000..2572cf078
--- /dev/null
+++ b/2243/CH2/EX2.2/Ex2_2.sce
@@ -0,0 +1,48 @@
+clc();

+clear;

+// wave y= 2*sin(10*pi*t - (pi*x)/40  + pi/4)

+// (a) Plot the space profile at t= T/4

+// Comapring the given Equation with  y= A*sin(omega*t - k*x + phi)

+omega = 10*%pi ; //Angular frequency in rad/s

+k= %pi/40 ; // Wave number in rad/m

+T= 1/5 ; // 2*pi/T = 10*pi , so Time period is 1/5 s

+lambda = 80; // Wavelength in m ,  2*pi/lambda = pi/40 , so lambda = 80

+t1= T/4; //time period in s

+x1= 0;//  in m

+printf("The Space profile of a wave y= 2*sin(10*pi*t - (pi*x)/40 + pi/4) when  t= T/4\n\n")

+printf("\tx (in m) \t y1(x)  (in m)\n");

+while x1<180

+y1= 2*sin((omega*t1)-(k*x1)+ (%pi/4));

+printf("\t%d\t\t%.3f\n",x1,y1);

+x1 = x1+10;

+end

+//Now, we will plot the space profile from the values obtained for y1 for each value of x1

+x_1 = [0,10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170];

+y_1 = [1.414214,2.000000,1.414214,0.000000,-1.414214,-2.000000,-1.414214,-0.000000,1.414214,2.000000,1.414214,0.000000,-1.414214,-2.000000,-1.414214,-0.000000,1.414214,2.000000];

+// axis centered at (0,0)

+axis=gca(); // Handle on axes entity

+axis.x_location = "origin"; 

+axis.y_location = "origin"; 

+plot(x_1,y_1,style=5);

+xtitle("Space Profile at t = T/4 for the wave    y= 2*sin(10*pi*t - (pi*x)/40  + pi/4)","x (in m)","y1(x)  (in m)");

+xpause(10000000);

+//(b)

+x2= lambda/8; //in m

+t2=0; // time period in s

+printf("The time profile of a wave y= 2*sin(10*pi*t - (pi*x)/40 + pi/4) when  x= lambda/8\n\n")

+printf("\t t(in s)     \t     y2(t) (in m)\n\n");

+while t2<0.4

+ y2=2*sin((omega*t2)-(k*x2)+ (%pi/4));

+ printf("\t%.3f\t\t%.3f\n",t2,y2);

+ t2=t2+0.025;

+end

+//Now,we will plot the time profile from the values obtained for y2 ,for each value of t2

+x_2=[0,0.025,0.05,0.075,0.1,0.125,0.15,0.175,0.2,0.22500,0.250000,0.27500,0.30000,0.325000,0.350000,0.37500];

+y_2=[0.000000,1.414214,2.000000,1.414214,0.000000,-1.414214,-2.000000,-1.414214,-0.000000,1.414214,2.000000,1.414214,0.000000,-1.414214,-2.000000,-1.414214];

+// axis centered at (0,0)

+axis1=gca(); // Handle on axes entity

+axis1.x_location = "origin"; 

+axis1.y_location = "origin"; 

+plot(x_2,y_2,style= 4);

+xtitle("Time Profile at x = lambda/8 for the wave    y= 2*sin(10*pi*t - (pi*x)/40  + pi/4)","t (in s)","y2(t)  (in m)");

+

diff --git a/2243/CH2/EX2.2/Fig2_2_a.jpg b/2243/CH2/EX2.2/Fig2_2_a.jpg
new file mode 100755
index 000000000..3952b9588
--- /dev/null
+++ b/2243/CH2/EX2.2/Fig2_2_a.jpg
diff --git a/2243/CH2/EX2.2/Fig2_2_b.jpg b/2243/CH2/EX2.2/Fig2_2_b.jpg
new file mode 100755
index 000000000..bd7c87509
--- /dev/null
+++ b/2243/CH2/EX2.2/Fig2_2_b.jpg
diff --git a/2243/CH2/EX2.3/Ex2_3.sce b/2243/CH2/EX2.3/Ex2_3.sce
new file mode 100755
index 000000000..09de023b8
--- /dev/null
+++ b/2243/CH2/EX2.3/Ex2_3.sce
@@ -0,0 +1,23 @@
+clc();

+clear;

+//Let us consider, wave function  y = A*sin(omega*t - K*x + phi)

+A= 0.02;// Amplitude in m

+lambda = 6; // Wavelength (lambda) = Crest Distance = 6 m

+T= 2;// Time period is s

+nu =  1/T; // Frequency in Hz

+omega = 2*%pi*nu ; //Angular Frequency in rad/s

+k = 2*%pi/lambda; //wave number in rad/m

+//from Space profile, when x=1.5 m, t= 0

+y = 0.02; //in m

+x=1.5;//in m

+t= 0; // in s

+phi = (asin(y/A) +(k*x) - (omega*t)); // Initial phase in radians

+printf(" Wave parameters from the space profile and time profile\n")

+printf(" (1)Amplitude is %.2f m \n (2)Wavelength  is %d m \n (3)Time period is %d s \n (4)Frequency is %.1f Hz \n (5)Angular Frequency is %.3f rad/s\n (6)Wave number is %.3f rad/m \n (7)Initial phase is %.3f radians\n",A,lambda,T,nu,omega,k,phi);

+// y(x,t=0) : -0.02 = 0.02*sin(0-(pi*x)/3 + pi)

+//Thus  (-pi*x)/3 + pi = -pi/2,-5*pi/2, giving x= 9/2 m,21/2m

+V= omega/k; // Velocity of wave in m/s

+// I is proportional to A^2

+I = A^2; // Intensity in m^2 (Proportional)

+printf(" (8)The velocity of wave is %d m/s \n (9)Intensity is proportional to : %.1f x 10^-4 m^2.",V,I*10^4);

+ 

diff --git a/2243/CH2/EX2.3/Res2_3.txt b/2243/CH2/EX2.3/Res2_3.txt
new file mode 100755
index 000000000..f93d845b4
--- /dev/null
+++ b/2243/CH2/EX2.3/Res2_3.txt
@@ -0,0 +1,10 @@
+Wave parameters from the space profile and time profile

+ (1)Amplitude is 0.02 m 

+ (2)Wavelength  is 6 m 

+ (3)Time period is 2 s 

+ (4)Frequency is 0.5 Hz 

+ (5)Angular Frequency is 3.142 rad/s

+ (6)Wave number is 1.047 rad/m 

+ (7)Initial phase is 3.142 radians

+ (8)The velocity of wave is 3 m/s 

+ (9)Intensity is proportional to : 4.0 x 10^-4 m^2. 
\ No newline at end of file
diff --git a/2243/CH2/EX2.6/Ex2_6.sce b/2243/CH2/EX2.6/Ex2_6.sce
new file mode 100755
index 000000000..ee2f02e6a
--- /dev/null
+++ b/2243/CH2/EX2.6/Ex2_6.sce
@@ -0,0 +1,14 @@
+clc();

+clear;

+//(a)Tunning fork 

+nu= 440; // Frequency in Hz

+V=340; // velocity of sound in air in m/s

+lambda= V/nu ;// Wavelength of sound wave in m

+k= 2*%pi/lambda; // Wave number in m

+//(b) Red Light 

+nu1 = 5*10^14;// Frequency of Red light in Hz

+V1 = 3*10^8;//Velocity of light in m/s

+lambda1= V1/nu1; //Wavelength of light wave in m

+k1= 2*%pi/lambda1; // Wave number in m

+printf("For Sound wave : \n\n Frequency: %d Hz \n Velocity: %d m/s \n Wavelegth: %.3f m\n Wave number : %.2f m \n Wave Equation for Sound wave: y =  A*sin((%.2f*x)-(%.3f*t)) \n\n",nu,V,lambda,k,k,(2*%pi*nu));

+printf("For Light wave : \n\n Frequency: %.0f x 10^14 Hz \n Velocity: %d x 10^8 m/s \n Wavelegth: %.1f x 10^-7 m\n Wave number : %.2f x 10^7 m \n Wave Equation for Sound wave: y =  A*sin((%.2f*10^7*x)-(%.1f*10^15*t)) \n\n",nu1*10^-14,V1*10^-8,lambda1*10^7,k1*10^-7,k1*10^-7,(2*%pi*nu1*10^-15));

diff --git a/2243/CH2/EX2.6/Res2_6.txt b/2243/CH2/EX2.6/Res2_6.txt
new file mode 100755
index 000000000..156aa7314
--- /dev/null
+++ b/2243/CH2/EX2.6/Res2_6.txt
@@ -0,0 +1,15 @@
+  For Sound wave : 

+

+ Frequency: 440 Hz 

+ Velocity: 340 m/s 

+ Wavelegth: 0.773 m

+ Wave number : 8.13 m 

+ Wave Equation for Sound wave: y =  A*sin((8.13*x)-(2764.602*t)) 

+

+For Light wave : 

+

+ Frequency: 5 x 10^14 Hz 

+ Velocity: 3 x 10^8 m/s 

+ Wavelegth: 6.0 x 10^-7 m

+ Wave number : 1.05 x 10^7 m 

+ Wave Equation for Sound wave: y =  A*sin((1.05*10^7*x)-(3.1*10^15*t)) 
\ No newline at end of file