diff options
Diffstat (limited to '1172/CH6')
58 files changed, 474 insertions, 0 deletions
diff --git a/1172/CH6/EX6.1/6_1.txt b/1172/CH6/EX6.1/6_1.txt new file mode 100755 index 000000000..79f8b5497 --- /dev/null +++ b/1172/CH6/EX6.1/6_1.txt @@ -0,0 +1,2 @@ + # Problem 1 #
+Percentage contraction in rod is 8.348486 and apparent orientation is 2.886751
diff --git a/1172/CH6/EX6.1/Example6_1.sce b/1172/CH6/EX6.1/Example6_1.sce new file mode 100755 index 000000000..3b1e29876 --- /dev/null +++ b/1172/CH6/EX6.1/Example6_1.sce @@ -0,0 +1,14 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.8* c // velocity of rod
+l1 = 1 // let
+theta = 60 // anlge between length of rod and speed in degree
+//Sample Problem 1 page No. 221
+printf("\n # Problem 1 # \n")
+l_x = l1 * cos(theta * %pi /180) * sqrt (1-(v /c)^2)
+l_y = l1 * sin(theta * %pi /180)
+l2 = sqrt (l_x^2 + l_y^2)
+per_contrtaction = (l1 - l2) / l1 *100
+angle = atan (l_y/l_x)
+printf ("Percentage contraction in rod is %f and apparant orientation is %f",per_contrtaction,tan (angle) )
diff --git a/1172/CH6/EX6.10/6_10.txt b/1172/CH6/EX6.10/6_10.txt new file mode 100755 index 000000000..7806ea8a2 --- /dev/null +++ b/1172/CH6/EX6.10/6_10.txt @@ -0,0 +1,4 @@ + # Problem 10 #
+
+ Standard formula used l = l_o * sqrt ( 1- (v/c)^2)
+ Velocity of particle is 0.942809 c.
diff --git a/1172/CH6/EX6.10/Example6_10.sce b/1172/CH6/EX6.10/Example6_10.sce new file mode 100755 index 000000000..95eaefc19 --- /dev/null +++ b/1172/CH6/EX6.10/Example6_10.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+m_0 = 1 // atomic mass in amu
+m = 3 * m_0 // relativistic mass
+// sample problem 10 page No. 225
+printf("\n \n\n # Problem 10 # \n")
+printf("\n Standard formula used l = l_o * sqrt ( 1- (v/c)^2)")
+v = c * sqrt(1- (m_0 / m)^2) // calculation of Velocity of particle
+printf ("\n Velocity of particle is %f c.", v / c )
diff --git a/1172/CH6/EX6.11/6_11.txt b/1172/CH6/EX6.11/6_11.txt new file mode 100755 index 000000000..af37436d0 --- /dev/null +++ b/1172/CH6/EX6.11/6_11.txt @@ -0,0 +1,4 @@ + # Problem 11 #
+
+ Standard formula used m = m_o / sqrt ( 1- (v/c)^2)
+ Velocity of particle is 0.866025 c.
diff --git a/1172/CH6/EX6.11/Example6_11.sce b/1172/CH6/EX6.11/Example6_11.sce new file mode 100755 index 000000000..46fef2892 --- /dev/null +++ b/1172/CH6/EX6.11/Example6_11.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+mass_ratio = 0.5 // Ratio of rest mass and relativistic mass
+c = 3e8 // speed of light in m/s
+// sample problem 11 page No. 225
+printf("\n # Problem 11 # \n")
+printf("\n Standard formula used \n m = m_o / sqrt ( 1- (v/c)^2)\n")
+v = c * sqrt(1- mass_ratio^2) // calculation of Velocity of particle
+printf ("\n Velocity of particle is %f c.", v / c )
+
diff --git a/1172/CH6/EX6.12.1/6_12a.txt b/1172/CH6/EX6.12.1/6_12a.txt new file mode 100755 index 000000000..2bb666eb8 --- /dev/null +++ b/1172/CH6/EX6.12.1/6_12a.txt @@ -0,0 +1,6 @@ + # Problem 12a #
+
+ Standard formula used
+ u_x = (u_x_ + v) / (1 + v * u_x_ / c^2)
+ Velocity of photon with respect to another is -2.769231e+08 m/s.
+ Relativistic mass of particle with respect to another is 7.800000e-25 kg.
diff --git a/1172/CH6/EX6.12.1/Example6_12a.sce b/1172/CH6/EX6.12.1/Example6_12a.sce new file mode 100755 index 000000000..943856042 --- /dev/null +++ b/1172/CH6/EX6.12.1/Example6_12a.sce @@ -0,0 +1,13 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+u_x_ = -2e8 // velocity of first photon in ground frame in m/s
+v = -2e8 // velocity of second photon in ground frame in m/s
+m_0 = 3e-25
+// sample problem 12 page No. 226
+printf("\n \n\n # Problem 12a # \n")
+printf("\n Standard formula used \n u_x = (u_x_ + v) / (1 + v * u_x_ / c^2)")
+u_x = (u_x_ + v) / (1 + v * u_x_ / c^2) // calculation of Velocity of photon with respect to another
+m = m_0 / sqrt(1 - (u_x / c)^2) // calculation of Relativistic mass of particle with respect to another
+printf ("\n Velocity of photon with respect to another is %e m/s.",u_x)
+printf ("\n Relativistic mass of particle with respect to another is %e kg.",m)
diff --git a/1172/CH6/EX6.12.2/6_12b.txt b/1172/CH6/EX6.12.2/6_12b.txt new file mode 100755 index 000000000..7a14a153a --- /dev/null +++ b/1172/CH6/EX6.12.2/6_12b.txt @@ -0,0 +1,5 @@ + # Problem 12b #
+
+ standard formula used
+ m = m_o/ sqrt ( 1- (v/c)^2)
+ Relativistic mass of particle with respect to another is 7.946525e-25 m/s
diff --git a/1172/CH6/EX6.12.2/Example6_14b.sce b/1172/CH6/EX6.12.2/Example6_14b.sce new file mode 100755 index 000000000..20241230c --- /dev/null +++ b/1172/CH6/EX6.12.2/Example6_14b.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+ratio = 1.95e+03 // Ratio of relativistic mass and rest mass
+// sample problem 14b page No. 227
+printf("\n \n\n # Problem 14b # \n")
+printf("\n Standard formula used \n m = m_o/ sqrt ( 1- (v/c)^2)")
+ratio_1 = 1 /(2* ratio^2) // calculation of ratio of velocity to velocity of light for
+printf ("\n Ratio of velocity to velocity of light for particle is 1 - %e .", ratio_1 )
+
+
diff --git a/1172/CH6/EX6.13/6_13.txt b/1172/CH6/EX6.13/6_13.txt new file mode 100755 index 000000000..8a2a966f5 --- /dev/null +++ b/1172/CH6/EX6.13/6_13.txt @@ -0,0 +1,7 @@ + # Problem 13 #
+
+ Standard formula used
+ m = m_o/ sqrt ( 1- (v/c)^2)
+ and
+ l = l_o* sqrt ( 1- (v/c)^2)
+ Relativistic density of rod in moving frame is 1.015789e-01.
diff --git a/1172/CH6/EX6.13/Example6_13.sce b/1172/CH6/EX6.13/Example6_13.sce new file mode 100755 index 000000000..95679f1d7 --- /dev/null +++ b/1172/CH6/EX6.13/Example6_13.sce @@ -0,0 +1,12 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+u = 0.9*c // velocity of first particle with respect to other in m/s
+density1 = 19.3e-3 // density of gold in rest frame
+// sample problem 13 page No. 226
+printf("\n \n\n # Problem 13 # \n")
+printf("\n Standard formula used \n m = m_o/ sqrt ( 1- (v/c)^2) \n and \n l = l_o* sqrt ( 1- (v/c)^2) ")
+mass_ratio = sqrt (1 - (u/c)^2) // calculation of ratio of relativistic mass
+volume_ratio = 1 / sqrt (1 - (u/ c)^2) // calculation of ratio of relativistic volume
+density2 = density1 * (volume_ratio /mass_ratio ) //calculation of ratio of relativistic density
+printf ("\n Relativistic density of rod in moving frame is %e.",density2)
diff --git a/1172/CH6/EX6.14.1/6_14a.txt b/1172/CH6/EX6.14.1/6_14a.txt new file mode 100755 index 000000000..147c757a8 --- /dev/null +++ b/1172/CH6/EX6.14.1/6_14a.txt @@ -0,0 +1,5 @@ + # Problem 14a #
+
+ Standard formula used
+ E = m*c^2
+ Ratio of relativistic mass and rest mass of particle is 1.953602e+03.
diff --git a/1172/CH6/EX6.14.1/Example6_14a.sce b/1172/CH6/EX6.14.1/Example6_14a.sce new file mode 100755 index 000000000..6d761628b --- /dev/null +++ b/1172/CH6/EX6.14.1/Example6_14a.sce @@ -0,0 +1,13 @@ +clc
+//Given that
+E = 1e9 // energy of electron in eV
+c = 3e8 // speed of light in m/s
+m_0 = 9.1e-31 // mass of electron in kg
+// sample problem 14 page No. 227
+printf("\n \n\n # Problem 14a # \n")
+printf("\n Standard formula used \n E = m*c^2")
+m = E / c^2 * 1.6e-19 // calculation of relativistic mass of particle
+ratio = m / m_0// calculation of Ratio of relativistic mass and rest mass of particle
+printf ("\n Ratio of relativistic mass and rest mass of particle is %e.",ratio )
+
+
diff --git a/1172/CH6/EX6.14.2/6_14b.txt b/1172/CH6/EX6.14.2/6_14b.txt new file mode 100755 index 000000000..335114aeb --- /dev/null +++ b/1172/CH6/EX6.14.2/6_14b.txt @@ -0,0 +1,5 @@ + # Problem 14b #
+
+ Standard formula used
+ m = m_o/ sqrt ( 1- (v/c)^2)
+ Ratio of velocity to velocity of light for particle is 1 - 1.314924e-07 .
diff --git a/1172/CH6/EX6.14.2/Example6_14b.sce b/1172/CH6/EX6.14.2/Example6_14b.sce new file mode 100755 index 000000000..20241230c --- /dev/null +++ b/1172/CH6/EX6.14.2/Example6_14b.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+ratio = 1.95e+03 // Ratio of relativistic mass and rest mass
+// sample problem 14b page No. 227
+printf("\n \n\n # Problem 14b # \n")
+printf("\n Standard formula used \n m = m_o/ sqrt ( 1- (v/c)^2)")
+ratio_1 = 1 /(2* ratio^2) // calculation of ratio of velocity to velocity of light for
+printf ("\n Ratio of velocity to velocity of light for particle is 1 - %e .", ratio_1 )
+
+
diff --git a/1172/CH6/EX6.14.3/6_14c.txt b/1172/CH6/EX6.14.3/6_14c.txt new file mode 100755 index 000000000..9e27bea85 --- /dev/null +++ b/1172/CH6/EX6.14.3/6_14c.txt @@ -0,0 +1,5 @@ + # Problem 14c #
+
+ Standard formula used
+ E = m*c^2
+ Ratio of energy to rest mass energy is 1.975309e+03.
diff --git a/1172/CH6/EX6.14.3/Example6_14c.sce b/1172/CH6/EX6.14.3/Example6_14c.sce new file mode 100755 index 000000000..5d180c13a --- /dev/null +++ b/1172/CH6/EX6.14.3/Example6_14c.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+m = 9e-31 // mass in kg
+E = 1e9 // Energy of accelerated electron in eV
+c = 3e8 // speed of light in m/s
+// sample problem 14c page No. 227
+printf("\n \n\n # Problem 14c # \n")
+printf("\n Standard formula used \n E = m*c^2")
+E_0 = m * c^2// calculation of rest mass energy
+ratio = E / E_0 *1.6e-19// calculation of Ratio of energy to rest mass energy
+printf ("\n Ratio of energy to rest mass energy is %e.",ratio )
diff --git a/1172/CH6/EX6.15/6_15.txt b/1172/CH6/EX6.15/6_15.txt new file mode 100755 index 000000000..7a7c8f7cd --- /dev/null +++ b/1172/CH6/EX6.15/6_15.txt @@ -0,0 +1,5 @@ + # Problem 15 #
+
+ Standard formula used
+ l = l_o* sqrt ( 1- (v/c)^2)
+ Proper length of rod is 1.250000 m.
diff --git a/1172/CH6/EX6.15/Example6_15.sce b/1172/CH6/EX6.15/Example6_15.sce new file mode 100755 index 000000000..10fa06e38 --- /dev/null +++ b/1172/CH6/EX6.15/Example6_15.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.6 * c // velocity of rod wrt laboratory
+l_ = 1 // length of rod measured by observer in lab
+// sample problem 15 page No. 228
+printf("\n \n\n # Problem 15 # \n")
+printf("\n Standard formula used \n l = l_o* sqrt ( 1- (v/c)^2)")
+l = l_ / sqrt (1 - (v / c)^2) // calculation of Proper length of rod
+printf ("\n Proper length of rod is %f m.",l )
+
diff --git a/1172/CH6/EX6.16/6_16.txt b/1172/CH6/EX6.16/6_16.txt new file mode 100755 index 000000000..1bfd2d40f --- /dev/null +++ b/1172/CH6/EX6.16/6_16.txt @@ -0,0 +1,5 @@ + # Problem 16 #
+
+ Standard formula used
+ t = t_o /sqrt ( 1- (v/c)^2)
+ New mean life time is 5.735393e-08 s.
diff --git a/1172/CH6/EX6.16/Example6_16.sce b/1172/CH6/EX6.16/Example6_16.sce new file mode 100755 index 000000000..2ce93464b --- /dev/null +++ b/1172/CH6/EX6.16/Example6_16.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.9 * c // velocity of rod wrt laboratory
+proper_time = 2.5e-8 // proper mean life time of mesons
+// sample problem 16 page No. 228
+printf("\n \n\n # Problem 16 # \n")
+printf("\n Standard formula used \n t = t_o /sqrt ( 1- (v/c)^2)")
+t = proper_time / sqrt (1 - (v / c)^2) // calculation of New mean life time
+printf ("\n New mean life time is %e s.",t )
diff --git a/1172/CH6/EX6.17/6_17.txt b/1172/CH6/EX6.17/6_17.txt new file mode 100755 index 000000000..9982c93d1 --- /dev/null +++ b/1172/CH6/EX6.17/6_17.txt @@ -0,0 +1,8 @@ + # Problem 17 #
+
+ Standard formula used
+ m = m_o* sqrt ( 1- (v/c)^2)
+ and
+ E=m*c^2
+ Velocity of electron is 2.587160e+08 m/s.
+
diff --git a/1172/CH6/EX6.17/Example6_17.sce b/1172/CH6/EX6.17/Example6_17.sce new file mode 100755 index 000000000..f85805e22 --- /dev/null +++ b/1172/CH6/EX6.17/Example6_17.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+E = 1 // energy of electron in MeV
+c = 3e8 // speed of light in m/s
+m_0 = 9e-31 // rest mass of electron
+// sample problem 17 page No. 229
+printf("\n \n\n # Problem 17 # \n")
+printf("\n Standard formula used \n m = m_o* sqrt ( 1- (v/c)^2) \n and \n E=m*c^2")
+m = E * 1.6e-13 / c^2// calculation of mass of electron
+v = c * sqrt(1 - (m_0 / m)^2) // calculation of Velocity of electron
+printf ("\n Velocity of electron is %e m/s.",v )
diff --git a/1172/CH6/EX6.19/6_19.txt b/1172/CH6/EX6.19/6_19.txt new file mode 100755 index 000000000..bf6df08ce --- /dev/null +++ b/1172/CH6/EX6.19/6_19.txt @@ -0,0 +1,5 @@ + # Problem 19 #
+
+ Standard formula used
+ t = t_o /sqrt ( 1- (v/c)^2)
+ Distance traveled by particle is 4.631830e+03 m.
diff --git a/1172/CH6/EX6.19/Example6_19.sce b/1172/CH6/EX6.19/Example6_19.sce new file mode 100755 index 000000000..10875e822 --- /dev/null +++ b/1172/CH6/EX6.19/Example6_19.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.99 * c // velocity of particle
+proper_time = 2.2e-6 // proper mean life time of mesons
+// sample problem 19 page No. 230
+printf("\n \n\n # Problem 19 # \n")
+printf("\n Standard formula used \n t = t_o /sqrt ( 1- (v/c)^2)")
+t = proper_time / sqrt (1 - (v / c)^2) // calculation of time period
+d = v *t// calculation of Distance travelled by particle
+printf ("\n Distance traveled by particle is %e m.",d )
diff --git a/1172/CH6/EX6.2/6_2.txt b/1172/CH6/EX6.2/6_2.txt new file mode 100755 index 000000000..4cb7ce6da --- /dev/null +++ b/1172/CH6/EX6.2/6_2.txt @@ -0,0 +1,6 @@ + # Problem 2 #
+
+ Standard formula used is u_x = (u_x_ + v) / (1 + v * u_x_ / c^2)
+ Velocity of photon with respect to another is -1 * c
+ Thus photons are approaching each other.
+
diff --git a/1172/CH6/EX6.2/Example6_2.sce b/1172/CH6/EX6.2/Example6_2.sce new file mode 100755 index 000000000..3f4ed9a0a --- /dev/null +++ b/1172/CH6/EX6.2/Example6_2.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+u_x_ = -3e8 // velocity of first photon in ground frame in m/s
+v = -3e8 // velocity of second photon in ground frame in m/s
+// sample problem 2 page No. 222
+printf("\n \n\n # Problem 2 # \n")
+printf("\n Standard formula used is u_x = (u_x_ + v) / (1 + v * u_x_ / c^2) ")
+u_x = (u_x_ + v) / (1 + v * u_x_ / c^2) // calculation of Velocity of photon with respect to another
+printf ("\n Velocity of photon with respect to another is %d * c \n Thus photons are approaching each other.",u_x / c)
diff --git a/1172/CH6/EX6.20/6_20.txt b/1172/CH6/EX6.20/6_20.txt new file mode 100755 index 000000000..08a0f3b17 --- /dev/null +++ b/1172/CH6/EX6.20/6_20.txt @@ -0,0 +1,5 @@ + # Problem 20 #
+
+ Standard formula used
+ m = m_o* sqrt ( 1- (v/c)^2)
+ Velocity required to increase mass by one perfect is 4.211123e+07 m/s.
diff --git a/1172/CH6/EX6.20/Example6_20.sce b/1172/CH6/EX6.20/Example6_20.sce new file mode 100755 index 000000000..87968755c --- /dev/null +++ b/1172/CH6/EX6.20/Example6_20.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+m = 1 // let
+m_change = 1 // change in mass in percentage by increasing velocity
+// sample problem 20 page No. 230
+printf("\n \n\n # Problem 20 # \n")
+printf("\n Standard formula used \n m = m_o* sqrt ( 1- (v/c)^2) ")
+v = c * sqrt (1 - (m / (m + m_change/100))^2) // calculation of Velocity required to increase mass by one percent
+printf ( "\n Velocity required to increase mass by one perfect is %e m/s.", v)
diff --git a/1172/CH6/EX6.21/6_21.txt b/1172/CH6/EX6.21/6_21.txt new file mode 100755 index 000000000..20af46482 --- /dev/null +++ b/1172/CH6/EX6.21/6_21.txt @@ -0,0 +1,5 @@ + # Problem 21 #
+
+ Standard formula used
+ m = m_o* sqrt ( 1- (v/c)^2)
+ Velocity required to increase mass by 2000 times is 3.000000e+08 - 37.500002 m/s.
diff --git a/1172/CH6/EX6.21/Example6_21.sce b/1172/CH6/EX6.21/Example6_21.sce new file mode 100755 index 000000000..f51f2088d --- /dev/null +++ b/1172/CH6/EX6.21/Example6_21.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+m_ratio = 2000 // ratio of rest mass and relativistic mass
+// sample problem 21 page No. 231
+printf("\n \n\n # Problem 21 # \n")
+printf("\n Standard formula used \n m = m_o* sqrt ( 1- (v/c)^2) ")
+v = c * sqrt (1 - (1/m_ratio)^2) // calculation of Velocity required to increase mass by 2000 times
+
+printf( "\n Velocity required to increase mass by 2000 times is %e - %f m/s.",c, (c -v))
diff --git a/1172/CH6/EX6.22/6_22.txt b/1172/CH6/EX6.22/6_22.txt new file mode 100755 index 000000000..dc415b953 --- /dev/null +++ b/1172/CH6/EX6.22/6_22.txt @@ -0,0 +1,6 @@ +
+ # Problem 22 #
+
+ Standard formula used
+ E_total = E_rest + E_kinetic
+ Energy of each particle is 11.920250 MeV.
diff --git a/1172/CH6/EX6.22/Example6_22.sce b/1172/CH6/EX6.22/Example6_22.sce new file mode 100755 index 000000000..d579b60af --- /dev/null +++ b/1172/CH6/EX6.22/Example6_22.sce @@ -0,0 +1,13 @@ +clc
+//Given that
+h = 6.63e-34 // plank's constant
+c = 3e8 // speed of light in m/s
+lambda = 5e-4 // wavelength of photon in angstrom
+e_rest_mass = 0.511 // rest mass of electron in Mev/c^2
+p_rest_mass = 0.511 // rest mass of electron in Mev/c^2
+// sample problem 22 page No. 230
+printf("\n \n\n # Problem 22 # \n")
+printf("\n Standard formula used \n E_total = E_rest + E_kinetic")
+k = (((h * c / (lambda * 1.6e-23 )) - (e_rest_mass + p_rest_mass))) /2 // calculation of Energy of each particle
+printf( "\n Energy of each particle is %f MeV.", k )
+
diff --git a/1172/CH6/EX6.23/6_23.txt b/1172/CH6/EX6.23/6_23.txt new file mode 100755 index 000000000..512f46f08 --- /dev/null +++ b/1172/CH6/EX6.23/6_23.txt @@ -0,0 +1,5 @@ + # Problem 23 #
+
+ Standard formula used
+ E = h* c / lambda
+ Threshold wavelength for proton - antiproton production is 6.626466 angstrom.
diff --git a/1172/CH6/EX6.23/Example6_23.sce b/1172/CH6/EX6.23/Example6_23.sce new file mode 100755 index 000000000..e45f6ebf3 --- /dev/null +++ b/1172/CH6/EX6.23/Example6_23.sce @@ -0,0 +1,12 @@ +clc
+//Given that
+h = 6.63e-34 // plank's constant
+c = 3e8 // speed of light in m/s
+p_rest_mass = 938 // rest mass of proton in Mev/
+ap_rest_mass = 938 // rest mass of antiproton in Mev
+// sample problem 23 page No. 232
+printf("\n \n\n # Problem 23 # \n")
+printf("\n Standard formula used \n E = h* c / lambda")
+lambda = h * c / ((p_rest_mass + ap_rest_mass) * 1.6e-19) // calculation of Threshold wavelength for proton - antiproton production
+printf( "\n Threshold wavelength for proton - antiproton production is %f angstrom.", lambda / 1e-10)
+
diff --git a/1172/CH6/EX6.24/6_24.txt b/1172/CH6/EX6.24/6_24.txt new file mode 100755 index 000000000..bf1b0c6f6 --- /dev/null +++ b/1172/CH6/EX6.24/6_24.txt @@ -0,0 +1,5 @@ +# Problem 24 #
+
+ Standard formula used E^2 = p^2*c^2 + m_o^2*c^4*
+ Momentum of photon is 9.044679e-16 kg m/s.
+
diff --git a/1172/CH6/EX6.24/Example6_24.sce b/1172/CH6/EX6.24/Example6_24.sce new file mode 100755 index 000000000..53c80e34e --- /dev/null +++ b/1172/CH6/EX6.24/Example6_24.sce @@ -0,0 +1,13 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+p_rest_mass = 0.938 // rest mass energy of proton in BeV
+KE = 1 // kinetic energy of proton in BeV
+// sample problem 24 page No. 232
+printf("\n \n\n # Problem 24 # \n")
+printf("\n Standard formula used E^2 = p^2*c^2 + m_o^2*c^4*")
+E = KE + p_rest_mass// calculation of energy of particle
+p = (sqrt (E^2 *1e6 - (p_rest_mass * 1e3)^2)) *(1.6e-19)*(1e9) / c// calculation of Momentum of photon
+printf( "\n Momentum of photon is %e kg m/s.", p)
+
+
diff --git a/1172/CH6/EX6.26/6_26.txt b/1172/CH6/EX6.26/6_26.txt new file mode 100755 index 000000000..c8515e930 --- /dev/null +++ b/1172/CH6/EX6.26/6_26.txt @@ -0,0 +1,6 @@ +
+ # Problem 26 #
+
+ Standard formula used
+ l = l_o* sqrt ( 1- (v/c)^2)
+ Relative speed of meson with respect to earth is 0.972387 c .
diff --git a/1172/CH6/EX6.26/Example6_26.sce b/1172/CH6/EX6.26/Example6_26.sce new file mode 100755 index 000000000..38361cb2e --- /dev/null +++ b/1172/CH6/EX6.26/Example6_26.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+t = 8e-6 // mean life of meson
+l = 10 // distance of meson from earth surface
+// sample problem 26 page No. 228
+printf("\n \n\n # Problem 26 # \n")
+printf("\n Standard formula used \n l = l_o* sqrt ( 1- (v/c)^2)")
+v = l*1e3/ sqrt( t^2 +(l * 1e3 /c)^2) // calculation of relative speed of meson with respect to
+printf ("\n Relative speed of meson with respect to earth is %f c .",v/c )
diff --git a/1172/CH6/EX6.27/6_27.txt b/1172/CH6/EX6.27/6_27.txt new file mode 100755 index 000000000..d0183e52f --- /dev/null +++ b/1172/CH6/EX6.27/6_27.txt @@ -0,0 +1,6 @@ +
+ # Problem 27 #
+
+ Standard formula used
+ E_total = KE + E_mass
+ Kinetic energy of proton is 627MeV.
diff --git a/1172/CH6/EX6.27/Example6_27.sce b/1172/CH6/EX6.27/Example6_27.sce new file mode 100755 index 000000000..c49135732 --- /dev/null +++ b/1172/CH6/EX6.27/Example6_27.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.8 *c // velocity of rod in m/s
+m_0 = 1.673e-27 // rest mass of proton in kg
+// sample problem 27 page No. 228
+printf("\n \n\n # Problem 27 # \n")
+printf("\n Standard formula used \n E_total = KE + E_mass")
+K_E = m_0 * c^2 *(1/sqrt(1-(v/c)^2) - 1) / 1.6e-13 // calculation of Kinetic energy of proton
+printf ("\n Kinetic energy of proton is %dMeV.", K_E )
+
diff --git a/1172/CH6/EX6.3/6_3.txt b/1172/CH6/EX6.3/6_3.txt new file mode 100755 index 000000000..14e219740 --- /dev/null +++ b/1172/CH6/EX6.3/6_3.txt @@ -0,0 +1,5 @@ +
+ # Problem 3 #
+
+ Standard formula used is u_x = (u_x_ + v) / (1 + v * u_x_ / c^2)
+ Velocity of photon with respect to another is -0.994475 c.
diff --git a/1172/CH6/EX6.3/Example6_3.sce b/1172/CH6/EX6.3/Example6_3.sce new file mode 100755 index 000000000..4aa5f6b5f --- /dev/null +++ b/1172/CH6/EX6.3/Example6_3.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+u_x_ = -0.9 * c // velocity of first spaceship in ground frame in m/s
+v = -0.9 *c // velocity of second spaceship in ground frame in m/s
+// sample problem 3 page No. 222
+printf("\n \n\n # Problem 3 # \n")
+printf("\n Standard formula used is u_x = (u_x_ + v) / (1 + v * u_x_ / c^2) ")
+u_x = (u_x_ + v) / (1 + v * u_x_ / c^2) // calculation of Velocity of photon
+printf ("\n Velocity of photon with respect to another is %f c.", u_x / c)
+
diff --git a/1172/CH6/EX6.4/6_4.txt b/1172/CH6/EX6.4/6_4.txt new file mode 100755 index 000000000..b82ad6e2c --- /dev/null +++ b/1172/CH6/EX6.4/6_4.txt @@ -0,0 +1,6 @@ + # Problem 4 #
+
+ Standard formula used
+ E = m*c^2
+ Amount of mass consumed is 30 kg.
+
diff --git a/1172/CH6/EX6.4/Example6_4.sce b/1172/CH6/EX6.4/Example6_4.sce new file mode 100755 index 000000000..c66ceb845 --- /dev/null +++ b/1172/CH6/EX6.4/Example6_4.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+E = 7.5e11 // Energy in kWh
+c = 3e8 // speed of light in m/s
+// sample problem 4 page No. 223
+printf("\n \n\n # Problem 4 # \n")
+printf("\n Standard formula used \n E = m*c^2")
+m = (E *3.6e6) / c^2// calculation of Amount of mass consumed
+
+printf ("\n Amount of mass consumed is %d kg.", m)
+
diff --git a/1172/CH6/EX6.5/6_5.txt b/1172/CH6/EX6.5/6_5.txt new file mode 100755 index 000000000..eaee257dc --- /dev/null +++ b/1172/CH6/EX6.5/6_5.txt @@ -0,0 +1,6 @@ + # Problem 5 #
+
+ Standard formula used
+ E = m*c^2
+ Amount of energy produced is 3.600000e+17 J.
+
diff --git a/1172/CH6/EX6.5/Example6_5.sce b/1172/CH6/EX6.5/Example6_5.sce new file mode 100755 index 000000000..5332c768f --- /dev/null +++ b/1172/CH6/EX6.5/Example6_5.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+m = 4 // mass of substance consumed fully in kg
+c = 3e8 // speed of light in m/s
+// sample problem 5 page No. 223
+printf("\n \n\n # Problem 5 # \n")
+printf("\n Standard formula used \n E = m*c^2")
+E = m * c^2// calculation of Amount of energy produced
+printf ("\n Amount of energy produced is %e J.", E)
+
+
diff --git a/1172/CH6/EX6.6/6_6.txt b/1172/CH6/EX6.6/6_6.txt new file mode 100755 index 000000000..4dbe35c47 --- /dev/null +++ b/1172/CH6/EX6.6/6_6.txt @@ -0,0 +1,5 @@ + # Problem 6 #
+
+ Standard formula used
+ m = m_o/ sqrt ( 1- (v/c)^2)
+ Relativistic mass of particle is 1.250000e-24 kg.
diff --git a/1172/CH6/EX6.6/Example6_6.sce b/1172/CH6/EX6.6/Example6_6.sce new file mode 100755 index 000000000..6d4963462 --- /dev/null +++ b/1172/CH6/EX6.6/Example6_6.sce @@ -0,0 +1,11 @@ +clc
+//Given that
+m_0 = 1e-24 // mass of moving particle in kg
+v = 1.8e8 // speed of particle in m/s
+c = 3e8 // speed of light in m/s
+// sample problem 6 page No. 223
+printf("\n \n\n # Problem 6 # \n")
+printf("\n Standard formula used \n m = m_o/ sqrt ( 1- (v/c)^2)")
+m = m_0 / sqrt(1 - (v / c)^2) // calculation of Relativistic mass of particle
+printf ("\n Relativistic mass of particle is %e kg.", m)
+
diff --git a/1172/CH6/EX6.7/6_7.txt b/1172/CH6/EX6.7/6_7.txt new file mode 100755 index 000000000..71e1aa8c9 --- /dev/null +++ b/1172/CH6/EX6.7/6_7.txt @@ -0,0 +1,5 @@ + # Problem 7 #
+
+ Standard formula used
+ m = m_o/sqrt ( 1- (v/c)^2)
+ Ratio of rest mass and relativistic mass of particle is 0.866025.
diff --git a/1172/CH6/EX6.7/Example6_7.sce b/1172/CH6/EX6.7/Example6_7.sce new file mode 100755 index 000000000..2ef65448d --- /dev/null +++ b/1172/CH6/EX6.7/Example6_7.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 0.5 * c // speed of particle in m/s
+// sample problem 7 page No. 223
+printf("\n \n\n # Problem 7 # \n")
+printf("\n Standard formula used \n m = m_o/sqrt ( 1- (v/c)^2)")
+ratio = sqrt(1- (v /c)^2) // calculation of Ratio of rest mass and relativistic mass of particle
+printf ("\n Ratio of rest mass and relativistic mass of particle is %f.", ratio)
+
diff --git a/1172/CH6/EX6.8.1/6_8a.txt b/1172/CH6/EX6.8.1/6_8a.txt new file mode 100755 index 000000000..ed89d5435 --- /dev/null +++ b/1172/CH6/EX6.8.1/6_8a.txt @@ -0,0 +1,5 @@ + # Problem 8a #
+
+ Standard formula used
+ l = l_o* sqrt ( 1- (v/c)^2)
+ Speed of spaceship is 2.598076e+08 m/s.
diff --git a/1172/CH6/EX6.8.1/Example6_8a.sce b/1172/CH6/EX6.8.1/Example6_8a.sce new file mode 100755 index 000000000..f2d73a16a --- /dev/null +++ b/1172/CH6/EX6.8.1/Example6_8a.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+ratio = 0.5 // Ratio of lengths of spaceship
+c = 3e8 // speed of light in m/s
+// sample problem 8a page No. 224
+printf("\n \n\n # Problem 8a # \n")
+printf("\n Standard formula used \n l = l_o* sqrt ( 1- (v/c)^2)")
+v = c * sqrt(1 - ratio^2) // calculation of Speed of spaceship
+printf ("\n Speed of spaceship is %e m/s.",v)
+
diff --git a/1172/CH6/EX6.8.2/6_8b.txt b/1172/CH6/EX6.8.2/6_8b.txt new file mode 100755 index 000000000..a1960b44c --- /dev/null +++ b/1172/CH6/EX6.8.2/6_8b.txt @@ -0,0 +1,5 @@ + # Problem 8b #
+
+ Standard formula used
+ t= t_o/ sqrt ( 1- (v/c)^2)
+ Time corresponding to 1 sec is 2 sec.
diff --git a/1172/CH6/EX6.8.2/Example6_8b.sce b/1172/CH6/EX6.8.2/Example6_8b.sce new file mode 100755 index 000000000..053f25246 --- /dev/null +++ b/1172/CH6/EX6.8.2/Example6_8b.sce @@ -0,0 +1,10 @@ +clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 2.598e8 // speed of spaceship
+t_0 = 1 // time in second
+// sample problem 8b page No. 224
+printf("\n \n\n # Problem 8b # \n")
+printf("\n Standard formula used \n t= t_o/ sqrt ( 1- (v/c)^2)")
+t = t_0 / sqrt(1 - (v ^2 / c ^2) ) // calculation of Time corresponding to 1 sec
+printf ("\n Time corresponding to 1 sec is %d sec.",ceil (t) )
diff --git a/1172/CH6/EX6.9/6_9.txt b/1172/CH6/EX6.9/6_9.txt new file mode 100755 index 000000000..fdacf11e9 --- /dev/null +++ b/1172/CH6/EX6.9/6_9.txt @@ -0,0 +1,5 @@ +
+ # Problem 9 #
+
+ Standard formula used
+ Lifetime of meson is 3.333333e-08 sec.
diff --git a/1172/CH6/EX6.9/Example6_9.sce b/1172/CH6/EX6.9/Example6_9.sce new file mode 100755 index 000000000..0319eca05 --- /dev/null +++ b/1172/CH6/EX6.9/Example6_9.sce @@ -0,0 +1,11 @@ +
+clc
+//Given that
+c = 3e8 // speed of light in m/s
+v = 2.4e8 // speed of meson
+t_0 = 2e-8 // lifetime of meson in second
+// sample problem 9 page No. 224
+printf("\n \n\n # Problem 9 # \n")
+printf("\n Standard formula used ")
+t = t_0 / sqrt(1 - (v / c )^2 ) // calculation of Lifetime of meson
+printf ("\n Lifetime of meson is %e sec.", t )
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