Physics 4e03 Final 2002
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Physics 4e03 Final 2002 as PDF for free.
More details
- Words: 934
- Pages: 3
Page 1 of 3
PHYSICS 4E03 Dr. Reza Nejat Day Class DURATION OF THE EXAMINATION: 3 HOURS MCMASTER UNIVERSITY FINAL EXAMINATION
APRIL 2002
THIS EXAMINATION INCLUDES 3 PAGES AND 7 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR COPY OF THIS PAPER IS COMPLETE. BRING ANY DISCREPANCY TO THE ATTENTION OF YOUR INVIGILATOR. INSTRUCTIONS: Answer all questions. Only the casio fx-991 calculator may be used. USEFULL INFORMATION IN THE LAST PAGE.
Q value for the reaction 14C8 ( p, n ) 14N 7 15 N are knowing that the neutron and proton separation energies of S n = 10.8377 MeV and S p = 10.2073 MeV, respectively.
1. (a) (9 marks) Calculate the
(b) (6 marks) The threshold energy,
Tth = ( -Q)
Tth , for X (a, b)Y reaction is given by:
mY + mb . Calculate the threshold energy for the above mY + mb - ma
reaction +
2. (a) (10 marks) We will study the capture of a low-energy positive pion , p , by a deuteron
p+ +d ® p+ p.
+
The spine and parity of the deuteron are 1 . The intrinsic spin of the pion is 0 . If the orbital angular momentum in the entrance channel is 0 , find the intrinsic parity of the pion. 3. a) (4 marks) Give the expected shell-model spin and parity assignment for the ground state of
41 21
Sc .
b) (6 marks) The spin-parity
I p and the energy levels in
154
Sm is given:
0 + (0 KeV), 2 + (82 Kev), 4 + (267 KeV). Predict the spin and parity of the 154 Sm a rotating next level. Can you predict the energy of the next level? Is nucleus or a vibrating nucleus? If it is a rotating, calculate its moment of inertia in eV.s2. Continued on page 2 1
Physics 4E03
Page 2 of 4
Ru has the following sequence of levels above it 0 + ground + + + + state: 2 (475 KeV), 0 (944 KeV), 2 (1103 KeV), 4 (1106). Draw an energy level diagram and show all reasonably probable g transition and their c) (5 marks)
102 44
domain multipole assignments. 242
4. (10 marks) Given that the activation energy of 94 Pu is 6.0 MeV, what is the minimum-energy alpha particle that can produce fission following bombardment of
238
U 146 target ?
Os leads only to an exited state of 191 77 Ir at 171 KeV. Compute the maximum kinetic energy of the b spectrum.
5. (10 marks)The
191 76
b decay of
6. (a) (6 marks) Nuclei of type
A , produced at a constant rate R , decay with a
l A to a stable nuclei of type B. Set up the differential equation for N A , and find N A (t ) . Assume N A (t = 0) = 0
decay constant
(b) (4 marks) The production rate of
56
Mn is 5.00 ´10 7 per second when a
55
Mn target is irradiated with a deuteron beam. Determine the activity of 56 Mn after 5 hours of bombardment. The half life of 56 Mn is 2.579 hours. 56 Assume that the target did not contain any Mn at the beginning of the irradiation. 7. (a) (8 marks) Use the semi-empirical mass formula 2
-1
B = av A - as A 3 - ac Z 2 A 3 - aaym ( N - Z ) 2 A to show that the energy released in symmetric fission A Z
A
A
X N ® 2Z Y N + 2Z Y N 2
2
2
2
is given by 2
1
-1
-2
Q = a s A 3 (1 - 2 3 ) + ac Z 2 A 3 (1 - 2 3 ) (b) (7 marks) Fission will be possible only when Q > 0 . Calculate the 2 minimum value of Z A for which fission can occur. Use aV = 15.5 MeV , as = 16.8 Mev , aC = 0.72 MeV , and sym = 23 MeV . Continued on page 3
2
Physics 4E03
Page 3 of 4
8. (a) (5 marks) What is four formula factor? Define it’s each component ? (b) (2 marks) How are the neutrino and antineutrino distinguished from each other? (c)
(4 marks) describe briefly an experiment which shows that parity is not conserved in b decay.
(d)
(4 marks) What are the selection rules for exceptions?
g decay. Are there any
Bonus: (5 marks) Summaries the main points of one of your classmate’s presentation; Or If you skipped their talk, summaries the main points of your own talk. Do not exceed half a page.
Useful informations: Sequence of states in Single Particle Shell Model
(1s1 2 ) (1 p3 2 ) (1 p1 2 ) (1d 5 2 ) (2 s1 2 ) (1d 3 2 ) (1 f 7 2 ) (2 p3 2 ) (1 f 5 2 ) (2 p1 2 ) (1g 9 2 ) (1g 7 2 ) (2d 5 2 ) (2d 3 2 ) (3s1 2 ) (1h11 2 ) symbol n 1 H 4 He 15 N 238 U 191 Os 191 Ir 242 Pu
Atomic mass Z 0 1 2 7 92 76 77 94
Constants: Electron mass = me = 5.485803 ´ 10–4 u = 0.511 Mev/c2 NA = 6.022045 ´ 1023 mole–1 1 u = 1.660566 ´ 10–27 kg = 931.502 Mev/c2 1 h = 6.58217 ´ 10–16 ev.s
End
3
Mass (u) 1.00866501 1.007825 4.002603 15.000109 238.050785 190.960920 190.960584 242.058737
PHYSICS 4E03 Dr. Reza Nejat Day Class DURATION OF THE EXAMINATION: 3 HOURS MCMASTER UNIVERSITY FINAL EXAMINATION
APRIL 2002
THIS EXAMINATION INCLUDES 3 PAGES AND 7 QUESTIONS. YOU ARE RESPONSIBLE FOR ENSURING THAT YOUR COPY OF THIS PAPER IS COMPLETE. BRING ANY DISCREPANCY TO THE ATTENTION OF YOUR INVIGILATOR. INSTRUCTIONS: Answer all questions. Only the casio fx-991 calculator may be used. USEFULL INFORMATION IN THE LAST PAGE.
Q value for the reaction 14C8 ( p, n ) 14N 7 15 N are knowing that the neutron and proton separation energies of S n = 10.8377 MeV and S p = 10.2073 MeV, respectively.
1. (a) (9 marks) Calculate the
(b) (6 marks) The threshold energy,
Tth = ( -Q)
Tth , for X (a, b)Y reaction is given by:
mY + mb . Calculate the threshold energy for the above mY + mb - ma
reaction +
2. (a) (10 marks) We will study the capture of a low-energy positive pion , p , by a deuteron
p+ +d ® p+ p.
+
The spine and parity of the deuteron are 1 . The intrinsic spin of the pion is 0 . If the orbital angular momentum in the entrance channel is 0 , find the intrinsic parity of the pion. 3. a) (4 marks) Give the expected shell-model spin and parity assignment for the ground state of
41 21
Sc .
b) (6 marks) The spin-parity
I p and the energy levels in
154
Sm is given:
0 + (0 KeV), 2 + (82 Kev), 4 + (267 KeV). Predict the spin and parity of the 154 Sm a rotating next level. Can you predict the energy of the next level? Is nucleus or a vibrating nucleus? If it is a rotating, calculate its moment of inertia in eV.s2. Continued on page 2 1
Physics 4E03
Page 2 of 4
Ru has the following sequence of levels above it 0 + ground + + + + state: 2 (475 KeV), 0 (944 KeV), 2 (1103 KeV), 4 (1106). Draw an energy level diagram and show all reasonably probable g transition and their c) (5 marks)
102 44
domain multipole assignments. 242
4. (10 marks) Given that the activation energy of 94 Pu is 6.0 MeV, what is the minimum-energy alpha particle that can produce fission following bombardment of
238
U 146 target ?
Os leads only to an exited state of 191 77 Ir at 171 KeV. Compute the maximum kinetic energy of the b spectrum.
5. (10 marks)The
191 76
b decay of
6. (a) (6 marks) Nuclei of type
A , produced at a constant rate R , decay with a
l A to a stable nuclei of type B. Set up the differential equation for N A , and find N A (t ) . Assume N A (t = 0) = 0
decay constant
(b) (4 marks) The production rate of
56
Mn is 5.00 ´10 7 per second when a
55
Mn target is irradiated with a deuteron beam. Determine the activity of 56 Mn after 5 hours of bombardment. The half life of 56 Mn is 2.579 hours. 56 Assume that the target did not contain any Mn at the beginning of the irradiation. 7. (a) (8 marks) Use the semi-empirical mass formula 2
-1
B = av A - as A 3 - ac Z 2 A 3 - aaym ( N - Z ) 2 A to show that the energy released in symmetric fission A Z
A
A
X N ® 2Z Y N + 2Z Y N 2
2
2
2
is given by 2
1
-1
-2
Q = a s A 3 (1 - 2 3 ) + ac Z 2 A 3 (1 - 2 3 ) (b) (7 marks) Fission will be possible only when Q > 0 . Calculate the 2 minimum value of Z A for which fission can occur. Use aV = 15.5 MeV , as = 16.8 Mev , aC = 0.72 MeV , and sym = 23 MeV . Continued on page 3
2
Physics 4E03
Page 3 of 4
8. (a) (5 marks) What is four formula factor? Define it’s each component ? (b) (2 marks) How are the neutrino and antineutrino distinguished from each other? (c)
(4 marks) describe briefly an experiment which shows that parity is not conserved in b decay.
(d)
(4 marks) What are the selection rules for exceptions?
g decay. Are there any
Bonus: (5 marks) Summaries the main points of one of your classmate’s presentation; Or If you skipped their talk, summaries the main points of your own talk. Do not exceed half a page.
Useful informations: Sequence of states in Single Particle Shell Model
(1s1 2 ) (1 p3 2 ) (1 p1 2 ) (1d 5 2 ) (2 s1 2 ) (1d 3 2 ) (1 f 7 2 ) (2 p3 2 ) (1 f 5 2 ) (2 p1 2 ) (1g 9 2 ) (1g 7 2 ) (2d 5 2 ) (2d 3 2 ) (3s1 2 ) (1h11 2 ) symbol n 1 H 4 He 15 N 238 U 191 Os 191 Ir 242 Pu
Atomic mass Z 0 1 2 7 92 76 77 94
Constants: Electron mass = me = 5.485803 ´ 10–4 u = 0.511 Mev/c2 NA = 6.022045 ´ 1023 mole–1 1 u = 1.660566 ´ 10–27 kg = 931.502 Mev/c2 1 h = 6.58217 ´ 10–16 ev.s
End
3
Mass (u) 1.00866501 1.007825 4.002603 15.000109 238.050785 190.960920 190.960584 242.058737
Related Documents
Physics 4e03 Final 2002
November 2019 24
Physics 4e03 Mt1 2002
November 2019 19
Physics 4e03 Mt2 2002
November 2019 18
Physics 4e03 Tt1 2003
November 2019 19
Physics 2b06 Final 2002
November 2019 26