Concept explainers
(a)
Show that for non-relativistic particles
(a)
Answer to Problem 43P
The non-relativistic particles
Explanation of Solution
According to the conservation of momentum for the masses of daughter nucleus and alpha particle,
Here,
According to the conservation of energy for the alpha decay process,
Here,
The disintegration energy is given by,
Rewrite the equation (I) for
Conclusion:
Substitute
Hence, proved the non-relativistic particles
(b)
The energy of the alpha particle emitted in the decay of 226Ra.
(b)
Answer to Problem 43P
The energy of the alpha particle emitted in the decay of 226Ra is
Explanation of Solution
From part (a),
The expression for energy of the alpha particle emitted in the decay of 226Ra is,
Here,
Conclusion:
Substitute
Therefore, The energy of the alpha particle emitted in the decay of 226Ra is
(c)
The kinetic energy of the daughter nucleus.
(c)
Answer to Problem 43P
The kinetic energy of the daughter nucleus is
Explanation of Solution
From part (a),
The expression for energy of the daughter nucleus emitted in the decay process is,
Here,
Conclusion:
Substitute
Therefore, the kinetic energy of the daughter nucleus is
(d)
The daughter nucleus carries off negligible amount of kinetic energy in beta decay and answer an approximation.
(d)
Answer to Problem 43P
The daughter nucleus carries off negligible amount of kinetic energy in beta decay is
Explanation of Solution
For the beta decay of
Here,
Rewrite the above relation for
Conclusion:
Substitute
Consider
The above condition is for
Want to see more full solutions like this?
Chapter 13 Solutions
Modern Physics, 3rd Edition
- (a) Calculate the energy released in the neutron- Induced fission reaction n+235U92Kr+142Ba+2n , given m(92Kr) = 91.926269 u and m(142Ba)= 141.916361 u. (b) Confirm that the total number of nucleons and total charge are conserved in this reaction.arrow_forwardSuppose you have a pure radioactive material with a half-life of T1/2. You begin with N0 undecayed nuclei of the material at t = 0. At t=12T1/2, how many of the nuclei have decayed? (a) 14N0 (b) 12N0(C) 34N0 (d) 0.707N0 (e) 0.293N0arrow_forward(a) How many 239Pu nuclei must fission to produce a 20.0kT yield, assuming 200 MeV per fission? (b) What is the mass of this much 239Pu?arrow_forward
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College