Explanation The α decay of 92 236 U is given as, 92 236 U → 90 232 Th + 2 4 He Write the expression to obtain the height of the coulomb barrier for α decay of 92 236 U which is given by the electrostatic potential energy. U α = 1 4 π ε 0 Q α Q Th ( r α + r Th ) (I) Here, U α is the electric potential energy of the α decay of 92 236 U , ε 0 is the permittivity in free space, Q α is the charge of nucleus of the α particle, Q Th is the change of the nucleus of thorium and r α is the radius of the nucleus of the α particle and r Th is the radius of the nucleus of the theorem. Write the expression to obtain the fission of 92 236 U which results into two palladium nuclei which is given by the electrostatic potential energy. U fission = 1 4 π ε 0 Q Pd Q Pd ( r Pd + r Pd ) (II) Here, U fission is the electric potential energy of the fission of 92 236 U , ε 0 is the permittivity in free space, Q Pd is the charge of nucleus of the palladium and r Pd is the radius of the nucleus of the palladium. Write the expression to obtain the radius of the nucleus. r = ( 1.2 × 10 − 15 m ) ( A ) 1 / 3 (III) Here, r is the radius of the nucleus and A is the atomic number. Conclusion: Substitute 4 for A in equation (III) to calculate r α . r α = ( 1.2 × 10 − 15 m ) ( 4 ) 1 / 3 Substitute 232 for A in equation (III) to calculate r Th . r α = ( 1.2 × 10 − 15 m ) ( 232 ) 1 / 3 Substitute 8.99 × 10 9 N ⋅ m 2 / C 2 for 1 / 4 π ε 0 , 2 ( 1.60 × 10 − 19 C ) for Q α , 90 ( 1.60 × 10 − 19 C ) for Q Th , ( 1.2 × 10 − 15 m ) ( 4 ) 1 / 3 for r α and ( 1.2 × 10 − 15 m ) ( 232 ) 1 / 3 for r Th in equation (I) to calculate U α . U α = ( 8.99 × 10 9 N ⋅ m 2 / C 2 ) [ 2 ( 1.60 × 10 − 19 C ) ] [ 90 ( 1.60 × 10 − 19 C ) ] ( 1.2 × 10 − 15 m ) ( 4 ) 1 / 3 + ( 1.2 × 10 − 15 m ) ( 232 ) 1 / 3 = ( 8.99 × 10 9 N ⋅ m 2 / C 2 ) ( 2 ) ( 90 ) ( 1.60 × 10 − 19 C ) 2 [ ( 4 ) 1 / 3 + ( 232 ) 1 / 3 ] ( 1.2 × 10 − 15 m ) (IV) Substitute 128 for A in equation (III) to calculate r Pd

LATEST Edition

ISBN: 9781269651639

Author: GIANCOLI

Publisher: Pearson Custom Publishing

See similar textbooks

Concept explainers

Stellar evolution

We may see thousands of stars in the dark sky. Our universe consists of billions of stars. Stars may appear tiny to us but they are huge balls of gasses. Sun is a star of average size. Some stars are even a thousand times larger than the sun. The stars d…

Red Shift

It is an astronomical phenomenon. In this phenomenon, increase in wavelength with corresponding decrease in photon energy and frequency of radiation of light. It is the displacement of spectrum of any kind of astronomical object to the longer wavelengths…

Question

Chapter 42, Problem 33P

To determine

The ratio of the height of the Coulomb barrier for α decay to that for fission of 92236U.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 42, Problem 32P

Chapter 42, Problem 34P

Chapter 42 Solutions

PHYSIC FOR SCI & ENGINEERS W/MASTERING

Ch. 42.1 - Prob. 1AE Ch. 42.3 - Prob. 1BE Ch. 42.4 - Return to the first Chapter-Opening Question, page...Ch. 42.4 - Prob. 1DE Ch. 42.6 - Prob. 1EE Ch. 42 - Prob. 1Q Ch. 42 - Prob. 2Q Ch. 42 - Prob. 3Q Ch. 42 - Why are neutrons such good projectiles for...Ch. 42 - Prob. 5Q

Ch. 42 - Prob. 6Q Ch. 42 - Prob. 7Q Ch. 42 - Prob. 8Q Ch. 42 - Prob. 9Q Ch. 42 - Prob. 10Q Ch. 42 - Prob. 11Q Ch. 42 - Why would a porous block of uranium be more likely...Ch. 42 - Prob. 13Q Ch. 42 - Prob. 14Q Ch. 42 - Prob. 15Q Ch. 42 - Prob. 16Q Ch. 42 - Prob. 17Q Ch. 42 - Prob. 18Q Ch. 42 - Prob. 19Q Ch. 42 - Prob. 20Q Ch. 42 - Prob. 21Q Ch. 42 - Prob. 22Q Ch. 42 - Prob. 23Q Ch. 42 - Prob. 24Q Ch. 42 - Prob. 25Q Ch. 42 - How might radioactive tracers be used to find a...Ch. 42 - Prob. 1P Ch. 42 - Prob. 2P Ch. 42 - Prob. 3P Ch. 42 - Prob. 4P Ch. 42 - Prob. 5P Ch. 42 - Prob. 6P Ch. 42 - Prob. 7P Ch. 42 - Prob. 8P Ch. 42 - Prob. 9P Ch. 42 - Prob. 10P Ch. 42 - Prob. 11P Ch. 42 - Prob. 12P Ch. 42 - Prob. 13P Ch. 42 - Prob. 14P Ch. 42 - Prob. 15P Ch. 42 - Prob. 16P Ch. 42 - Prob. 17P Ch. 42 - Prob. 18P Ch. 42 - (I) What is the effective cross section for the...Ch. 42 - Prob. 20P Ch. 42 - Prob. 21P Ch. 42 - Prob. 22P Ch. 42 - Prob. 23P Ch. 42 - Prob. 24P Ch. 42 - Prob. 25P Ch. 42 - Prob. 26P Ch. 42 - Prob. 27P Ch. 42 - Prob. 28P Ch. 42 - Prob. 29P Ch. 42 - Prob. 30P Ch. 42 - Prob. 31P Ch. 42 - Prob. 32P Ch. 42 - Prob. 33P Ch. 42 - Prob. 34P Ch. 42 - Prob. 35P Ch. 42 - Prob. 36P Ch. 42 - Prob. 37P Ch. 42 - Prob. 38P Ch. 42 - Prob. 39P Ch. 42 - Prob. 40P Ch. 42 - Prob. 41P Ch. 42 - Prob. 42P Ch. 42 - Prob. 43P Ch. 42 - Prob. 44P Ch. 42 - Prob. 45P Ch. 42 - Prob. 46P Ch. 42 - Prob. 47P Ch. 42 - Prob. 48P Ch. 42 - Prob. 49P Ch. 42 - Prob. 50P Ch. 42 - Prob. 51P Ch. 42 - Prob. 52P Ch. 42 - Prob. 53P Ch. 42 - Prob. 54P Ch. 42 - Prob. 55P Ch. 42 - Prob. 56P Ch. 42 - Prob. 57P Ch. 42 - Prob. 58P Ch. 42 - Prob. 59P Ch. 42 - Prob. 60P Ch. 42 - Prob. 61P Ch. 42 - Prob. 62P Ch. 42 - Prob. 63P Ch. 42 - Prob. 64P Ch. 42 - Prob. 65GP Ch. 42 - Prob. 66GP Ch. 42 - Prob. 67GP Ch. 42 - Prob. 68GP Ch. 42 - Prob. 69GP Ch. 42 - Prob. 70GP Ch. 42 - Prob. 71GP Ch. 42 - Prob. 72GP Ch. 42 - Prob. 73GP Ch. 42 - Prob. 74GP Ch. 42 - Prob. 75GP Ch. 42 - Prob. 76GP Ch. 42 - Prob. 77GP Ch. 42 - Prob. 78GP Ch. 42 - Prob. 79GP Ch. 42 - Prob. 80GP Ch. 42 - Prob. 81GP Ch. 42 - Prob. 82GP Ch. 42 - Prob. 83GP Ch. 42 - Prob. 84GP Ch. 42 - Prob. 85GP Ch. 42 - Prob. 86GP Ch. 42 - Prob. 87GP Ch. 42 - Prob. 88GP

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning