8. DETAILS OSCOLPHYS2016 8.6.P.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (*He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.08 × 10¬13 j, and the masses of the helium and gold nuclei were 6.68 x 10¬27 kg and 3.29 x 10-25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a) If a helium nucleus scatters to an angle of 148° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 4Нe speed m/s 197 Au velocity m/s 197 Au direction ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus?

8. DETAILS OSCOLPHYS2016 8.6.P.049. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Ernest Rutherford (the first New Zealander to be awarded the Nobel Prize in Chemistry) demonstrated that nuclei were very small and dense by scattering helium-4 nuclei (*He) from gold-197 nuclei (197Au). The energy of the incoming helium nucleus was 7.08 × 10¬13 j, and the masses of the helium and gold nuclei were 6.68 x 10¬27 kg and 3.29 x 10-25 kg, respectively (note that their mass ratio is 4 to 197). (Assume that the helium nucleus travels in the +x direction before the collision.) (a) If a helium nucleus scatters to an angle of 148° during an elastic collision with a gold nucleus, calculate the helium nucleus' final speed (in m/s) and the final velocity (magnitude in m/s and direction counterclockwise from the +x-axis) of the gold nucleus. 4Нe speed m/s 197 Au velocity m/s 197 Au direction ° counterclockwise from the +x-axis (b) What is the final kinetic energy (in J) of the helium nucleus?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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17
The radioactive isotope Gold -198 has a half of 64.80hours. A sample containing this isotope has an initial activity of 40.0uCi. Calculate the number of nuclei that will decay in the time interval from 10 hours to 12 hours.
As a staff scientist at a nuclear power plant, it is your job to understand radioactive substances used by your co-workers. In a particular radioactive sample, you found that the number of nuclei decreased to one-sixth the original number of nuclei over an 18 d period. Determine the half-life of the sample (in days).
The nuclear radius of a fictitious element is 3.145 fm. The number of protons and the number of neutrons in this nucleus are (select all that apply): 09 and 9 O8 and 10 O9 and 8 O8 and 8 9 and 10 O 10 and 8 O8 and 9 O 10 and 9
238 UJess stable than carbon-12 Why is the uranium-238 nucleus nucleus (12 C? Give an explanation by referring to the repulsive coulomb force and the binding energy per nucleon. 92 (Given mass of neutron, m,=1.00867 u ; mass of proton, m,=1.00782 u ; speed of light in vacuum, c=3.00x 10° m st; atomic mass of carbon-12, M=12.00000 u and atomic mass of uranium-238, M=238.05079 u )
What is the activity (in particles/s) of a sample of Carbon-14 that contains 9.070E+21 nuclei?
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58. . Radiation treatment of prostate cancer. In many cases, BIO prostate cancer is treated by implanting 60 to 100 small seeds of radioactive material into the tumor. The energy released from the decays kills the tumor. One isotope that is used (there are others) is palladium (10°Pd), with a half-life of 17 days. If a typical grain contains 0.250 g of 10°Pd, (a) what is its initial activity rate in Bq, and (b) what is the rate 68 days later?
The uranium isotope 238^U undergoes spontaneous alpha decay, becoming 234^Th. Calculate the recoil speed of the Th nuclei. a) 2.4x10^5 m/s b)1.5x10^5 m/s c)4.7x10^6 m/s d)1.0x10^3 m/s e)2.0x10^6 m/s
A nucleus with even-even nucleons in the ground state is subjected to alpha decay. Calculate the allowed values of total angular momentum ??, parity ?? and hence allowed states of ???? of the daughter nucleus
2. The decay constant, Ai, for the a transition of 243 Am95 () to the various levels of 239NP93 may be estimated from In 1= 48.4 + 2.97 R½ Z¼ - 3.97 Z/T« - 660 o = 0.002la(la+1) where Z is the atomic number of the daughter nucleus, R is the radius of the daughter nucleus in femtometers and approximated by R=1.2XA3, Ta is the kinetic energy of the a - particle in MeV and la is the angular momentum carried by the a- particle. a. Calculate the branching ratio of the 3 transitions. b. Estimate the mean lifetime of the 243Amº5 5- c. The transition from the 239N%93 () to the state proceeds either directly by gamma emission or by gamma emission to the state first or by internal conversion of K-electron, with a conversion coefficient of 2. Use Weisskopf estimates to calculate the lifetime of the 9- excited state.