Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is 7Be -- beryllium-7. The daughter nucleus is 7Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e +"Be* → "Li + v The initial electron is bound in the atom, so the beryllium mass includes the electron. Infact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: "Be → "Li + v The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc² as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle. c = 300,000 km/s)

Electron capture is a variant on beta-radiation. The lightest nucleus to decay by electron capture is 7Be -- beryllium-7. The daughter nucleus is 7Li -- lithium-7. The electron is transformed into a massless particle (a neutrino): e +"Be* → "Li + v The initial electron is bound in the atom, so the beryllium mass includes the electron. Infact, since the electron starts bound in the atom, a more-accurate statement of the nuclear reaction is probably: "Be → "Li + v The masses are beryllium: 7.016929 u, and lithium: 7.016003 u, and refer to the neutral atom as a whole. (Use uc and uc² as your momentum and energy units -- but carry them along in your calculation.) The initial beryllium atom is stationary. Calculate the speed of the final lithium nucleus in km/s. (You will make life much easier for yourself if you recognize that practically all the energy released goes into the lighter particle. c = 300,000 km/s)

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)...

See similar textbooks

Similar questions

What minimum energy E(min) is needed to remove a neutron from K40 and so convert it to K39? The atomic masses of the two isotopes are 39.964000 and 38.963708 u, respectively. E(min) = ? eV
Identify the isotope notation for the isotope of cadmium that has 54 neutrons
Q3: The table shows two isotopes of potassium and two isotopes of calcium. Type of emission Mass of neutral atom / u Number of electrons Number of protons Number of neutrons Total mass/u Mass defect/ u Binding energy / J Mass of the electron = 0.000549 u Mass of the proton = 1.007276 u Mass of the neutron = 1.008665 u TI ***** LEG 39K Stable 38.96371 SE nda 42K ß decay a) Use data about potassium-42 to explain the concept of mass defect. 3000 41.9624 19 19 23 42.34797 0.38557 5.76 x 10-11 De RAP 39 Ca ßt decay 38.9707 440 **** ****** D 42 Ca stable 41.95863
A 14 Gram ovarian tumor is treated using a sodium phosphate in which the phosphorus atoms are the radioactive phosphorus 32 isotopes with half life of 14.3 days and which decays via beta emission with energy of 1.71Mev.Half of the sodium phosphate solution is absorbed by the tumor and deposits 9.0J of energy into it. The other half of the solution is dispersed through out the patients tissue and also depositing 9.0j energy into the 50kg of body tissue. I. What dose in (gray and rem) that the tumor receives. Ii. What is the dose in (mill gray and rem) that the tissue receives
A neutron in a star makes an elastic head-on collision with a carb on nucleus initially at rest. The mass of the carbon nucleus is 12 times the mass of the neutron mn = 1.7 ×10^−27kg. The initial kinetic energy of the neutron is 1.6 × 10^−13J. a) Show that the final speed of the carbon nucleus, Vc, is given by (see image) where vn is the initial speed of the neutron.
In a high-energy electron scattering experiment on the nucleus, a scientist has scientist has possibilities to use energies of 200, 2000 and 20000 MeV. Which energy should the scientist use? Do the calculations and give the necessary arguments to show why the scientist makes the right decision.
Nuclear Fission: 1. n+ 2U → ? + 3gSr + 2n 2. n+ 235U → 1I 137 + 33Y+ ?n
a.) Calculate the wavelength and energy of the photon emitted in the decay ni=4 to nf=3 for the Li+2 ion. Show calculation. b.) Provide a written explanation for why the value calculated above is different from the value for the same ni and nf values for hydrogen. c.) What is the frequency of energy needed to excite a hydrogen electron from n=1 to n=4? Show calculation.
A projectile alpha particle is headed directly toward a target aluminum nucleus. Both objects are assumed to be spheres. What energy is required of the alpha particle if it is to momentarily stop just as its “surface” touches the “surface” of the aluminum nucleus? Assume that the target nucleus remains stationary
A sample of Co (atomic mass= 59.933820u) undergoes ß decay emitting electrons with maximum kinetic energy 0.31 MeV. If the ground state mass of the Ni atom is 59.930788u, then calculate the excitation energy of the state to which the decay occurs.
A "mad" scientist attempts to take a sample of Mercury-199 and bombard it with neutrons. The reaction creates a proton and Gold-199. His joy is short-lived when in a few days the radioactive Gold-199 reverts back to Mercury-199 emitting a single particle. What is the emitted particle? 199 79 O O → 199 80Hg+? a beta (-) particle ß- a proton; H+ an alpha particle; a a neutron; nº
The indium isotope 115/49 I n captures an electron and becomes the cadmium isotope 115/48 C d, as shown in the nuclear reaction below. 115/49 I n + ? ⟶ 115/48 C d What kind of particle is emitted in this decay, as denoted by the question mark?