How much kinetic energy must an alpha particle have before its distance of closest approach to a gold nucleus is equal to the nuclear radius (7.0 x 10-15 m)?
Q: A nucleus of radius 3.26 fm contains 10 neutrons. Identify the element by name (not symbol). Use…
A: Given : Radius of nucleus (R) = 3.26 fm No. of neutrons (N) = 10
Q: c) For a radio-nuclide, a number No of atoms at time t = 0 decays as N(t) = No ext, where \ is the…
A: The objective of the question is to derive the relationship between the half-life and the time…
Q: The unified atomic mass unit, denoted u, is defined to be 1 u = 1.6605 × 10-27 kg. It can be used as…
A: Given: The unified atomic mass unit is m=1 u=1.6605 × 10-27 kg, The number of nucleons is n=19.
Q: The isotope cobalt-60 has a nuclear mass of 59.933820 u. Calculate the mass defect of cobalt-60…
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Q: In the fall of 2002, a group of scientists at Los Alamos National Laboratory determined that the…
A: Given data The critical mass of the neptunium-237 is m = 60 kg The density of the element is ρ =…
Q: Compute the approximate nuclear radius of sodium (A=23)
A: The nucleus of an atom does not have any sharply defined boundaries. The radius of a nucleus is…
Q: Determine the number of neutrons in a bromine nucleus, which has a radius of approximately 5.36 ✕…
A: Given Data: The radius of a bromine nucleus is, R=5.36×10-15 m The equation for the Nuclear…
Q: he isotope of Curium 242Cm has
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Q: An electron is emitted from a middle-mass nuclide (A = 150, say) with a kinetic energy of 1.0 MeV.…
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Q: Calculate the nucelar radius of uranium-238.
A: The destiny of a nucleus does not depend on the mass number A. Very light nuclei and heavy nuclei…
Q: Calculate the nuclear radius of cobalt-27.
A: Nuclear density is almost similar for all elements. Thus the number of protons and neutrons inside a…
Q: The nucleus of a particular isotope of beryllium contains 4 protons and 5 neutrons. Which of the…
A: Given in question - The beryllium atom contains 4 protons and 5 neutrons. To find - Which one of…
Q: A living specimen in equilibrium with the atmosphere contains one atom of 14C (half-life = 5730 yr)…
A: No. of atoms of any sample remaining after a time t is given as: N(t)=N0e-tλ The solution of this…
Q: Alpha particles of kinetic energy K are scattered either from a gold foil or a silver foil of…
A: Ratio of the number of particles scattered by the gold foil to the same number for the silver foil:…
Q: an alpha particle scattering experiment, it is determined that the ratio of the cross-sectional area…
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Q: A sample of a radioactive isotope with a decay constant of λ = 4.27 × 10-3 s-1. A sample of the…
A: we know activity R =λN where λ = decay constant N = number of particle given N = 2.68 × 1015…
Q: What would be the expected radius of a nucleus having 82 protons and 125 neutrons? O7.1 fm O 5.2 fm…
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Q: Plutonium-239, recovered from dismantled atomic weapons, undergoes simultaneous alpha and gamma…
A: mass of plutonium waste = 80 kg half life of plutonium = 24000 years energy of emitted photon =…
Q: Calculate the radius of the Uranium nucleus.
A: The radius of a nucleus depends on the mass number or the total number of protons and neutrons.…
Q: Find the activity of a sample containing 4.73 x 1014 iodine-131 nuclei (T1/2 = 8.0 days).
A: Sample size, N=4.73 x 1014 nuclei (of iodine-131 atom) Half life, T1/2 = 8 days =8x24 hours =8x24x60…
Q: Radium-226, 226Ra, undergoes an alpha decay. The current sample of Radium-226 has an initial…
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Q: What is the likely mass number of a spherical nucleus with a radius of 3.6 fm as measured by…
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Q: nucleus of radius 4.62 fm contains 26 protons. How many neutrons does the nucleus contain?
A: Number of neutron = mass number -number of proton
Q: half-life of the isotope of iodine I-131 is 8 days. The activity of the sample at the moment is…
A: 1 Ci = 3.7 × 1010 decay/s Half life T1/2 = 8 days = 8 × 24 × 60 × 60 s = 6.912 × 105 s Rate of…
Q: For an alpha particle at the energy of 447.6 MeV, what is the energy deposited by an alpha particle…
A: Kinetic Energy K.E.=447.6 MeVd= 10
Q: Don't Use Chat GPT Will Upvote
A: Finding the Q value of the reaction:We know, kinetic energy of an alpha particle decaying from a…
Q: Carbon 14 is a pure beta emitter that decays to 14N. If the exact atomic masses of the parent and…
A: In beta decay, a neutron in an atom's nucleus turns into a proton, an electron (the beta particle)…
Q: A living specimen in equilibrium with the atmosphere contains one atom of 14C (half-life = 5 730 yr)…
A: Determine the number of carbon molecules per mole. Determine the initial number of atoms of C-14.
Q: Alpha particles (a) were shot toward a gold foil. Gold has an atomic number of 79. An a had initial…
A: The initial kinetic energy of the alpha particle is K = 6.1 MeV = (6.1x106)e JThe charge on the…
Q: The isotope of Curium 242Cm has a half-life of 160 days and emits alpha particles with an energy…
A: Solution:-
Q: A patient swallows a radiopharmaceutical tagged with phosphorus-32 32 15 P, a ß- emitter with a…
A: (a) To find the number of electrons emitted in a 9.5 day period, we need to calculate the decay…
Q: Determine the number of neutrons in a bromine nucleus, which has a radius of approximately 5.32 ✕…
A: The radius of the bromine nucleus is, r=5.32×10-15 m The mean radius of the nucleus can be given as,…
Q: Find the activity of a sample containing 7.64 x 1014 iodine-131 nuclei (T1/2 = 8.0 days).
A: Given: Number of iodine 131 nuclei (N) = 7.64 x 1014 Half life time (t1/2) = 8 days…
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- Calculate the kinetic energy of alpha particle that comes from Th28990. By using this table2866Ni (mass = 65.929 1 u) undergoes beta decay to 2966Cu (mass = 65.928 9 u). (a) Write the complete decay formula for this process. (b) Find the maximum kinetic energy of the emerging electrons.Question 4. Plutonium-239, recovered from dismantled atomic weapons, undergoes simultaneous alpha and gamma decay. Sensors on the outside of containers used to store plutonium-239 can indicate how much radioactive material is contained by monitoring the gamma rays emitted by the material. A particular container holds 80.0 kg of plutonium waste. The half-life of plutonium-239 is 2.4 x 10¹ years. When a plutonium-239 atom decays, it emits a gamma photon that has 1.8 x 108 eV of energy and an alpha particle that has a characteristic speed of 1.58 x 107 m/s. Which of the following diagrams shows the orientation of the momenta of the alpha particle and the gamma photon that must result in the maximum impulse of the plutonium-239 nucleus? A. C. 7 Y B. D. a** Y phippi quo edito
- Suppose a cube has a mass of 1.4 kg and the density of nuclear matter (which you can assume is 2.3 × 1017 kg/m3).Randomized Variablesm = 1.4 kg Find the length of a side of such a cube in μm.Approximately what is value of A for a nucleus whose radius is 4.7x10^-15 mAt the end of its life, a star with a mass of two times the Sun’s mass is expected to collapse, combining its protons and electrons to form a neutron star. Such a star could be thought of as a gigantic atomic nucleus.If a star of mass 2 × 1.99 × 1030 kg collapsed into neutrons (mn = 1.67 × 10−27 kg), what would its radius be? Assume r = r0 A1/3.
- The ratio rX/rT of the radius of an unknown nucleus ZAX to the radius of a tritium nucleus 13T is rXrT=1.10. Both nuclei contain the same number of neutrons. Identify the unknown nucleus in the form ZAX. Use the periodic table on the inside of the back cover as needed.Estimate the A value and identify the nucleus if its radius is given to be 3.46 fmIodine-131 is a beta-emitter, which decay by the first-order rate law with a half-life of 8.0 days. What is the activity in cps (counts per second) of 25.0 ng (2.5 x 10–8 g) sample of 131I (atomic mass = 131 g/mol)? (Avogadro’s #, NA = 6.02 x 1023/mol) (A) 1.2 x 108 cps (B) 1.5 x 1010 cps (C) 1.0 x 1011 cps (D) 4.1 x 1011 cps
- Use the uncertainty principle to estimate the minimum speed and kinetic energy of an alpha particle confined to the interior of a heavy nucleus.In a student lab experiment, 5.3 MeV alpha particles from the decay of 210Po are directed at a piece of thin platinum foil. If an alpha particle is directed straight toward the nucleus of a platinum atom, what is the distance of closest approach? How does this compare to the approximately 7 fm radius of the nucleus?The mass defect for potassium-40 is: -___x10-28kg. (Give your answer with 3 sig digs and do not include units) Use mass of proton = 1.007276 u mass of neutron = 1.008665 u actual mass = 39.9687 u