What is the likely mass number of a spherical nucleus with a radius of 3.6 fm as measured by electron-scattering methods?

Q: Q# 4 (a) A beam of 8.3 MeV alpha particles is directed at an aluminum foil. It is found that the…

A: Given data: Kinetic energy K.E =8.3MeV

Q: Suppose the alpha particle in a Rutherford scattering experiment is replaced with a proton of the…

A: At distance of closest approach, kinetic energy equals potential energy.

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: Consider the 6429Cu nucleus. Find approximate values for the following. (a) radius fm (b) volume m3…

A: The nuclear radius can be approximated by the formula- R=r0(A)13, where r0=1.25 fm           A is…

Q: Table 32.1 indicates that 7.50 mCi of 99mTc is used in a brain scan. What is the mass of technetium?

A: The activity of the sample is, A=7.50 mCi3.7×107 Bq1 mCi=2.78×108 Bq Find the number of particles by…

Q: Iridium-192, a beta emitter, is used in medicine to treat certain cancers. The 192Ir is used as a…

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Q: Radius of an atomic nucleus is of the order 2.5 fm. What is the minimum energy that an electron…

A: The radius of an atomic nucleus is of the order of 2.5 fm. That is, Δx=2.5 fm=2.5×10-15 m The…

Q: Answer with true or false of the following: i The mumber of protons in a nucleus is called the…

A: Please note : As per answering guidelines I can answer the first three questions in a set of…

Q: (a) Assuming it is nonrelativistic, calculate the velocity of an electron with a 0.100-fm wavelength…

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Q: What fraction of 5-MeV alpha particles will be scattered through an angle greater than 8° from a…

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Q: Consider the nucleus. Find approximate values for its (a) radius, (b) volume, and (c) density

A: The expression for the nuclear radii,

Q: The difference in the coulomb energy between the mirror nuclei 49  24 Cr and 49 25 Mn is 6 MeV.…

A: The difference in Coulomb energies for nuclei with Z+1 and Z protons is given as,

Q: The difference in the coulomb energy between the mirror nuclei (_24^49)Cr and (_25^49)Mn is 6 MeV.…

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Q: A radiation oncologist treats cancer with two species of radioactive nuclei, X and Y. The initial…

A: As per radioactive decay law, the present number of radioactive nuclei of the used species can be…

Q: Consider the 1² N nucleus. Find approximate values for its (a) radius, (b) volume, and (c) density.…

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Q: Consider the 2965Cu nucleus. Find approximate values for its (a) radius, (b) volume, and (c)…

A: (a) Radius is,

Q: Assume that a gold nucleus has radius of the 6.98 fm and the α-Particle has a radius of 1.8fm, what…

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Q: Find the radius of a nucleus of  232 90 Th  and  4 2 He. (a)     232 90…

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Q: Find the radius of an iron-56 nucleus. (b) Find its approximate density in kg / m3 , approximating…

A: For iron-56,

Q: use Heisenberg's uncertainity principle to estimate the kinetic energy (in MeV) of a nucleon bound…

A: Given data: Radius of nucleus is, r=10-15 m.

Q: By using the principle of accuracy, he proved the impossibility of the electron being inside the…

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Q: aluminum foil. At what alpha-particle kinetic energy would you expect the Rutherford formula to fail…

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Q: Because a nucleon is confined to a nucleus, we can take the uncertainty in its position to be…

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Q: Estimate the approximately value of the temperature necessary to overcome the Coulomb repulsion…

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Q: What is the nuclear radius of 40Ca? What energy electrons and protons are required to probe the size…

A: The relation between the radius of the nuclei R and its mass number A is:R=R0A13………(1)where,R0 is a…

Q: It is possible on the basis of shell model that nucleus with Z = 110 and A = 294 may be…

A: The empirical formula for the nuclear radius is                                          R = R0…

Q: Estimate the density of a nucleus by calculating the density of a proton, taking it to be a sphere…

A: Given :  diameter of proton , d = 1.2 fm = 1.2 × 10-15 m              Actual density of nucleus, ρN…

Q: Why is the density of nuclear excited states larger for higher excitation energies?

A: Density of any state is the number of quantize state divided by unit energy. If the density is high…

Q: In a high-energy electron scattering experiment on the nucleus, a scientist has scientist has…

A: Answer : In the nucleus of each atom of uranium-235 (U-235) are 92 protons and 143 neutrons, for a…

Q: What is the radius of an α particle?

A: Radius of an alpha particle is approximately 1.8×10^-15 Or 1.8 fermi.

Q: Using the principle of precision, prove the impossibility of an electron inside the nucleus, noting…

A: Solution

Q: Estimate the lowest possible energy of a neutroncontained in a typical nucleus of radius 1.2 x 10-15…

A: According to Heisenberg Uncertainty principle:  ∆x∆p ~h2πWhere, ∆x is uncertainity in position and…

Q: A beam of particles strikes a wall containing 2 × 1029 nuclei per m3 . Each nucleus behaves like a…

A: The thickness of a wall that exactly half the particles will penetrate withoutscattering is 88.42 mm…

Q: Integrated ConceptsEstimate the density of a nucleus by calculating the density of a proton, taking…

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Rutherford's scattering experiment

Rutherford’s scattering experiment is also known as the gold foil experiment. This experiment disproved the plum pudding model of J.J. Thomson. In a gold foil experiment, high-energy alpha particles are made to strike a thin gold foil. The scattered alpha particles are detected using a detector. This experiment showed that the positive charge of the atom is at the center. Most of the atom’s mass is also confined to a small volume at the center. This region is known as the nucleus of the atom.