Problem 9: Rutherford Scattering A gold foil (5.9×1022 atoms/cm³) of "hair" thickness 80 µm is used in a Rutherford experiment to scatter a particles with energy 5 MeV. Find the fraction of particles scattered at angles 0 > 30°.

Q: What is the lowest energy level, in electronvolts (eV), of an electron in a one-dimensional atom…

A: The energy level of a one dimensional box is the lowest energy is for n=1.

Q: What is the energy of H2 trapped in a zeolite, which can be modeled by a particle in a cube given nX…

A: For a particle placed inside a 3D box with sides Lx,Ly,Ly  and the quantum numbers nx,ny, nz the…

Q: When an alpha particle collides elastically with a nucleus, the nucleus recoils. Suppose a 6.00 MeV…

A: Conservation of linear momentum: The total linear momentum of an isolated system remains…

Q: To excite an electron in a one-dimensional box from its first excited state to its third excited…

A: Energy required, ∆E=17eV=17×1.6×10-19J

Q: In an experiment done by scattering 5.5-MeV a particles from a thin gold foil, students find that…

A: Solution: The number of the scattered alpha particles of kinetic energy E has the following…

Q: While reproducing the Rutherford scattering experiment in an advanced laboratory class, a student…

A: Given Data: The thickness of the gold foil is t=28.8×10−9mThe energy of the alpha particle is…

Q: Exercises 1. prove that P = ho x C' , 2. If +² = A 2¹kx find the normalizing Constant. an Ê = ik at…

A: Prove that If , find the normalizing constant.Determine the wavelength associated with an electron…

Q: What is the lowest energy level, in electronvolts (eV), of an electron in a one-dimensional atom…

A: **As per our company guidelines we are supposed to solve only one question (if there are multiple…

Q: Using the Thomson model, estimate the average scatter- ing angle when alpha particles (z = 2) with…

A: As per Thomson's model of the atom, an atom is a positive sphere with electrons embedded in it.…

Q: Electrons emerge from an electron gun with a speed of 2.0 × 106 m/s and then pass through a pair of…

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Q: Assume that an atomic nucleus can be thought of as a three-dimensional box with a width of 2 x…

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Q: The Van der Waals interaction energy between two spherical nanoparticles of diameters D₁ and D2, a…

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Q: normalise the ground state of the quantum harmonic oscillator that you found in by calculating the…

A: The objective of the question is to find the normalization constant 'C' for the ground state of a…

Q: Imagine that we have a box that emits electrons in a definite but unknown spin state |y). If we send…

A: This can be solved using concepts of probability in quantum mechanics

Q: In an alpha particle (42He) scattering experiment, using a thin gold (19779Au) foil, the initial…

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Q: The wave function of an electron in a hydrogen - like atom is (r) = Cea where a = ao/Z with a being…

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Q: An electron beam of momentum 200 MeV/c is elasti an angle of 14° by a nucleus. It is observed that…

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Q: What is the length of a box in which the minimum energy of an electron is 1.5 x 10-18 J?

A: The energy of a particle in the box is given by, En=n2h28mL2

Q: 2. Protons with energy 1.0MeV scatter off a fixed spherical potential whose range is known to be a =…

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Q: A positron is absorbed by a nucleus of tritium to form a Het ion. If the electron in the tritium is…

A: To calculate the probability of the resulting He⁺ ion being in its ground state after a positron is…