Prove using the uncertainty principle that an electron cannot exist inside a nucleus.
Q: The radius of a typical nucleus is about 5.0x10-15 m. Assume this to be the uncertainty in the…
A:
Q: In a Rutherford scattering experiment, an ?-particle (charge = +2e) heads directly toward a silver…
A: Given data The initial kinetic energy of the α - particle is KEi = 4.6 MeV. The charge on α -…
Q: What does the number of lines on the emission spectrum tell us about the electron decays for the…
A: Introduction: The atomic emission spectrum is the pattern of lines formed when it passes through the…
Q: In Rutherford’s scattering experiments, alpha particles acharge = +2ef were fired at a gold foil.…
A: As given in the question initially the Alpha particle have some kinetic energy which is slowly…
Q: The nucleus is positive and electrons are negative. Why is there space between them, can't they just…
A: The nucleus is positive and electrons are negative. Why is there space between them, can't they just…
Q: Rutherford found the size of the nucleus to be about 10-15 m. This implied a huge density. What…
A: Given Data:Diameter of gold atom To Determine:The density of gold atom.
Q: a) Calculate the uncertainty in momentum for a proton confined to a nucleus of radius 6.0fm b)…
A:
Q: side. (a) If the size of an atom were about 10-¹⁰ m, what would be the speed of a proton? (b) What…
A:
Q: Needs Complete solution with 100 % accuracy don't use chat gpt or ai plz plz plz.
A: Step 1: a). Radius of the sphere r=r0A31Where,A = number of nucleonsr0 = 1.25 fm = 1.25 ×10−15 m…
Q: Rutherford found the size of the nucleus to be about 10-15 m. This implied a huge density. What…
A:
Q: See the plot below (unit length is cm), the range of this electron in the matter is cm. B (-5, 7) 19…
A: To find the pathlength, we will use distance formula:From the given figure, we have:distance…
Q: 2. A golf cart battery holds about 1 kWh of energy. At an open air concert, the band uses the golf…
A: As per the guidelines we can solve only first question among multiple questions.Given, the energy of…
Q: From far away a proton is fired directly toward the center of the nucleus of a mercury atom. Mercury…
A: The mercury element number is 80The diameter of the nucleus is The speed of the proton is The mass…
Q: In positron-emission tomography (PET) used in medical research and diagnosis, compounds containing…
A: Here is given that the binding energy of positronium is very small compare to the rest mass of…
Q: Electrons in higher orbits (farther from the nucleus) have than orbits closer to the nucleus. O the…
A:
Q: How does the wave model of electrons orbiting the nucleus account for the fact that the electrons…
A: Wave model of electron: Based on de Broglie's idea that particles could exhibit nature of wave,…
Q: Rutherford found the size of the nucleus to be about 10-15 m. This implied a huge density. What…
A: Diameter of gold atom, d=10-15 m We have to determine the density of gold.
Q: The J = 0 J = 1 rotational absorption in C12016 and at 0.00272 m in CxO¹6. Find
A:
Q: Given the following data, calculate the densities of a lithium-7 nucleus and a lithium-7 atom.…
A: The density of an object is given by the equation ρ=mVm is the massV is the volume A lithium nucleus…
Q: Because electron is lighter that the nuclei by a factor of 2000 and there are different timescales…
A: Answer: The given statement is True.
Q: 30 DENAKER What three properties of the nucleus can be deduced from the Rutherford scattering…
A: The objective of the question is to identify and explain the three properties of the atomic nucleus…
Q: What must the width of the box be for the ground-level energy to be 5.0 MeV, a typical value for the…
A: Energy Eigenvalue: For the particle of the mass m, bound to the nucleus in a box of width L, its…
Step by step
Solved in 3 steps
- Question 7 The wave function of an electron in a hydrogen - like atom is (r) = Cea where a = ao/Z with a being the Bohr radius and Z the atomic number. The nuclear charge is Ze and the atom contains only one electron. a) Compute the normalization constant. b) If the nuclear numbers are A = 173 and Z= 70, what is the probability that the electron is in the nucleus of radius R? Assume R = 1.2x4¹/³ fm 0.Explain the structure of the atom in general.By using the principle of accuracy, he proved the impossibility of the electron being inside the nucleus, given that the radius of the nucleus is 1 x 10-14m.
- In a Rutherford scattering experiment, an a-particle (charge = +2e) heads directly toward a gold nucleus (charge = +79e). The α-particle had a kinetic energy of 5.0 MeV when very far (r→ ∞) from the nucleus. Assuming the gold nucleus to be fixed in space, determine the distance of closest approach. Hint: Use conservation of energy with PE =kq1q2/r.Which of the following represents a good estimate of the energy of a Kα X-Ray for Technitum, Z=43? a) 430 eV b) 438 eV c) 17,993 eV d) 18,859 eV e) None of the other responses are correctK:43) Assuming only maximum energy transfers occur for 12C ions with electrons in a material, determine the number of collisions required for a 100 MeV 12C ion to go to energy below 10 MeV.
- Calculate the electrical potential energy of the nucleus if electrons could exist in it.What energy a particle would be needed to just reach the surface of an Al nucleus if its radius is 4 fm?Two electrons in the nucleus of a 238U atom are separated by a distance of 8 fm. What is the potential energy of the arrangement? A) 179.77 keVB) 2.25×10 43 eVC) 4.61×10 −33 keVD) 3.596 eV
- An atomic nucleus is estimated to be 10-15 m in radius(a) Estimate the minimum kinetic energy of the proton inside nucleus.(b) Estimate the lower limit on energy an electron must have if it were to be part of nucleus.https://www.compadre.org/PQP/quantum-need/prob4_5.cfm *Link to HW problemWhen a bound electron moves to location further from the nucleus, which of the following are true? energy of electron increases because it takes energy input to separate positive and negative charges, and there is a decrease in the electrostatic potential energy of the electron energy of electron increases because it takes energy input to separate positive and negative charges, and there is an increase in the electrostatic potential energy of the electron energy of electron decreases because energy is released as positive and negative charges are separated, and there is a decrease in electrostatic potential energy of electron since it is now further away