I need help solving the equilibrium distance, force, and kinetic energy. One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, isU(r) = Uo[()¹5 (10)6]where ro = 0.6 nm and U₁ = 7.7 eV.Note: 1 eV = 1.6 × 10-¹⁹ J.Some helpful units:[Force] = eV/nm[Energy] = eV[distance] = nmEquilibrium DistanceWhat is the distance between the atoms when the molecule is in stable equilibrium?Click here for a hintT'eq =Force!If the distance between the atoms increases from equilibrium by r₁ = 0.35 nm, then what is the force from one atom on the other associated with this potential energy?(Enter your answer as postive if they repel each other, and negative if they attract.)Fr(req+r₁) =Kinetic EnergyThe atoms are oscillating back and forth. The maximum separation of the atoms is r2 = 2 nm. What is the kinetic energy of the atoms when they are separated by theequilibrium distance?Click here for a hintK(req) =

One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U (r) = Uo[(2) ¹5 (10)6] where ro = 0.6 nm and U = 7.7 eV. Note: 1 eV 1.6 x 10-19 J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq Force

One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U (r) = Uo[(2) ¹5 (10)6] where ro = 0.6 nm and U = 7.7 eV. Note: 1 eV 1.6 x 10-19 J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq Force

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter29: Introduction To Quantum Physics

Section: Chapter Questions

Problem 62PE: (a) If the position of an electron in a membrane is measured to an accuracy of 1.00 m, what is the...

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One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = Uo[(¹) ¹2 – ( )²] where ro = 0.8 nm and U₁ = 6.1 eV. Note: 1 eV = 1.6 × 10-19 J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq Hint: Hint: Hint: Hint: Hint: Hint: Force If the distance between the atoms increases from equilibrium by r₁ = 0.35 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract.) Fr(req+r₁) Hint: Hint: 0.89105934nm Kinetic Energy Hint: The atoms are oscillating back and forth. The maximum separation of the atoms is r₂ = 2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? Click here for a hint K(req) Hint: Hint: = -1.288eV/nm 3.99eV
7. An alpha particle (two protons, two neutrons) moves into a stationary gold atom (79 protons, 118 neutrons), passing through the electron region that surrounds the gold nucleus like a shell and headed directly toward the nucleus (Fig. below). The alpha particle slows until it momentarily stops when its center is at radial distance r =9.23 fm from the nuclear center. Then it moves back along its incoming path. What was the kinetic energy Ki of the alpha particle when it was initially far away? Assume that the only force acting between the alpha particle and the gold nucleus is the (electrostatic) Coulomb force and treat each as a single charged particle. Alpha particle Gold nucleus Lightshot Lightshot A ctivato Windc
W | File 70 Paste 14+1+13+1+12+|+11·10 ·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·1····1·1·20 Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View T Calibri (Body) 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ·2·1·1·····1·1·2·1·3·1·4·1·5·1· 6 · 1 · 7 · 1 · 8 · 1 ·9·1·10·1·11·1·12·1·13· |·14·1·15· |· · |·17· 1 · 18 · | I I I I I ATOMIC AND NUCLEAR PHYSICS PLEASE ANSWER ALL QUESTIONS The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d l(l 1) −2² [12 a (rªd) – (C,+¹) + V(r)]Re(k;r) = ERe(k;r). 2μ dr where Re(r) is the radial wave function, μ = 2, the reduced mass, V the interacting potential, my+m₂ E the total energy, and k the wave number, given by k = 2μE h² 2. Using Re(k,r) = u₂(k,r) kr show that the above Schrödigner equation reduces to l(l + 1)_24² ď² +…
Lall space Jall space 6. Self energy of a sphere of radius R and and uniform charge density with total charge Q is[Assume energy is given by U = where dt is elemental volume] 3 Q? Q r)² (4=r²dr) + /, o -)² (4#r² dr) = 1 R 1 Q 2 (True, False) = Lll space 2 €0 E²dr U = 4περτ2 5 4T€0 R 2 4περ R3
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The conversion between electron-volts and joules is 1 eV=1.60x10^-19 J . The work function for silver is 7.43 x 10^-19 . What is the work function for silver expressed in electron-volts?
Suppose a capacitor consists of two coaxial thin cylindrical conductors. The inner cylinder of radius ra has a charge of +Q, while the outer cylinder of radius rh has charge -Q. srb The electric field E at a radial distance r from the central axis is given by the function: E = ge/d0 + B/r + bo where alpha (a)., beta (8), ao and bo are constants. Find an expression for its capacitance. First, let us derive the potential difference Voh between the two conductors. The potential difference is related to the electric field by: Edr = - Edr Calculating the antiderivative or indefinite integral, Vab = (-aageao + B + bo By definition, the capacitance Cis related to the charge and potential difference by: C = Evaluating with the upper and lower limits of integration for Vab, then simplifying: C = Q/( (e""b/ao - eTala0) + ß In ) + bo (
Determine the distance between the electron and proton in an atom if the potential energy U of the electron is 13.8 ev (electronvolt, 1 eV = 1.6 × 10-19 J). Give your answer in Angstrom (1 A = 10-10 m). Answer: Choose... + Previous page
One description of the potential energy of a diatomic molecule is given by the Lennard–Jones potential, U = (A)/(r12) - (B)/(r6)where A and B are constants and r is the separation distance between the atoms. For the H2 molecule, take A = 0.124 x 10-120 eV ⋅ m12 and B = 1.488 x 10-60 eV ⋅ m6. Find (a) the separation distance r0 at which the energy of the molecule is a minimum and (b) the energy E required to break up theH2 molecule.
Determine the distance between the electron and proton in an atom if the potential energy U of the electron is 13.8 ev (electronvolt, 1 eV -19 1.6 x 10 J). Give your answer in Angstrom (1 A = 10"1º m). Answer: Choose... + Next page
To obtain the value of an unknown electrical charge, a group performed an experiment. From the graph of the electric potential (voltage) V in volts, as a function of the inverse distance (1/r) in m^-1, the group obtained an angular coefficient 6838 Nm^2/C by the linear equation of the best straight line. Knowing that V=(kq)/r, calculate the value of the electric charge, in nC (nanocoulomb), from the slope provided by the best line. Round the answer to a whole number. Use: k = 8.9876 x 10^9 N⋅m^2⋅C^−2
What is the energy required to transit 1 mol of electrons from n= 2 to infinity? (h= 6.63x10 34 J.s., c = 3x108 m/s, RH = 1.07x107 m1, hcRH = 2.18x1018 J) %3D