27.The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U (x)=-a/x¹² -b/x6 where x is the distance between the atoms. (a) At what distance of seperation does the potential energy have a local minimum (not at x = ¥)?(b) What is the force on an atom at this separation? (c) How does the force vary with the separation distance? Solution a. -2a b 1/6 ; b. 0; c. ~x6

27.The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U (x)=-a/x¹² -b/x6 where x is the distance between the atoms. (a) At what distance of seperation does the potential energy have a local minimum (not at x = ¥)?(b) What is the force on an atom at this separation? (c) How does the force vary with the separation distance? Solution a. -2a b 1/6 ; b. 0; c. ~x6

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter7: Electric Potential

Section: Chapter Questions

Problem 75P: The probability of fusion occurring is greatly enhanced when appropriate nuclei are brought close...

See similar textbooks

Similar questions

What is the normal range for the value of phase constants? For example, would a value of 67.12 rad be crazy high... or a value of 8.5 pi rad?
The net potential energy E_N between two adjacent ions is sometimes represented by the expression: E_N = -C/r + D times exp (-r/rho) in which r is the interionic separation and C, d, and rho are constants whose values depend on the specific material. Derive an expression for the bonding energy E_0 in terms of the equilibrium interionic separation r_0 and the constants D and rho. Derive another expression for E_0 in terms of r_0, C and rho.
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r)=U0[(r0/r)12−(r0/r)4] where r0 = 0.65 nm and U0 = 7.4 eV.Note: 1 eV = 1.6×10−19 J.Some helpful units:[Force] = eV/nm[Energy] = eV[distance] = nm Here is what I am having trouble with: You can choose where the potential energy equals zero anywhere you want (you can add or subtract any constant to it). For this function, U(∞) = 0. This is very common for electromagnetic problems like you will see in Physics 2. If the potential energy function were defined as U(r)=U0[(r0/r)12−(r0/r)4]+U1 where U1 = 4.5 eV, reanswer all of the previous questions using this new potential energy function. req= ? Fr(req+r1)= ? K(req)= ? (NOTE: these are all part of the same question) I got .957026 nm for req, and -1.4348 eV/nm for Fr(req+r1), and I couldnt get an answer for K(req). My answers are wrong. Where am I not understanding?
hello what sort of calculator did you use? i am using ti 84 and ti 89 still not getting the answer even when i use you numbers. i am a bit confused about that.
Figure E21.22 shows the bonding of cytosine and guanine. The O—H and H—N distances are each 0.110 nm. In this case, assume that the bonding is due only to the forces along the O—H—O, N—H—N, and O—H—N combinations, and assume also that these three combinations are parallel to each other. Calculate thenet force that cytosine exerts on guanine due to the preceding three combinations. Is this force attractive or repulsive? Help please. I have been stuck for hours now
Determine the breakdown voltage using Rogowski electrodes with spacing of 2.5 mm and 25 mm and at standard atmospheric condition. Determine the breakdown voltage when P = 760 mm Hg and t = 40 °C.
Consider two immiscible liquids such as water and oil. If a spherical oil molecule of radius r is taken out of the oil phase and placed in the water phase, the unfavorable energy of this transfer is proportional to the area of the solute (oil) molecule newly exposed to the solvent (water) multiplied by the interfacial energy, i, of the oil-water interface. The interfacial energy of the bulk cyclohexane-water interface is i = 50 mJ m-2, and the radius of a cyclohexane molecule is 0.28 nm. Using Boltzmann distribution, estimate the solubility of cyclohexane in water at 25 C in units of mol L-1.The concentration of water in water phase is 55.5 mol L-1.
Check Your Understanding Verify that /V and e0/d have the same physical units.
Show that the moment of inertia of a diatomic molecule is I=r02 , where is the reduced mass, and r0 is the distance between the masses.
Show that for V less than zero, InetI0.
Why do we need to be careful about work done on the system versus work done by the system in calculations?
A close analogy exists between the flow of energy by heat because of a temperature difference (see Section 19.6) and the flow of electric charge because of a potential difference. In a metal, energy dQ and electrical charge dq are both transported by free electrons. Consequently, a good electrical conductor is usually a good thermal conductor as well. Consider a thin conducting slab of thickness dx, area A, and electrical conductivity , with a potential difference dV between opposite faces. (a) Show that the current I = dq/dt is given by the equation on the left: ChargeconductionThermalconductiondqdt=A|dVdx|dQdt=kA|dTdx| In the analogous thermal conduction equation on the right (Eq. 19.17), the rate dQ/dt of energy flow by heat (in SI units of joules per second) is due to a temperature gradient dT/dx in a material of thermal conductivity k. (b) State analogous rules relating the direction of the electric current to the change in potential and relating the direction of energy flow to the change in temperature.