3- Write the energy expression of the diatomic vibratory-rotator. Then, ignoring D, write the expression for the transition v=0→v=1 and draw the graph of the transitions according to the selection rules.
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- 2 Consider a particle of mass m moving in the region x > 0 under the influence of a potential U (x) = Uo а xc + х а where Uo and a are positive constants. Sketch the potential, find the equilibrium point, and determine its sta- (a) bility. Find the frequency of small oscillations about the stable equilibrium (b) point.What is the definition of the Nernst equilibrium potential?what if a damped harmonic oscillator has a damping constant of beta= 2w, is this overdamping, critical damping, or underdamping? please explain why?
- A)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0 the oscillating mass is at x=−A Express your answer in terms of the appropriate constants. If there is more than one answer, separate them by a comma. b)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0 the oscillating mass is at x=0 c)Determine the phase constant ϕ (−π≤ϕ≤π) in x=Acos(ωt+ϕ) if, at t=0 the oscillating mass is at x=A9:50 1 ll LTE 4 A on.masteringphysics.com C AQno 1:- down the Retarded Scalar and vector potentiols b) Show that retarded scalar potentials satis fies the inhomageneous equatron wave
- 9. Solve the coupled oscillator system such that m₁ = m² = 1, k₁ = k3 = 9,k₂ = 8. Assume the first mass is pushed 2 units to the right of equilibrium and the 2nd 2 units to the left of equilibrium, with zero initial velocities. Describe the behavior of the motions of the masses at each of the nodes.O Graph 3. Set the frequency to 25% as shown by the blue arrow and the amplitude to 50%, as shown by the red arrow. Then let the O Normal O Slow simulation run for some cycles. 4. Then increase the frequency through 50% and 75%. Let them run for several cycles so you can observe the patterns. Question: What do you notice happens? Please describe your observations at least two sentences.A Simple Pendulum has a length of 1-15m) 13-0 and a mass of 1.22 kg. The maximum horizontal displacement of the Pendulum bob from equilibrium is 300cm. Calculate the quantum number n for the Pendulum
- 9. Solve the coupled oscillator system such that m₁ = m² = 1, k₁ = k3 = 9,k₂ = 8. Assume the first mass is pushed 2 units to the right of equilibrium and the 2nd 2 units to the left of equilibrium, with zero initial velocities. Describe the behavior of the motions of the masses at each of the nodes.The chemical bond between the two atoms in a diatomic oxygen molecule acts very much like a spring, such that each oxygen atom behaves like a simple harmonic oscillator. If we observe the oxygen atoms vibrating at a frequency of 3.0 x 10^13 Hz, what is the spring constant of the O—O bond? The mass of an oxygen atom is 2.66 x^-26 kg.Suppose that you have a potential V (x) x2 + 6x – 8. Using a Taylor Series around Xo = 3, approximate the potential as a harmonic oscillator. O + (= – 3)? 7-2 (포-3)2 | (x – 3)? ||