Answered: What is the minimum energy required to…

What is the minimum energy required to go from one vibrational state to the next higher vibrational state for a molecule whose vibrations are modeled by a harmonic oscillator?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter42: Molecules And Solids

Section: Chapter Questions

Problem 39AP

See similar textbooks

Related questions

Q: crosses a river of width 159 m in which the current has a uniform speed of .63 m/s. The pilot…

Q: 43. MSSM MMH What is the potential difference between the plates of a 3.3-F capacitor that stores…

A: Given Capacitance of the capacitor is C=3.3 F Power of the bulb is P=75 W Time is t=1 min=60 s We…

Q: Course Contents » ... » HW #3 The diagram below shows the initial velocity of an object. The…

Q: Draw what you expect for the electric field and electric potential lines for two arms, and for…

Q: Part A T 6.74 cm 90 ΑΣΦ 50.0 Not to scale 1.06 m- Use information from the figure to find the…

Q: Two speakers emit sound waves of frequency 170 Hz. At some point A, the intensity of the intensity…

Q: A very long insulating cylindrical shell of radius 6.70 cm cames charge of linear density 8.70 μC/m…

Q: Two identical 40-lb curling stones have diameters of 11 in. and may slide on a sheet of ice. Stone B…

A: Given Data: Mass of stones (m) = 40 lb.Diameters (d) = 11 in.Distance traveled by A (sA) = 108…

Q: Gabriel kicks a soccer ball with an initial velocity 22 meters per second, at an angle of 16o above…

A: Given data: Initial velocity of the ball (projectile), u=22 m/s Angle of projection, θ=160

Q: Below is a diagram showing two blocks joined with a rope that runs over a pulley. The mass m2 is 5.0…

Q: How far will 60J of work push a hockey puck if the applied force is 5N? 65 meters 300 meters 12…

A: Given:- The work done is W = 60 J The force applied by the hockey puck is F = 5 N Find:- How far…

Q: Find the angle of the sum of the three vectors shown in the figure, measured counterclockwise from…

Q: If a machine does work faster, what does that mean about the power rating? Time does not affect…

A: Given data: A machine does work faster Required: The power rating is smaller or larger

Q: A) What is the magnitude of the acceleration of the snow plow? B) How much time does it take the…

Q: For the circuit below, determine the MAGNITUDE of the CURRENT passing through each resistor. V₁ 19…

Q: The radius of a wheel is 0.700 m. A rope is wound around the outer rim of the wheel. The rope is…

A: Given, The radius of a wheel is r = 0.700 m

Q: Current Attempt in Progress A ball is thrown upward at a speed vo at an angle of 49.0° above the…

A: Given, Ball throw upward at his speed = v0 Ball throw upward at an angle = 49° Maximum Height = 7.8…

Q: Determine the direction of vector V measured counterclockwise from the positive x-axis.

Q: A razor blade hollowed out in its center (outer perimeter 154mm, inner perimeter 52mm, mass 1.3g)…

Q: Find the resultant and direction of the following forces acting on the same point and plane that…

A: Resultant and direction of the forces: We can use the vector sum method to find the resultant and…

Q: Course Contents » ... » HV The diagram below shows the initial velocity of an object. The magnitude…

Q: An electron of mass 9.11 x 10-31 kg has an initial speed of 3.80 x 105 m/s. It travels in a straight…

Q: A physicist at a fireworks display times the lag between seeing an explosion and hearing its sound,…

Q: 1) What is A the linear charge density along the arc? C/m Submit 2) What is Ex, the value of the…

Q: Two speakers are a distance d = 19.95m apart and emitting in-phase sound of frequency f = 55Hz. The…

A: The distance between the speakers, d=19.95 m The frequency of the sound wave, f=55 Hz The speed of…

Q: 2-5 Determine the magnitude, sense ,and direction of the resultant of the three forces acting at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: you will be given some values for a vector and will need to determine the missing values. Then, you…

A: As per guidelines, only 3 subparts are solved here. Magnitude of A =Ax2+Ay2 Angle of A = tan-1(AyAx)…

Q: You and your best buddy have to carry two crates up a flight of stairs. Your crate is work as you…

Q: determine the tension in the rope

A: To determine the tension in the rope, we first need to calculate the lift force on the balloon,…

Q: A 140-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in…

A: ω = ω0 + α t ; 0.4 * 2π = 0 + α * 2 ; α = 1.256 rad /s^2 ; I α = F r ; 0.5 * 140 * 1.5^2 *…

Q: When the red kangaroo of Australia is moving at full speed, it can bounce at a speed of 8.50 meters…

Q: 5. Consider an aircraft flying due east along the equator. Define an Earth-fixed coordinate system…

A: According to the guidelines, if more than one question is given then only the first is allowed to…

Q: What is the net electric field at the center of the metal ball? Enet Negatively charged What is the…

Q: A square metal plate of edge length 9.4 cm and negligible thickness has a total charge of 5.6 × 10-6…

Q: Two charges lie along the y-axis. One charge of -2.0 nC is located at coordinate (0,2), while the…

Q: Cardo shot a bullet from shoulder height (1.6 m). The initial speed of the bullet 196 m/s. (a) How…

Q: Course Contents » ... » HW #3 (due Mon 2/6 at 10am) » 2Dvcar The diagram below shows the initial…

Q: A uniform electric field of magnitude 345 V/m is directed in the negative y direction as shown in…

A: Let's understand the concept of electric field and electric potential: We know that: Electric field…

Q: For vectors B = -1-4ĵ and A = - 3î - 2ĵ. Calculate the direction of A+ B, in degrees, measured…

Q: the following circuit image. The circuit has parameters s = 1.5 kV, C = 7.5 uF, = R3 = 0.8M Ohm. The…

Q: A) what is the acceleration of the 4.00 kg crate? B) use Newton’s second law to find the tension T…

Q: Two capacitors are connected in parallel across a 24.0-V battery. If their capacitances are 16.0 μF…

Q: circuit consists of two resistors in series ( of values 8 and 4 ohms ) placed in parallel to a third…

Q: net electric force

A: Given: A charge q=1 nC at the origin. Charge q1=2 nC at 1 cm, 0 cm Charge q2=2 nC at 0.5 cm, 0 cm…

Q: A police officer is driving southbound on the highway at a speed of 24 meters per second. He sees a…

A: Speed of police car v1 =24m/s (-j) Speed of yellow car v2 with respect to observer Speed of…

Q: Find the mass, in kilograms, of an object that requires 6,444 J of work to lift it to a height of 33…

A: Given: Work (W)=6.4 kJ Height (h)= 33 m Solution : As we know, Work done…

Q: nipolov oxhion labini od dn 3. Car A traveling with an initial velocity of 15 m/s has an…

A: S=ut+12at2S=(−30 m/s)t+12(0 m/s2)t2S=(−30 m/s)t Write the second kinematic equation for car B and…

Q: object that has a grav the object's mass? 9.8 kg

A: GivenPotential energy, PE=734 JHeight, h=5 m

Q: A truck traveling along a straight ,level road at 45 miles per hour when the driver is forced…

A: Given data as per the question Velocity of truck =45 mi/hr Deceleration =22 ft/s2

Q: We know that the electric field inside of a conductor is 0 and yet we also know that to have that we…

A: The electric field inside a conductor is indeed zero, this is due to the fact that conductors…

Concept explainers

Maxwell speed distribution

Maxwell-Boltzmann distribution or commonly known as Maxwell speed distribution, explains the division of the energy levels of the molecules of an ideal gas on the basis of the statistical theory. In 1859, Scottish physicist James Clerk Maxwell established the context for the distribution of molecular velocities for random molecules moving in a closed environment. This theory was generalized in 1871 by German physicist Ludwig Boltzmann. He improvised the theory to express the distribution of energy levels among different molecules.

Question

What is the minimum energy required to go from one vibrational state to the next higher vibrational state for a molecule whose vibrations are modeled by a harmonic oscillator?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The v = 0 to v = 1 vibrational transition of the HI molecule occurs at a frequency of 6.69 × 1013 Hz. The same transition for the NO molecule occurs at a frequency of 5.63 × 1013 Hz. Calculate (a) the effective force constant and (b) the amplitude of vibration for each molecule. (c) Explain why the force constant of the NO molecule is so much larger than that of the HI molecule.
Consider the HCl molecule, which consists of a hydrogen atom of mass 1 u bound to a chlorine atom of mass 35 u. The equilibrium separation between the atoms is 0.128 nm, and it requires 0.15 eV of work to increase or decrease this separation by 0.01 nm. (a) Calculate the four lowest rotational energies (in eV) that are possible, assuming the molecule rotates rigidly. (b) Find the molecules spring constant and its classical frequency of vibration. (Hint: Recall that U=12Kx2.) (c) Find the two lowest vibrational energies and the classical amplitude of oscillation corresponding to each of these energies. (d) Determine the longest wavelength radiation that the molecule can emit in a pure rotational transition and in a pure vibrational transition.
The intensities of spectroscopic transitions between the vibrational states of a molecule are proportional to the square of the integral ∫ψv′xψvdx over all space. Use the relations between Hermite polynomials given in Table 7E.1 to show that the only permitted transitions are those for which v′ = v ± 1 and evaluate the integral in these cases.
2(6) Calculate the fundamental vibrational wavenumber (in cm-1) for HI molecule, if its angular vibrational frequency is 4.394×1014 s-1. Calculate the vibrational energy of the molecule in the ground state and the force constant. Assume the mass is the mass of a proton.
For a certain diatomic molecule, the lowest-energy photon in the vibrational spectrum is 0.17 eV.What is the energy of a photon emitted in a transition from the 5th exited vibrational energy level to the 2nd exited vibrational energy level, assuming no change in the rotational energy?
The effective spring constant describing the potential energy of the HBr molecule is 410 N/m and that for the NO molecule is 1530 N/m. (a) Calculate the minimum amplitude of vibration for the HBr molecule. (b) Calculate the minimum amplitude of vibration for the NO molecule.
The wavelength of the emitted photon from the hydrogen molecule H2 is 2.30 μm (micrometers) when the vibrational quantum number decreases by one. What is the effective "spring constant" for the H2 molecule in N/m ?What is the "zero point" energy (in eV) of the molecular vibration?
Calculate the maximum permissible frequency of a crystal if you know that the mass of an atom is 8*10^¯24 and that the force constant k is equal to 1732
Why in 3D vibrational motion the energy due to the energy equipartition theorem is 2 (3/2 NKT) = 3NKT?
Assume that the H2 molecule behaves exactly like a harmonic oscillator with a force constant of 573N/m. (a) Find the energy (in eV) of its ground and first excited vibrational states. (b) Find the vibrational quantum number that approximately corresponds to its 4.5-eV dissociation energy.
In a cubic lattice, what is the angle (in degrees) between the [010] and [001] directions?
How is duality manifested in the dual lattice structure of crystals in solid-state physics?