Question Two:( 5marks) 1/ Is +v(x) where v(x) is polynomial in x , a Hermitian operator ? why? 2m dx2 (3marks) 2/ Calculate energy of photon of 253.6 nm light , state the energy in ev. (2marks) (Hint: h= 6.626 x 10-54).s , m for proton = 1.627 x 10-27kg .c is speed of light = 3 x 10m/s)
Q: Consider the He₂+ diatomic ion. Set up the Hamiltonian for the system, labeling the atomic nuclei…
A: In the Born-Oppenheimer approximation, we can separate the electronic and nuclear motions. Thus, the…
Q: c) How about the 2rd excited state (3) to the ground state (1)? Wh wavelength and what color? d)…
A: (c) The energy level 3rd (second excited state) to ground state (1) is E=3.98×10-19 J The…
Q: Ql: Compute the radiation frequency obtained from electron transition between two energy states (E4…
A: Given: E0=-8ev En=E0n2
Q: Consider a collection of 10,000 atoms of rubidium-87, confined inside a box of volume (10-5 m)3.…
A: The mass of rubidium-87 is, The box’s length is,
Q: mi mass E <h E: Encray h - ikx when o<x, fi:Ae eneray Sters A,B,c where 4: indicate wave is complex…
A: Given: The wavefunction is given by
Q: Estimate the wavelength of the highest-Q mode of a microsphere with radius a=50 um and dielectric…
A: The circumference of the microsphere satisfies the below condition for the wavelength of the…
Q: and then find the average value of the Normalize 2s orbital, w,(r) =|2 a. e? 1 for 2s orbital.…
A: The wave function of a particle or a system gives information of its state and various values like…
Q: The lifetime of the 4P1/2 state of potassium is 27.3 ns.What are the Einstein A and B coefficients…
A: Given: The lifetime of the P124 state of potassium is 27.3 ns. Introduction: Laser action arises…
Q: In quantum mechanics, the angular momentum operator L. is given by L = L, + iL, = e" ticot(0); Show…
A:
Q: ) What are the allowed values for total spin angular momentum of the hydrogen atom having 1 proton…
A: Spin angular momentum arises due to the spin angular momentum quantum number of a quantum particle.…
Q: Is the total system energy of a dipole a positive potential or a negative potential? Explain your…
A: Total system energy of a bound system is always negative. This is so because we take the total…
Q: Consider the values of s and ms for an electron. Write all possible values of s for an electron.
A: s: spin quantum number. electron is spin 1/2 particle. thus , value of s for electron is 1/2 s=1/2
Q: inside the box will equal to the speed of light? NO NEED TO SOLVE SINCE CORRECT ANSWER IS
A: Given:- I have an electron that I want to put in a rigid box Find;- How small do I need to make the…
Q: Consider the hydrogen atom. (a) For the ground state (n = 1), first excited states (n = 2), and…
A: The above problem can be solved by using Bohr's concept. Bohr's model of hydrogen is based on the…
Q: 5. Find the electrostatic potential in the slit upper half-plane with the boundary values as…
A:
Q: 2. List the | nlmm,> states available to an electron in a 4f subshell.
A: Given electron is in 4f subshell The principal quantum number tells us about the energy of an…
Q: Q12. For an electron in a three-dimensional box of length L = 0.5 nm calculate the lowest four…
A: For an electron in a 1D of side L, Energy is given by En = n2h28mL2…
Q: Problem: In the problem of cubical potential box with rigid walls, n? + ng + n = 14, Write down: 1-…
A:
Q: A particle of spin 1 and a particle of spin 1/2 are in a configuration for which the total spin is…
A: Given data : Spin of the particle first= 1/2 Spin of the particle second = 1 . total spin equal =…
Q: 6. A quantum system is in a state u). Suppose, in this state a physical quantity which corresponds…
A:
Q: The spectral line of calcium 4227 nm gives the normal Zeeman effect (J = L S), showing three…
A: As given, The wavelength, λ=422.7 nm=422.7×10-9 m The frequency, ∆ν=4.22×1010 Hz The flux density,…
Q: The complete wavefunction for a particular state of hydrogen-like atom is y(r, 0, 0) = Nr² e-Zr/3a…
A: We will answer the question by writing the eigen equation for the angular momentum operator. The…
Q: Magnetic field B = 2.7 T. Find the energy of transition of the proton from the basic state to the…
A: We have a proton in a magnetic field B=2.7 T transitioning from ground to the first excited state.…
Q: PROBLEM 3. For a hydrogen atom in the ground state (l = 0), calculate: 1. The mean-squared radius,…
A: The hydrogen atom in the ground state, therefore the quantum numbers of hydrogen atom is given as, n…
Q: Q.1/ The wave function of the electron in (H-atom) that depends on the variable (o) only is P() =…
A: The Schrodinger equation in spherical coordinates is given by Here, for hydrogen atom, And given,…
Q: how wide is the box, in femtometers?
A: The particle in an infinite potential well is characterised by the length and state of the particle.
Q: 3. A continuous helium-neon laser emits a beam that diverges at an angle of 4.2 x 10 rad. Calculate…
A: The width of cross section is given by w=d×θd=distance θ=divergence angle given that θ=4.2×10-5 rad
Q: (a) When only a single side of a cubical box is doubled, what happens to the ground state energy of…
A: Suppose m & L be mass of particle and side of cubical box.We cubical box behave like a infinite…
Q: Answer the attached question.
A: Given that, Eo = 2π2qe4mek2h2 ---(1) Where, me = Mass fo electron = 9.11*10-31Kg qe = charge on…
Q: Find all possible 28+"L terms in L-S coupling for Si(Z=14). Base with the help of Hund rules m www…
A:
Q: 4.8. Solve Schrödinger's equation for the ground state of helium neglecting the potential term…
A: The Hamiltonian for the Helium atom be given as,…
Q: Q5: Apply the Ľ² and Lz operator on the spherical harmonics (wavefunctions) below. a) (2) Cos b)…
A:
Q: An electron propagates as a plane wave having wave length A = 2 A and this electron in one…
A: wave length of the electron, λ=2 AThis electron is located in a one dimensional box (say) with the…
Q: Part A For an electron in the 1s state of hydrogen, what is the probability of being in a spherical…
A:
Q: For the wavefunctions and and the operator A the bra-ket notation of the integral q*Ãødt = : ○a. O…
A: Bra-ket notation is a standard notation for expressing quantum states in quantum mechanics theory…
Q: intinite poten Hn electron trap in an leng Electron can be considered as Well with th 2.00 nm free…
A: The wavefunction is ψx=A sinnπxL. The value of A is calculated using normalization condition,…
Q: P.) =(qî) must vanish. Do not need to do a calculation. ) Show that for some of the n=2 states the…
A: Laporte's rule states that: Matrix elements of the dipole moment operator vanish between states with…
Q: do some quantum Consider a three-dimensional vector space spanned by an orthonor- mal basis |1),…
A: Vector spaces consist of sets of vectors whose elements can be added or multiplied by scalars. Two…
Q: The energy absorbed in the transition from n=1 to n=2 for a 1-dimensional harmonic oscillator is hv.…
A: Given that: Transition from n=2 to n=1
Q: 1. The state of an electron is described by the wavefunction P(x,y,z) = Cxye-Vx²+y*+z*)/a Where C…
A:
Q: electron is confined to a one-dimensional region in which its ground-state (n = 1) energy is 1.95…
A:
Q: 1. Calculate the scattering cross section in the Born approximation for: (i) the square well of of…
A:
Q: A proton is launched from very far away directly toward the nucleus of a Mercury atom. Ifthe initial…
A: Introduction: The proton and nucleus are considered as a point charged mass. When the proton is…
Q: Consider the step potential function shown below. Assume that a flux of electrons has energy E and…
A:
Q: Ex. 8: Calculate the energy of the electron in the first orbit in a hydrogen atom. Express the…
A: To find-Energy of electron (E1)=?Given-m=9.1×10-31 kge=1.6×10-19 C∈0=8.85×10-12 C2/Nm2h=6.63×10-34…
Q: A LIB molecule oscillates with a frequency of 1.7 x 1013 Hz. (a) What is the difference in energy in…
A:
Question Two:( 5marks) 1/ Is +v(x) where v(x) is polynomial in x , a Hermitian operator ? why? 2m dx2 (3marks) 2/ Calculate energy of photon of 253.6 nm light , state the energy in ev. (2marks) (Hint: h= 6.626 x 10-54).s , m for proton = 1.627 x 10-27kg .c is
Step by step
Solved in 2 steps with 2 images
