The given wave function for the hydrogen atom is w =W100 +W210 + 3µ11 . Here, wim has n, 1, and m as principal, orbital, and magnetic quantum numbers respectively. Also, yim is an eigen function which is normalized. The expectation value of L in the state wis, 9h? (a) 11 (b) 11h? 20 (c) 11 (d) 21h?

Q: (structure below) is proposed as a model compound for an application of the particle-in-a-ring…

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Q: Assuming that the resolution of an electron microscope is equal to the de Broglie wavelength of the…

A: Speed of electron and wavelength are linked to each other as follows:

Q: What is the kinetic energy (in J) of a neutron with a wavelength of 73.2 pm?

A: Wavelength = 73.2 pm = 73.2 x 10-12 m

Q: The moment of inertia of an SF6 molecule is 3.07 × 10−45 kg m2. What is the minimum energy needed to…

A: Given:   The moment of interia of an SF6 molecule is 3.07×10-45 kg m2.

Q: What is the speed (m/s) of an electron if it has a wavelength of 521 nm? m/s (eg. 5.59E+7)

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Q: Normalize (to 1) the wavefunction e–ax in the range 0 ≤ x ≤ ∞, with a > 0.

A: Given: The wave function is as follows,

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A: According to Heisenberg’s uncertainty principle, if the accurate momentum of particle is known, its…

Q: For the system described in Exercise E7B.1(a) (A possible wavefunction for an electron in a region…

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Q: The normalized wave function for a particle in a one- dimensional box in which the potential energy…

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Q: By considering the integral ∫02π ψ*ml ψml dϕ, where ml≠m'l, confirm that wavefunctions for a…

A: The expression for the wave function of a particle in a ring is as follows,

Q: Consider a collection of 10,000 atoms of rubidium-87, confined inside a box of volume (10-5 m)3.…

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Q: 11_1) The following probability density refers to a certain state of particle in a box. What is the…

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Q: 1. What is the orbital angular momentum of an electron in the following five orbitals: а. 1s b. 2s…

A: There are five orbitals :  (a) 1s  (b) 2s (c) 2p (d) 3d (e) 5f . We have to find out the value of…

Q: 7A.3(b) Calculate the speed to which a stationary 'He atom (nmass 4.0026m.,) would be accelerated if…

A: Dear Student, Since the question you have asked involves multiple sub questions. According to our…

Q: 6.7 A (a) What are the possible values for ml when the principal quantum number (n) is 2 and the…

A: An atom contains a nucleus and outer orbitals. In the nucleus, protons and neutrons are present and…

Q: Calculate and compare the energy of a photon ofwavelength 3.3 mm with that of wavelength 0.154 nm.

A: Given: Wavelength = 3.3 mm Wavelength = 0.154 nm

Q: (iii) Show that the wave function of the particle in the potential well is NA X w.(x) = C sin n =…

A:

Q: Answer the following: a. For n 4, what is the largest allowed value of €? b. What is the magnitude…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: P7D.8* A particle is confined to move in a one-dimensional box of length L. If the particle is…

A: a.

Q: The ground-state wave function of a hydrogen atom is: e (ra') where r is distance from the nucleus…

A: Given as ao=53pm ro=1.2 pm The probability of electrons somewhere within the small sphere has to be…

Q: 2. Which of the following wavefunctions are eigenfunctions d? of the operator dx² For those that are…

A:

Q: 2. Which of the following wavefunctions are eigenfunctions of the momentum operator? For those that…

A: Eigen function of an oparetor are those which on applying the oparator we get back the function…

Q: The Hamiltonian operator y for the harmonic oscillator is given by Ĥ = - a h? d? + suw? â?, where l…

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Q: The speed of a certain proton is 0.45 Mm s−1. If the uncertainty in its momentum is to be reduced to…

A: Given  Information - speed of proton = 0.45 Mm s-1 uncertainity in momentum = 0.0100 % = 0.0001 To…

Q: (a) If  = 3x? and B = , then show that  and ß donot commute with respect to the dx function f(x) =…

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Q: dxz (. 15 sine cose cos4) is an eigenfunction of l, OT

A:

Q: How many possible values of angular momentum quantum number l are there in the shell with n = 4?

A: The 4 quantum numbers are  1) Principal quantum number (n) = shell number or orbit number  2)…

Q: If the radius of gold is 0.144 nm, what is the PD of the (111) plane for gold in m-2?

A: Convert unit of radius:

Q: 421) The moment of inertia of an SF, molecule is 3.07 x 10 kg m. What is the minimum energy needed…

A: Given, the moment of inertia of an SF6 molecule = 3.07×10-45 kg m2 The minimum energy needed to…

Q: Eux, w m = 8 mL a particle in a cubic box, how many degenerate energy levels have energy equal to 14…

A: Degenerate orbitals  are defined as orbitals which  are having same energy levels

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A:

Q: 4. What is exclusion principle? What are the reasons, do you think, behind the anomalies of the…

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Q: P7F.9 In this problem you will establish the commutation relations, given in eqn 7E. 14, between the…

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Q: What is the wavelength in nm  of a photon emitted from an electron going from n=5 to n=3 in a…

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Q: An electron is confined to a square well of length L. What would be the length of the box such that…

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Q: Write down the expression for the radial distribution function of a 2p electron in a hydrogenic atom…

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Q: 1/2 ()" The eigenstates of the particle-in-a-box are written, ηπχ. sin If L = 10.0, what is the…

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Q: 7A.1(b) Calculate the size of the quantum involved in the excitation of (i) an electronic…

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Q: Consider a particle of mass m confined to a one-dimensional box of length L and in a state with…

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Q: Write the wavefunction for a particle of mass 2.0 g travelling to the left with kinetic energy 20 J.

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Atomic Structure

The basic structure of an atom is defined as the component-level of atomic structure of an atom. Precisely speaking an atom consists of three major subatomic particles which are protons, neutrons, and electrons. Many theories have been stated for explaining the structure of an atom.

Shape of the D Orbital

Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.