Q.3 (a) is d/dx a linear operator (b) Is √ a linear operator

Q: For the hydrogen atom, show that V100 and Y300 are orthogonal.

A: The detail explanation is given below

Q: Which of the following function is an eigenfunction of operator d/dx? sin ax exp(ax) exp(ax.x) cos…

A: The function is an eigenfunction of operators d/d and oxidation state of iron in oxyhemoglobin is…

Q: What configurations must undergo the distortions predicted by the Jahn-Teller theorem? Why is…

A:

Q: What is the degeneracy of a molecule rotating with J = 4?

A: Degeneracy of energy levels- Simple meaning of degeneracy of energy levels is energy levels with…

Q: 23. What is the point group of the Audi logo? A. Can В. С C. Da D. Cи E. S

A:

Q: Chemistry iv. Which of the following integrals used to calculate the expected value of an operator…

A: Here we are required to find the integral used to find the expectations value of the operator O.

Q: List all the possible theoretical values of I if n=5. А. 1 В. З C. 4 D. 2 Е. О F. 5 G. 6 Rationale:

A: l can have any values 0 to n-1.

Q: The operation S5 is equal to O1 (perpindicular) A True B) False

A: The improper axis of symmetry assigns a fixed number of rotations for a given molecule. For example:…

Q: Consider the simple functions below, f(x) = x² (1) f(x) = x3 (2) f(x) = x* + 2x³ (3) f(x) = sin(x)…

A:

Q: What is the y-intercept of the line y =- 2 /3 x? а) - 2/3 b) 1 c) 0 d) 3/ 2

A:

Q: Q1. If the movement of a particle on a ring (circle) is given by either (a) e or (b) e'mo where m is…

A: All details explanation in Handwritten solution .

Q: How do the energy eigenstates of the 2D rigid rotor compare to (1) the eigenstates of a free…

A:

Q: What is the degeneracy of a molecule rotating with J = 3?

A: The phenomenon by which a single energy level corresponds to two or more than two states of motion…

Q: Question 1…

A:

Q: What shape should the calibration plot be? A. exponential B. linear C. logarithmic D. parabolic

A: The correct option is (B)  Calibration curve is a general method for determining the concentration…

Q: R(x)=x2+9x+8/x+1 What is the equation of the vertical​ asymptote(s) of R(x)​?

A:

Q: 5.) Calculate the energy of separation of Ir (2) and √ (3), (1, 2) and (2, 2), I (1,1,2) and I…

A:

Q: Calculate the Qexp of the outlying result in the data set: 7.68, 5.63, 5.89, 5.28, 5.42, 5.47, 5.06,…

A: Steps to be followed (1) Arrange in increasing order of data set     5.06, 5.28, 5.42, 5.47, 5.63,…

Q: For a system rotating in three dimensions. what is the degeneracy of the level with I=4? What are…

A: Magnetic quantum number It specifies the orientation in space of an orbital. s-subshell has one…

Q: Use linear approximation, i.e. the tangent line, to approximate 2.86° as follows: Let f(x) = x³. The…

A: Given that : f(x)=x3

Q: y-projection of the spin operator sy = e eigen values and the normalized eigen fun the eigen…

A: Given: Sy=h20-ii0=0-ih2ih20

Q: Given the following values of AHm,ASîxn, and T, determine ASuniv-

A: ∆G=∆H-T∆S   ∆G= change in Gibbs free energy ∆H=change in enthalapy T=Temperature in Kelvin ∆S=change…

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: h д The energy operator for a time-dependent system is - 2πί θt A possible eigenfunction for the…

A: Probability density = ∫ψψ*dτ where ψ = given function = ψ (x,y,z)e-2πiEt/h and ψ*= complex conjugate…

Q: What is the eigen value when the eigen function e* is operated on the operator d" I dx" ? ( A ) α"…

A:

Q: f. Since questions 2d and 2e express the length of the diagonal when the side is "a" set them equal…

A: A body-centered cubic unit cell consists of atoms arranged in a cube in which each corner of the…

Q: What is the eigen value of the function e* when operated on the operator d" / dx" ? (A) a" (В) ха"…

A: The Hermitian equation is shown below: A^ψ=aψ where; a = eigen value A^ = operator ψ = eigen…

Q: Draw scale vector diagrams to represent the states (i) l = 1, ml = +1, (ii) l = 2, ml = 0.

A: The vector  diagrams to represent the states (i) l = 1, ml = +1 has to be given, i) The vector…

Q: Which of the following expression/s are not equal to the commutator [x, px³]? (Select all that…

A:

Q: Conjugate matrices are different matrices in the same coordinate system. Select one: O True O False

A: Correct 2nd option is  correct that is false Reason : Conjugate matrices are same matrices in the…

Q: B A D +y -IN -IM

A:

Q: ve turn on an electric field in the z direction. Construct the 9 x 9 matrix representing the…

A:

Q: OIf  = a +2x B= d - 2x %3D %3D Evaluate:AB f(x)

A:

Q: Q: Does the operator of 3 on the following function give a linear function 1-

A: Let us try to solve the function.

Q: 25. A mass attached to a spring vibrates with a period of o.5 s. When the mass passes through its…

A:

Q: Solve the both questions

A: Q.1. The given wave function is- ψ(x) = coskx Hx^=-h22m∂2∂x2+Vx Now, to check for Eigenfunction it…

Q: Assuming that , and are normalized calculate the normalization constant for the function f(x) where…

A: We have to calculate the value of the normalization constant (N).

Q: 3) Consider an electron in a one-dimensional square potential well of width 3Angstrom, and…

A:

Q: An identity matrix is represented by........... a. HH-1H b. HH-1 c.

A: Group theory is the tool that is used to determine symmetry elements. Identity, Inverse matrix are…

Q: What is the eigen value when the eigen function eª* is operated on the operator d" / dx" ? (А) а "…

A:

Q: 13. Which of the following are operators are hermitian? Is Hermitian Is not Hermitian  = d/dx  =…

A: The operators  which are hermitian or not is given below.

Q: Q18. What is the degeneracy of a state Wizs for a particle confined in cubic box? F) 5 B) 3 C) 4 D)…

A:

Q: Assuming a harmonic potential, the fundamental transition for a diatomic molecule is 558 cm1. What…

A: Fundamental frequency = 558 cm-1. Vibrational energy level, V = 4

Q: Show if the time independent hamiltonian operator is hermitian or not ħ? d? L A V(x) 2m dx?

A: Hermitian operator: An Hermitian operator is define as the physicist's version of an object to which…

Q: Qi/ Calculate the normalization factor for the function p}(0) , if let p?(e)= Nsin Oco se?

A: We will calculate the normalisation factor for the given function as mentioned in the question.

Q: Calculate the Qexp of the outlying result in the data set: 8.33, 5.24, 5.74, 5.32, 5.8, 5.66, 5.34,…

A: DIXON`S Q- TEST:

Q: Form. Deteímine if Fin d the simpiest the operators are Commuting or noncommuting 1.) and x 1) Ŕ and…

A:

Q: Q.4 (a) Write down the operator A^2 for (x. d/dx) (b) The operator (x+d/dx) has the eigen value α.…

A: Part (a) If Let A = (x.d/dx) operate on a function f(X), then A2f(x) = (x.d/dx).(x.d/dx).f(x), on…

Q: Which of the following functions can be normalized (in all cases the range for x is from x=…

A: The given region is – infinity to + infinity.(i) First consider the function, sin (ax):The limiting…

Quantum Chemistry

Quantum chemistry deals with the properties of chemical systems and their reactions. The branch of chemistry which is more concerned with quantum chemistry is physical chemistry. It is a more sophisticated field of theoretical physics which is concerned towards the application of physical concepts towards various chemical aspects such as, formation of atoms, chemical structure descriptions, chemical bond strength, hybridization, conjugation etc. Quantum chemistry mainly studies the various states i.e., ground state, excited state, transition states of the individual atoms or molecules taking place during any chemical reaction. The laws of motion explained by various scientists, which are termed as “classical mechanics” were not acceptable in terms of electrons, protons, atoms, light etc. Thus, a new theory named “quantum mechanics” emerged to understand the basic framework of various atomic and subatomic particles.