The energy of the quantum mechanical particle in a box decreases by decreasing the box dimension increasing the box dimension decreasing both the mass of the particle and the box dimension O decreasing the particle mass

Q: The potential energy of the free particle is Infinity Zero Must be a complex number Depend on the…

A: The potential energy of a particle is the energy caused by its position. Since the free particle is…

Q: 8 9 A quantum of electromagnetic radiation is a de Broglie wave wave function laser photon hologram…

A: 7) photon A quantum electromagnetic radiation is a photon, which is a fundamental particle of light…

Q: Explain the system of two quantum-mechanical particles ?

A: Let the spatial coordinates of two body system is r1 and r2. Then the wavefunction can be written as…

Q: Heisenberg's uncertainty principle states that (A) Charge and linear momentum of a particle could…

A: According to Heisenberg Uncertainty Principle it is mathematically formulated as ∆x ∆p ≥h4π∆x is the…

Q: Calculate the wavelength of an electron which has a kinetic energy of 4 eV

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Q: The probability of finding an electron is zero in pxy along __________ a) x-axis b) y-axis c)…

A: Option c

Q: The de Broglie wave length of electron accelerated from rest by 200V is

A: Given, v=200v λ=hP=h2meV=6.626×10-342×9.1×10-31×1.6×10-19×200=0.867×10-10 m

Q: s subshell p subshell 1000 d subshell f subshell electrons electrons electrons electrons shell How…

A: We know , for the principle quantum number (n) = any positive integer. For a value of n the angular…

Q: (6%) Problem 1l: Suppose a 0.38 kg billiard ball has a wavelength of 7.9 cm. This wavelength is big…

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Q: Determine the number of electron can stay in the n = 3 quantum state based on Pauli’s exclusion…

A: Pauli Exclusion Principle: Quantum numbers of same set can not be shared by two electrons.  For n=3…

Q: Why is it necessary to normalize quantum wave functions? Othis ensures that the wave function has no…

A: Here the question is asked Why is it necessary to normalize quantum wavefunctions?

Q: An electron with energy E moving in a potential profile For, Vez)=s Vi, t a V Vi egian I III When E…

A: For,  vx= v1  , x<00    , 0≤x≤av0  , x>aSchrodinger equation is given asEψ=-h22m∂2ψ∂x2+v0xa.…

Q: Consider an electron trapped in a one-dimensional, infinitely deep potential energy well. Which of…

A: For an infinitely deep potential energy well, potential energy at the walls is infinite. If an…

Q: Consider the spectral emittance for radiation from a blackbody at T=1500 K. Take an oscillator that…

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Q: Assuming that the precision in the linear momentum of a particle is equal to the particle momentum…

A: given: uncertainty in momentum is equals to its momentum ∆p=p

Q: A particle is restricted to a one-dimensional box of length L. It absorbs a photon whose wavelength…

A: Write a given values of this question.Other state of the photon jump.

Q: Laser light is created when a photon that is being emitted from an excited atom...  is stimulated…

A: The expression for energy in terms of frequency and wave length is E=hfE=hcλ Energy can be expressed…

Q: Let A and B be two mutually exclusive events, such that P (A) = 0.25 and P (B) = 0.35, determine:…

A: Introduction: Mutually exclusive events are called disjoint events. If two events are considered…

Q: 2- Show that

A: Introduction: For two physical quantities to be simultaneously observable, their operator…

Q: The width of the a (alpha) is at the base of the well to a particle within a one-dimensional…

A:

Q: Consider the situation below. Find the allowed energies of the particle. 0- I II III -- E a

A: Schroedinger time independent equation needs to be solved in all the three regions followed by…

Q: Write down the expression for the n=4 energy of a quantum particle of mass m in a box of width l.…

A: The expression of the energy for a quantum particle in box is given by…

Q: Assume that an Argon atom moves in one-dimension (along X-axis) inside a box of length Im and now we…

A: Given: The one-dimensional box length is L = 1 m The temperature of the argon atom is T = 1000 K The…

Q: For each of the following sets of quantum numbers, indicate the quantum number with an UNALLOWED…

A: 1.  n = 3 So l have possible values  from 0 to n-1 i.e 0 to 3-1  From 0 to 2  l = 0 ,1 , 2 We have…

Q: Calulate outaton [x, ê] and [ Ly! the com Hint :-

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Q: The allowed energies of a quantum system are 0.0 eV, 6.0 eV, and 9.5 eV What wavelengths appear in…

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Q: The uncertainty in the location of a particle moving with a velocity of 7.28 x 10' m/s is double of…

A: Given data: Velocity of the moving particle v=7.28×107 m/s. The de-Broglie wavelength associated…

Q: An electron has the quantum numbers ? = 2, ℓ = 1, ? = −1, ? = −1/2. The next electron has the…

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Q: Tell what is wrong in each of the following sets of quantum numbers: 2, 2, 0, +½ 3, 4, 2, -½ 3, 2,…

A: Condition of quantum number,n is always positive - n=1,2,3,...l is always positive-   l=0, 1,2,…

Q: When you flip a coin, the outcome is uncertain. Does this arise from quantum uncertainty?

A: Coin is too big a system for quantum uncertainty to show up.

Q: 6- prove that average (a + a*)² equal to (2n + 1) and the average of (a – a*)² is –(2n + 1)

A: Given: To prove that average (a+a+)2 = (2n+1) and the average of (a-a+)2 is -(2n+1)

Q: In quantum mechanics, the importance of commute operators is that We will be able to measure their…

A: Introduction: Commutators are very important in Quantum Mechanics. As well as being how Heisenberg…

Q: What did Schrodinger's Cat experiment prove?

A: Schrodinger's Cat experiment is a thought experiment devised by Erwin Schrodinger to explain…

Q: Under which scenario are quantum effects negligible? When the uncertainty in velocity is large…

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Q: According to the uncertainty principle, if the momentum of a particle is known with perfect…

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