[1,1] [0,1], [3,3], [2,3], [1,3] , [0,3]
Q: b) Find the commutator relation 1) [Z², L,] 2) [H,x]
A: (1) [ z2, Lz] = [zz,Lz] = z[z,Lz] + [z,Lz]z But, [z,Lz] = 0 then,…
Q: 7. (a) What are the possible values of 1 for n = 6? (b) What are the possible values of m, for 1 =…
A: a)The possible values of l are0,1,2,3,4,5b)The possible values of ml…
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A:
Q: The energy of the four non-interacting identical fermions and bosons in one dimensiona! box of size…
A: Energy on particle in a box En=n2ℏ2π22ma2
Q: Find the energy of: u(t) – u(t +1) - (a) (b) 0 (c) 1 (d) 2
A: Given Signal = u (t) - u (t+1)
Q: Evaluate the lifetime (in seconds) of the transition |2, 1,0) → |1,0,0) of hydrogen.
A: Step 1:Step 2:Step 3:
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Q: 39. ssm In the lungs there are tiny sacs of air, which are called alveoli. A oxygen molecule (mass =…
A: Given: The mass of the oxygen molecule is 5.3×10-26 kg. The uncertainty in the position…
Q: The proton (mass M) and electron (mass m) in a hydrogen atom actually rotate about their common…
A: The radius of the nth orbit is r=4πε0ℏ2μe2n2 Here, r is the electron nucleus distance. The distance…
Q: Using the formula for the hydrogen atom energy levels, En constant can be written in terms of…
A: Given,En =- μe48ε02h21n2RH = μe48ε02h3cRH →R∞ in the limit μ→me(a) This constant be define for a one…
Q: Consider a free proton (a proton not in the nucleus of an atom, not interacting with any other…
A: The proton is moving through space and without any interaction. Hence, it will be moving with…
Q: → A partide iš in state 14> =E Cnlnyec Entita the (Eiginstates =7 Ain>= Eniny.)- i)what is . Is…
A:
Q: (a) The Lyman series in hydrogen is the transition from energy levels n = 2, 3, 4, ... to the ground…
A: a) Given For the Lyman series in a Hydrogen atom The energy of each level is En=-13.6eVn2 So when an…
Q: The actual ground state of atomic argon (Z = 18) is 1s 22s 22p 63s 23p 6 A: In a universe where the…
A:
Q: A system of 4 identical non-interacting spin-1/2 particles confined to a three-dimensional cubic…
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Q: It requires 3.69 x 10-19 J of energy to eject an electron from potassium metal. Calculate the…
A: Minimum energy required to eject electron from potassium metal = 3.69 * 10-19 Joules Using,…
Q: I was trying to comprehend this problem (see attached photo). Bohr's atomic model states that the…
A: Actually , KE Energy of atom = KE = 12xmv2 =12mm2v2 =12m p2 =n2h28π2mr2 and TE=2π2me4z2k2n2z2
Q: The uncertainty in energy of the uncharged pi meson, expressed in eV is .[Rest ..... ...... energy…
A:
Thank you. What about [1,1] [0,1], [3,3], [2,3], [1,3] , [0,3]?

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- Which has more total energy: a hydrogen atom with an electron in a high shell (large n) or in a low shell (small n)? Which is moving faster: the high-shell electron or the low-shell electron? Is there a contradiction here? Explain.(b) According to Bohr's atomic model, a one-electron system is described by the atomic number Z and the speed vn of the electron at a radius m in the n-th quantum orbit: Z.e² 1 h² €0 Vn = 2.h.Eon rn •N² π ● me e². Z me (i) Calculate the radius and the velocity for the first quantum orbit of the single ionised helium atom. (ii) Calculate the value for the velocity uncertainty, Avx, of the electron in the singly ionised helium atom results, if a spatial uncertainty Ax of the electron is assumed to be the diameter of the first quantum orbit. (iii) Explain the relationship between simultaneous measurements of Bohr's orbit radius and the orbit speed on the first quantum orbit. ●16. 23 567 Electron in 6th excited state in Li** (at rest) jumps. to 2nd excited state. h, R, m are Planck's constant, Rydberg constant, mass of Li (ion). Find the speed acquired by Litt (ion). ++ ++ 3hR 3hR (1) (2) 4m 8m 40 hR 36 hR (3) j (4) 49 m 98 m
- iii) Consider a 2D square potential energy well with sides L (length) containing six electrons. The potential energy is infinite at the sides and zero inside. The h? single-particle energies are given by 8mL +n), where n and ny are integers. If a seventh electron is added to the system when it is in its ground state find the least energy the additional electron can have?Calculate the wavelength of the photon emitted when a particle of mass 1.0 x 10-27 g, in a potential box of length 6.0 Å, goes from the = 5 to the = 4 level. [5][QUANTUM PHYSICS]