What angles can the spin S of an electron make with the z -axis?

Q: What is the ratio of the sth orbital to the 2nd r orbital in the Bohr model of the atom? O A. 2.5 O…

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Q: f one interchanges the spatial coordinates of two electrons in a state of total spin 1  A. The wave…

A: If one interchanges the spatial coordinates of two electrons in a state of total spin 1.

Q: If the angular momentum of an electron atom of hydrogen is equal to 34- ^ 10 × 3.15 j.s, in what…

A: The theory of quantization of angular momentum is applied here.  Given = energy in some quantum…

Q: The Pauli spin matrices in quantum mechanics are 0 A B C = -1 0 Show that A2 B2 C2 = 1. a) -BA b)…

A: a)For matrix A

Q: Why are three quantum numbers needed to describe the state of a one - electron atom (ignoring spin)?

A: There are total of four quantum numbers: the principal quantum number, orbital angular momentum…

Q: A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The…

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Q: By giving an appropriate value to r, show that 1 1 1 4 3

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Q: From which atom of each of the following pairs is it easier to remove an electron: (a) krypton or…

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Q: Describe the radial probability function for the orbital?

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Q: A hydrogen atom is in the stationary state (n, I, m) = (5, 3, 1) What is the angle between the…

A: (n,l,m) = (5,3,1)using formula, cosθ = Lz/L = m /l(l+1)

Q: Vhat is the greatest magnitude of the orbital angular momentum L that you can find in a state vith…

A: Given: n = 6

Q: How many distinct angles from the vertical axis can the orbital angular momentum vector L make for…

A: There are 2l+1 possible distinct angles from the vertical axis the orbital angular momentum vector…

Q: For the electrons in the spin and angular momentum is zero, so, these electrons do not contribute to…

A: Magnetic moment is directly dependent on the spin and angular momentum.

Q: Hydrogen atoms in interstellar gas clouds emit electromagnetic radiation at a wavelength of 21.0 cm…

A: Given data: The wavelength is λ=21 cm.

Q: Show that the speed of the electron in the nth Bohr orbit in hydrogen is given by

A: Step 1According to Bohr, there occurs the quantization of angular momentum or it can be stated as,…

Q: .What is the orbital angular moment um of the electron in the third orbit ? (Ans. 3xħ = 1.97 x…

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Q: 1 – 2i An electron is in the spin state x = A 2 Find the value of A so that the state is normalised.

A: Value of A is 1/3.

Q: The energy of a hydrogen atom is 12.09 eV above its groundstate energy. As a multiple of U, what is…

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Q: What is the full electron configuration in the groundstate for elements with Z equal to (a) 26, (b)…

A: Electronic configuration

Q: If the angular momentum of an electron atom of hydrogen is equal to 3.15 x10-3ª J.S in what orbit is…

A: Given data, Angular momentum of the electron = 3.15x10-34 J.S

Q: Use the following Stern-Gerlach configuration to answer Questions 7 & 8. - A 7. What percent of the…

A: Given a system of electrons which are passed through a Stern-Gerlach apparatus.

Q: Calculate the angular momentum for an orbit of atom.

A: The mathematical formula to calculate the angular momentum for an orbit of an atom is, P=nh2π Here,…

Q: Show that (13.6 eV)/hc = 1.097 X 107 m = R (Rydberg’s constant), as discussed in the text.

A: Spectral series of H2 atom: Expression of e- energy in nth orbit is: E=2πmk2Z2e4n2h2 Expression of…

Q: Consider an electron is in the level of n= 2 for hydrogen atom. Calculate its angular momentum. (A)…

A: According to Bohr's theory, for electron in energy state n=2 ,   L=mvr  =nh2πL=2h2π   =hπ

Q: (a)What is the magnitude of the orbital angular momentum for an l=3 electron?  (b) calculate the…

A: a) The expression for find magnitude of orbital angular momentum is L=ll+1h2π Substitute values in…

Q: If the electron represented by 8(t=0)= (6) and given by the spin state function 8(t=0) at time t=0…

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Q: What is the electric field of a proton at the first Bohr orbit for hydrogen (r = 5.29 × 10−11 m)?…

A: Given Data The radius of hydrogen r = 5.29 x 10-11. The charge proton qp = 1.6 x 10-19 C. The charge…

Q: Show that the speed of the electron in the nth Bohr orbit in hydrogen is given by…

A: Write the expression for radius of the Bohr orbit in hydrogen. r =nh/mun           ……. (1) Here, r…

Q: Calculate the ionization energy (eV) for a 'hydrogen-like' atom with one electron and Z = 3 from the…

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Q: Q5:B: find the the magnetic moment of electron and angular momentum if the r=5.28x10" m for hydrogen…

A: If we consider a bar or any dipole magnet and placed it within the flux, then that field will create…

Q: While studying the spectrum of a gas cloud in space, an astronomer magnifies a spectral line that…

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Q: Consider a simple model of the helium atom in which two electrons, each with mass m, move around the…

A: Given: Mass of each electron = m Charge on electron = +2e Orbital angular momentum = U Two electrons…

Q: The radius of the innermost electron orbit of a hydrogen atom is  5.3×10-11 m. What are the radii of…

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Q: f angles that L can make with the z-axis for an l=3 ele

A: We know that the relation between the angular momentum quantum number and the angular momentum…

Q: Compare the average positions of the electron for H and He*.

A: Given : To compare average positions of electrons in H and He+ .

Q: The most probable distance of the electron. %3D

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Q: An electron bound to an atom has principal quantum number n = 3 and spin quantum number m, quantum…

A: n = 3therefore, l = 0,1,2therefore, ml for l=0 : 0  ml for l=1 : 0,1,-1  ml for l=2 : -2,-1,0,1,2

Q: Calculate the magnitude of the orbital magnetic dipole moment of an electron (in terms of μB) in the…

A: The magnitude of the magnetic moment μcan be expressed in terms of the orbital angular quantum…

Q: )In the model of the hydrogen atom proposed by Bohrin 1913, the electron moves around the nucleus at…

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Q: Calculate the (a) smaller and (b) larger value of the semiclassical angle between the electron spin…

A: The magnitude of spin angular momentum is The z-component therefore is

Q: A spin state in an arbitrary direction is given.

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