An atom in a 3d state emits a photon of wavelength 475.082 nm when it decays to a 2p state. Find the allowed transitions if the atom is now in an external magnetic field of 3.500 T. Ignore the effects of the electron’s spin.

Q: An electron in the hydrogen atom makes a transition from an energy state of principal quantum…

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Q: Given the value of Rydberg constant is 107m−1, the waves number of the lest line of the Balmer…

A: We know that: λ1= R(1/n12−1/n22)

Q: Consider only the Lyman, Balmer and Paschen series for the energy diagram provided for an unknown…

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Q: A beryllium nucleus (Z=4) is orbited by a single electron in the ground state. The electron absorbs…

A: Solution: The wavelength and the number of excited states are related with the following relation.…

Q: A hydrogen atom is in a state with principal quantum number n = 5. What possible values of the…

A: The equation used to calculate orbital quantum numbers are l=0,1,2,.....n-1

Q: An electron in a hydrogen atom is in a state with l=5 .What is the minimum possible value of the…

A: The expression for the required angle between L and LZ is,

Q: A certain atom has an electron in the n=4 state with m=1. What is the minimum possible value of l?

A: Given: n=4 , m=1  Find : minimum possible value of l

Q: The two hydrogen-like atoms Li2* and B4t are both in the n=4 excited state. How much more energy…

A: The energy of the electron in a hydrogen-like atom is given by : EeV=-13.6n2Z2Here, n is the orbit…

Q: List all possible sets of quantum numbers (n,l,m1,ms) for the n=3 shell, and determine the number of…

A: Given:-           quantum numbers (n,l,m1,ms) for the n=3 shell are following:

Q: What is the difference in the various Bohr radii rn for the hydrogen atom (a) between r1 and r2, (b)…

A: (a) The radius of nth orbit in the hydrogen atom is rn=n2a0 Here, a0 is the radius of the Bohr…

Q: A cubical box of widths Lx= Ly = Lz = L contains eight electrons.What multiple of h2/8mL2 gives the…

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Q: For an electron in a 3p state, determine the principal quantum number and the orbital quantum…

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Q: the Lyman series of hydrogen is made up of those transitions made from higher level to n=1, If the…

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Q: What is the initial state ni of a hydrogen atom that transitions to the nf = 3 state and emits a…

A: Final state, nf = 3 Wavelength, λ = 1094 nm Initial state, ni = ?

Q: A hydrogen atom in its n = 9 state is ionized by absorbing a 109 nm photon. If all the excess energy…

A: The value of the wavelength of the incident photon is λ=109 nm The state of the hydrogen atom is n=9…

Q: Show that an energy difference of 2 x 10-3 eV for the 3p subshell of sodium accounts for the 0.6-nm…

A: Given: The energy difference is ∆E=2×10-3 eV. The wavelength of the spectral line is λ=589.3 nm.…

Q: certain atom has an electron in the n=5 state with m=2. How many values of l are possible?

A: these are quantum numbers that define the state of an atom n = principal quantum number  m =…

Q: Identify the line with the smallest energy in the Balmer series. What is the energy of the emitted…

A: We use quantum theory of light to solve the problem

Q: Which of the following transitions for quantum numbers (n, ℓ , mℓ , ms) are allowed for the hydrogen…

A: The selection rules for the transition to occur are as follows:…

Q: A hydrogen atom in its n = 4 state is ionized by absorbing a 268 nm photon. If all the excess energy…

A: Given that the wavelength of the photon is 268 nm. So, the energy obtained by absorbing a photon is…

Q: An electron is in the n = 6 state of a hydrogen atom. It absorbs an incident photon and is ejected…

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Q: A photon is emitted during the transition from the n = 7 state to the n = 1 state in the Note:…

A: Given that, n2= 1 n1 = 7 Rydberg constant R= 2.18×10-18 J

Q: The energy difference between the 3p and 3s orbitals is 2.200 eV. Calculate the wavelength of…

A: Given : E = 2.200 eV = 2.2(1.6 x 10-19) = 3.52 x 10-19 J

Q: A hydrogen atom in the n = 2 state absorbs a photon with wavelength 397 nm. Find the change in the…

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Q: A hydrogen atom in an n= 2, I= 1, m =-l state emits a photon when it decays to an n= 1, 1= 0, ml-D0…

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Q: Find the possible angles between the z axis and the direction of the spin angular-momentum vector S.

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: An electron in the hydrogen atom makes a transition from an energy state of principal quantum number…

A: Given: An electron in the hydrogen atom makes a transition from an energy state of principal quantum…

Q: For a hydrogen atom, the transition to a state of excitation energy (10.19 eV) emits a photon of…

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Q: An n = 2 shell (L shell) has a 2s state and two 2p states split by the spin-orbit interaction.…

A: We know that  n = 2 shell (L shell) has a 2s state and two 2p states split by the spin-orbit…

Q: What is the expectation value of the kinetic energy (E) of the electron in the 1s state of the…

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Q: What is the probability of the electron in the 1s state of the hydrogen atom being at a radius…

A: Probability of finding the electron in 1 s state of the hydrogen atom having radius greater than the…

Q: Suppose the ionization energy of an atom is 4.100 eV. In this same atom, we observe emission lines…

A: Formula to calculate the different energy level is,

Q: A hydrogen atom in an n=2, I=1, m1 = -1 state emits a photon when it decays to an n=1 I=0, mI=0…

A: Given: Photon is emitted from hydrogen atom n=2, l=1, ml=-1 and decays to n=1, l=0, ml=0 ground…

Q: what is the shortest wavelength of light that can be emitted by a hydrogen atom with initial…

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Q: rogen atom requires that if the principal quantum number is 6, there will be how many different…

A: Given- Principal quantum number(n) of the shell = 6

Q: An electron is in the n = 4 orbit of an hydrogen atom. It returns to the ground state with emission…

A: Given- Rydberg constant is R = 1.097 x 107 m-1 ni=1nf=4 h=6.64×10-34 Js

Q: A hydrogen atom initially in its ground level absorbs a photon, which excites the atom to the n = 3…

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Q: In a hydrogen atom, the small magnetic moment of the proton interacts with the magnetic moment of…

A: The wavelength is, E=hcλ⇒λ=hcE