2) Which of the following sets of quantum numbers is allowed? a. n=2, { = 1, m, = +1/2, ms=-1/2 b. n= 3, { = 2, m =+1, m, = +1 c. n= 4, { = 1,, — 0, т,—-1/2 me d. n=4, { = 3, =-1, m, = 0 %3D е. п%3D5, %3D2, = +2, ms=-1

Chemistry
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Chapter1: Chemical Foundations
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**Question 2:** Which of the following sets of quantum numbers is allowed?

a. \( n = 2, \, \ell = 1, \, m_{\ell} = +1/2, \, m_s = -1/2 \)

b. \( n = 3, \, \ell = 2, \, m_{\ell} = +1, \, m_s = +1 \)

c. \( n = 4, \, \ell = 1, \, m_{\ell} = 0, \, m_s = -1/2 \)

d. \( n = 4, \, \ell = 3, \, m_{\ell} = -1, \, m_s = 0 \)

e. \( n = 5, \, \ell = 2, \, m_{\ell} = +2, \, m_s = -1 \)
Transcribed Image Text:**Question 2:** Which of the following sets of quantum numbers is allowed? a. \( n = 2, \, \ell = 1, \, m_{\ell} = +1/2, \, m_s = -1/2 \) b. \( n = 3, \, \ell = 2, \, m_{\ell} = +1, \, m_s = +1 \) c. \( n = 4, \, \ell = 1, \, m_{\ell} = 0, \, m_s = -1/2 \) d. \( n = 4, \, \ell = 3, \, m_{\ell} = -1, \, m_s = 0 \) e. \( n = 5, \, \ell = 2, \, m_{\ell} = +2, \, m_s = -1 \)
Expert Solution
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According to quantum mechanics, there are four types of quantum numbers. The electrons are filled in atomic orbitals. The details of atomic orbital can be got by the following four quantum numbers:

  1. Principal quantum number(n): It defines the number of shells in an atom. The energy and size of the orbital depend on the principal quantum number. Its values are 1,2,3,4...etc.
  2. Azimuthal quantum number(l) or angular momentum quantum number(l): It defines the number of subshells in a particular shell. The shape of the orbital depends on the angular momentum quantum number. Its values are 0 to (n-1).

for l = 0 the subshell is = s

for l = 1 the subshell is = p

for l = 2 the subshell is = d

for l = 3 the subshell is = f

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