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The quantum number of electrons are give...

The quantum number of electrons are given below: Arrange them in order of increasing energies
a.`n= 4,l= 2,m_(l)= -2, m_(s)= -(1)/(2)`
b.`n= 3,l= 2,m_(l) = 1, m_(s)= +(1)/(2)`
c.`n= 4,l= 1,m_(l) = 0, m_(s)= +(1)/(2)`
`d.n= 3,l= 2,m_(l)= -2, m_(s)= -(1)/(2)`
`e.n=3,l=1,m=-1,m_(s)= +(1)/(2)`
f.`n= 4,l= 1,m_(l) = +1, m_(s)= +(1)/(2)`

Text Solution

Verified by Experts

The orbitals occupied by the electrons are
a. `4d, b. 3d, c. 4p, d. 3d`,
e. `3p, f. 4p`
There energies will be in the order
`(e) lt (b)=(d) lt (f)=(c ) lt (a)`
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The quantum number of electrons are given below: Arrange then in order of increasing energies a. n= 4,l= 2,m_(1)= -2, m_(s)= -(1)/(2) b. n= 3,l= 2,m_(1) = 1, m_(s)= +(1)/(2) c. n= 4,l= 1,m_(1) = 0, m_(s)= +(1)/(2) e.n= 3,l= 2,m_(1)= -2, m_(s)= +(1)/(2) f. n= 4,l= 1,m_(1) = +1, m_(s)= +(1)/(2)

The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists: 1. n=4 , l=2 , m_(i) =-2, m_(s) =-1//2 2. n=3 , l=2 , m_(l) =1 , m_(s) =+1//2 3. n=4 , l=2 ,m_(l)=-2, m_(s) =-1//2 4. n=3 , l= 2, m_(i) =-1 , m_(s) = +1//2 5. n=3 , l=1 , m_(l) =-1 , m_(s) = +1//2 6. n=4 , l= 1 , m_(l) =0 , m_(s) =+1//2

Explain , giving reason , which of the following sets of quantum number are not possible {:(a,n= 0 ,l = 0, m_(1) = 0, m_(s) = +1//2),(b,n= 1 ,l = 0, m_(1) = 0, m_(s) = -1//2),(c,n= 1 ,l = 0, m_(1) = 0, m_(s) = +1//2),(d,n= 2 ,l = 1, m_(1) = 0, m_(s) = -1//2),(e,n= 3 ,l = 3, m_(1) = -3, m_(s) = +1//2),(f,n= 3 ,l = 1, m_(1) = 0, m_(s) = +1//2):}

The quantum numbers of six elements are given below. Arrange them in order of increasing energies. If any of these combinations has/have the same energies, list them. {:((1) n = 4 ",", l = 2",", m_l=-2",", m_s = - 1/2),((2) n = 3 ",", l = 2",", m_l=0",", m_s = + 1/2),((3) n = 4 ",", l = 1",", m_l= 0",", m_s = + 1/2),((4) n = 3 ",", l = 2",", m_l=-2",", m_s = - 1/2),((5) n = 3 ",", l = 1",", m_l=-1",", m_s = + 1/2),((6) n = 4 ",", l = 1",", m_l=0",", m_s = + 1/2):}

Which of the following sate of quantum numbers is not permissible for an electron in an atom? (i) n = 1,l = 1, m_(l) 0, m_(s) =+ 1//2 (ii) n = 3, l = 1, m_(1) =- 2, m_(s) =- 1//2 (iii) n =1, l = 1, m_(l) = 0, m_(s) =+ 1//2 (iv) n = 2, l = 0, m_(l) = 0, m_(s) = 1

From the following sets of quantum numbers, state which are possible. Explain why the others are not possible. (i) n=0, l=0, m_(l)=0, m_(s)=+1//2 " " (ii) n=1, l=0, m_(l)=0, m_(s)=-1//2 (iii) n=1, l=1, m_(l)=0, m_(s)= +1//2 " " (iv) n=1, l=0, m_(l)=+1, m_(s)=+1//2 (v) n=3, l=3, m_(l)=-3, m_(s)=+1//2 " " (vi) n=3, l=1, m_(l)=0, m_(s)=+1//2

Arrange the electrons represented by the following sets of quantum numbers in decreasing order of energy. (i) n=4, l=0, m_(l)=0, s=+1//2 , (ii) n=3, l=1, m_(l)=1, s=-1//2 (iii) n=3, l=2, m_(l)=0, s=+1//2 , (iv) n=3, l=0, m_(l)=0, s=-1//2

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