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`

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

From the following sets of quantum numbers , state which are possible ? (i) n=0,l=0,m_(l)=1,m_(s)= +1//2 (ii) n=2,l=1,m_(l)=0,m_(s) = -1//2 (iii) n=2, l=0,m_(1)=3,m_(s) = +1//2 (iv) n=3,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 quantum number state which are possible. Explain why the other are not permitted ? a. n = 0, l = 0, m= 0, s = + 1//2 b. n = 1, l = 0, m= 0, s = - 1//2 c. n = 1, l = 1, m= 0, s = + 1//2 d. n = 1, l = 0, m= +1, s = + 1//2 e. n = 0, l = 1, m= -1, s = - 1//2 f. n = 2, l = 2, m= 0, s = - 1//2 g. n = 2, l = 1, m= 0, s = - 1//2

State which of the following sets of quantum number would be possible and which would not be permisible for an electron in an atom. (i) n=3,I=3,m_(l)=+3, m_(s)=+(1)/(2) (ii) n=3,I=3,m_(l)=+1, m_(s)=-(1)/(2) (iii) n=5,I=4,m_(l)=+3, m_(s)=(1) (iv) n=0,I=0,m_(l)=0, m_(s)=+(1)/(2) (v) n=4,I=3,m_(l)=-2, 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):}

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

Explain given reasons, which of the following sets of quantum numbers are not possible. {:((a) n = 0 ",", l = 0",", m_l=0",", m_s = + 1//2),((b) n = 1 ",", l = 0",", m_l=0",", m_s = - 1//2),((c) n = 1 ",", l = 1",", m_l=-0",", m_s = + 1//2),((d) n = 2 ",", l = 1",", m_l=0",", m_s = - 1//2),((e) n = 3 ",", l = 3",", m_l=-3",", m_s = + 1//2),((f) n = 3 ",", l = 2",", m_l=0",", m_s = + 1//2):}