कारण देते हुए बताइए कि निम्नलिखित क्वांटम संख्या के कौन-से मान सम्भव नहीं है?
`{:("(क)",n=0,l=0,m_(l)=0,m_(s)=+(1)/(2)),("(ख)",n=1,l=0,m_(l)=0,m_(s)=-(1)/(2)),("(ग)",n=1,l=1,m_(l)=0,m_(s)=+(1)/(2)),("(घ)",n=2,l=1,m_(l)=0,m_(s)=-(1)/(2)),("(ड़)",n=3,l=3,m_(l)=-3,m_(s)=+(1)/(2)),("(च)",n=3,l=1,m_(l)=0,m_(s)=+(1)/(2)):}`

Explain giving 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=1,m_(l)=0,m_(s)=+(1)/(2)

Explain, given reasons, which of the following sets of quantum numbers are not possible. (1) n=0,l=0,m_(l)=0,m_(S)+(1)/(2) (2) n=1,l=0,m_(l)=0,m_(S)=-(1)/(2) (3) n=1,l=1,m_(l)=0,m_(S)=+(1)/(2) (4) n=2, l=1, m_(1)=0,m_(S)=-(1)/(2) (5) n=3, l=3, m_(l)=-3,m_(S)=+(1)/(2) (6) n=4, l=1, m_(l)=0,m_(S)=+(1)/(2) .

Explain giving reasons which of the following sets of quantum number 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 = 1, m_(l) = 0, m_(s) l = + (1)/(2)

Explain giving 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=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):}

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 = 1, 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 electrons are given below. Arrange them in order of increasing energies. Do any of these combination have same energy. {:(1.,n=4,l=2,m_(l) = -2,m_(s)=-1//2,),(2.,n=3,l=2,m_(l) = 1,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,):}

The quantum numbers of six electrons are give below. Arrange them in order of increasing energies. List if any of these combination(s) has/have the same energy: (1) n=4,l=2, m_(l)=2,m_(S)=-(1)/(2) (2) n=3,l=2,m_(l)=1,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)=-1,m_(S)=+(1)/(2) .