कारण देते हुए, बताइए की निम्नलिखित क्वांटम संख्या के कौन से मान संभव 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):}`
(ड) `{:(n=3",",l=3",",m_(l)=-3",",m_(s)=+1//2):}`
(च) `{:(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. {:((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):}

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 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) .

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

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

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

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):}