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Standard XII

Chemistry

Orbital Diagrams

Which of the ...

Question

Which of the following sets of quantum numbers are not possible and why? 1) n=3 , l=2 , ml=0 ,ms = +1/2 2) n=3 , l=1,ml=-2 , ms =-1/2 3) n=2 , l=0,ml=0,ms= +1/2

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Q. Arrange the electrons represented by the following sets of quantum numbers in decreasing order of energy.
(i)

n = 4, l = 0, m_{l} = 0, m_{s} = + \frac{1}{2}

(ii)

n = 3, l = 1, m_{l} = 1, m_{s} = - \frac{1}{2}

(iii)

n = 3, l = 2, m_{l} = 0, m_{s} = + \frac{1}{2}

(iv)

n = 3, l = 0, m_{l} = 0, m_{s} = - \frac{1}{2}

Q. Explain giving reasons which of the following sets of quantum numbers 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 = 2

l = 3

m_{1} = - 3

m_{s} = + 1 / 2

(f)

n = 3

l = 1

m_{1} = 0

m_{s} = + 1 / 2

Q. The quantum number of four electrons are given below:
I.

n = 4, l = 2, m_{l} = - 2, m_{s} = - 1 / 2

II.

n = 3, l = 2, m_{l} = 1, m_{s} = + 1 / 2

III.

n = 4, l = 1, m_{l} = 0, m_{s} = + 1 / 2

IV.

n = 3, l = 1, m_{l} = 1, m_{s} = - 1 / 2

The correct order of their increasing energies will be:

Explain, giving reasons, which of the following sets of quantum numbers are not possible.
a) n = 0 l = 0 ml = 0 $m, = + \frac{1}{2}$
b) n = 1 l = 0 ml = 0 $m, = - \frac{1}{2}$
c) n = 1 l = 1 ml = 0 $m, = + \frac{1}{2}$
d) n = 2 l = 1 ml = 0 $m, = - \frac{1}{2}$
e) n = 3 l = 3 ml = – 3 $m, = + \frac{1}{2}$
f) n = 3 l = 1 ml = 0 $m, = + \frac{1}{2}$

Question 18

Out of the following pairs of electrons, identify the pairs of electrons present in degenerate orbitals.

(a) (i) $n = 3, l = 2, m_{l} = - 2, m_{s} = - \frac{1}{2}$ (ii) $n = 3, l = 2, m_{l} = - 1, m_{s} = - \frac{1}{2}$

(b) (i) $n = 3, l = 1, m_{l} = 1, m_{s} = + \frac{1}{2}$ (ii) $n = 3, l = 2, m_{l} = - 1, m_{s} = + \frac{1}{2}$

(d) (i) $n = 3, l = 2, m_{l} = + 2, m_{s} = - \frac{1}{2}$ (ii) $n = 3, l = 2, m_{l} = + 2, m_{s} = + \frac{1}{2}$

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