Atomic Structure Question 184

Question: The electrons, identified by quantum numbers $ n $ and $ l $ (i) n = 4, $ l $ = 1, (ii) n = 4, $ l $ = 0, (iii) n = 3, $ l $ = 2, and (iv) n =3, $ l $ = 1 can be placed in order of increasing energy, from the lowest to highest, as

Options:

A) (iv) < (ii) < (iii) < (i)

B) (ii) < (iv) < (i) < (iii)

C) (i) < (iii) < (ii) < (iv)

D) (iii) < (i) < (iv) < (ii)

Show Answer

Answer:

Correct Answer: A

Solution:

  • The two guiding rules to arrange the various orbitals in the increasing energy are:
    (i) Energy of an orbital increases with increase in the value of n+1
    (ii) of orbitals having the same value of n+1, the orbital with lower value of n has lower energy.
    Thus for the given orbitals, we have
    (i) n+1=4+1=5 (ii) n+1=4+0=4
    (iii) n+1=3+2=5
    (iv) n+1=3+1=4

Hence, the order of increasing energy is (iv) < (ii) < (iii) < (i)



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