Question

For which one of the following sets of four quantum numbers, an
electron will have the heighst energy?
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(a) 3 2 1 1/2
(b) 4 2 –1 1/2
(c) 4 1 0 –1/2
(d) 5 0 0 –1/2

Answer 1

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Answer 2

(b) 4 2 –1 1/2

Explanation:

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The energy of a shell is determined by the value of n + l (Principal Quantum Number + Azimuthal Quantum Number).

Hence we get:

(a) n+l =3+2 =5

(b) n+l = 4+2 = 6

(c) n+l = 4+1 = 5

(d) n+l = 5+0 = 5

So we find that (b) has the highest energy.

Option B is the answer.