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How many electrons in an atom have the following quantum numbers?

n = 4,  s = -1/2

  • a)
    32

  • b)
    18

  • c)
    8

  • d)
    16

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
How many electrons in an atom have the following quantum numbers?n = 4...
Explanation:

Quantum numbers:
- The principal quantum number (n) determines the main energy level or shell of an electron.
- The spin quantum number (s) determines the spin of an electron, with values of +1/2 or -1/2.

Given quantum numbers:
- n = 4 (fourth energy level)
- s = -1/2 (spin of the electron)

Calculation:
- For a given energy level (n), the maximum number of electrons that can be accommodated is given by 2n^2.
- For n = 4, the maximum number of electrons = 2 * 4^2 = 32.

Answer:
- The number of electrons with the given quantum numbers (n = 4, s = -1/2) is 16.
- Therefore, option 'D' (16) is the correct answer.
Free Test
Community Answer
How many electrons in an atom have the following quantum numbers?n = 4...
n = 4

l = 0, 1 , 2 , 3

ml = 0, (-1, 0, +1), (-2, -1, 0, +1, +2), (-3, -2, -1, 0, +1, +2, +3)



Total number of electrons with ms = - 1/2 will be 16. 
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