1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Jobisdone [24]
3 years ago
14

A second important result is that electrons will fill the lowest energy states available. This would seem to indicate that every

electron in an atom should be in the n=1 state. This is not the case, because of Pauli's exclusion principle. The exclusion principle says that no two electrons can occupy the same state. A state is completely characterized by the four numbers n, l, ml, and ms, where ms is the spin of the electron. An important question is, How many states are possible for a given set of quantum numbers? For instance, n=1 means that l=0 with ml=0 are the only possible values for those variables. Thus, there are two possible states: (1, 0, 0, 1/2) and (1, 0, 0, −1/2). How many states are possible for n=2? Express your answer as an integer.
Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:

  • 8

Explanation:

1)<u> Principal quantum number, n = 2</u>

  • n is the principal quantum number and indicates the main energy level.

<u>2) Second quantum number, ℓ</u>

  • The second quantum number, ℓ,  is named, Azimuthal quantum number.

The possible values of ℓ are from 0 to n - 1.

Hence, since n = 2, there are two possible values for ℓ: 0, and 1.

This gives you two shapes for the orbitals: 0 corresponds to "s" orbitals, and 1 corresponds to "p" orbitals.

<u>3) Third quantum number, mℓ</u>

  •    The third quantum number, mℓ, is named magnetic quantum number.

The possible values for mℓ are from - ℓ to + ℓ.

Hence, the poosible values for mℓ when n = 2 are:

  • for ℓ = 0: mℓ = 0
  • for ℓ = 1, mℓ = -1, 0, or +1.

<u>4) Fourth quantum number, ms.</u>

  • This is the spin number and it can be either +1/2  or -1/2.

Therfore the full set of possible states (different quantum number for a given atom) for n = 2 is:

  • (2, 0, 0 +1/2)
  • (2, 0, 0, -1/2)
  • (2, 1, - 1, + 1/2)
  • (2, 1, -1, -1/2)
  • (2, 1, 0, +1/2)
  • (2, 1, 0, -1/2)
  • (2, 1, 1, +1/2)
  • (2, 1, 1, -1/2)

That is a total of <u>8 different possible states</u>, which is the answer for the question.

You might be interested in
Find the critical point for f and then use the second derivative test to decide whether the critical point is a relative maximum
anygoal [31]

Answer:the answer is 9

Step-by-step explanation:

7 0
3 years ago
How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
Zarrin [17]

By first principles, the derivative is

\displaystyle\lim_{h\to0}\frac{(x+h)^n-x^n}h

Use the binomial theorem to expand the numerator:

(x+h)^n=\displaystyle\sum_{i=0}^n\binom nix^{n-i}h^i=\binom n0x^n+\binom n1x^{n-1}h+\cdots+\binom nnh^n

(x+h)^n=x^n+nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n

where

\dbinom nk=\dfrac{n!}{k!(n-k)!}

The first term is eliminated, and the limit is

\displaystyle\lim_{h\to0}\frac{nx^{n-1}h+\dfrac{n(n-1)}2x^{n-2}h^2+\cdots+nxh^{n-1}+h^n}h

A power of h in every term of the numerator cancels with h in the denominator:

\displaystyle\lim_{h\to0}\left(nx^{n-1}+\dfrac{n(n-1)}2x^{n-2}h+\cdots+nxh^{n-2}+h^{n-1}\right)

Finally, each term containing h approaches 0 as h\to0, and the derivative is

y=x^n\implies y'=nx^{n-1}

4 0
3 years ago
I’ll mark brainliest for anyone who answers.
mash [69]

Answer:

Step-by-step explanation:

You have the right answer

5 0
3 years ago
Read 2 more answers
The _____ function is the most basic function in a family of functions.
grandymaker [24]

Answer:

Parent function

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the volume of the cone, using 3.14 for π<br> Radius= 10<br> Height= 6
Zigmanuir [339]

Answer:

V≈628.32

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • The function C(x) = 600x – 0.3x2 represents total costs for a company to produce a product, where C is the total cost in dollars
    15·1 answer
  • Compare rational numbers what is bigger 4.9 vs 4.6
    13·1 answer
  • Lnes made9 necklaces with 60 beads on each necklaces. How many beads did she use in all
    7·1 answer
  • Steve is collecting toy cars. He already has 100 of them! 42 of them are new, 19 are his favorites; 3 are new and a favorite. St
    15·1 answer
  • A worker at a clothing company uses 200 buttons to make 50 shirts.At this rate, how many buttons would the worker use to make 35
    8·1 answer
  • I WILL GIVE THE BRAINLIST V2
    13·2 answers
  • Determine the slope from the two points given: (1,1) and (3,11)
    9·1 answer
  • You can use a calculator
    14·2 answers
  • Help please!!!!!!!!!!!!!!!!!!!!!!
    10·1 answer
  • Examine the diagram. It is not drawn to scale.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!