The correct option is B 16, 32
For nth orbital possible values of azimuthal quantum number (subshell), l are from 0 to (n-1). Total of 'n' values.
In n=4, l=0,1,2,3 thus there are 4 subshells i.e.s,p,d,f respectively.
Magnetic quantum number ml have values from -l to +l and total of 2l+1 values.
For n=4, possible values of l and ml are:
ml=0 for l=0; total ml values =1
ml=−1,0,1 for l=1; total ml values =3
ml=−2,−1,0,1,2 for l=2; total ml values =5
ml=−3,−2,−1,0,1,2,3 for l=3; total ml values =7
Total number of orbitals = total values of ml
for n=4,
∴1+3+5+7=16 orbitals
Each orbital can occupy maximum of two electron
Number of electrons =2×16=32
Therefore in n=4, number of subshells=4, orbitals=16 and number of electrons =32.
As an expert in quantum mechanics and atomic structure, I can confidently affirm the accuracy of the information provided in the article titled "Solution Verified by Toppr." The article delves into the quantum numbers associated with electron orbitals, specifically focusing on the azimuthal quantum number (l), magnetic quantum number (ml), and their implications for the arrangement of electrons in the nth orbital.
The article correctly highlights that for the nth orbital, the possible values of the azimuthal quantum number (l) range from 0 to (n-1), resulting in a total of 'n' values. In the case of n=4, the values of l are 0, 1, 2, and 3, corresponding to the subshells s, p, d, and f, respectively. This demonstrates a profound understanding of the quantization of angular momentum in quantum mechanics.
Furthermore, the article accurately describes the magnetic quantum number (ml), noting that it can take values from -l to +l, with a total of 2l+1 possible values. For n=4, the article meticulously provides the values of ml for each subshell (l=0, l=1, l=2, and l=3), showcasing an in-depth knowledge of the quantum mechanical principles governing electron behavior.
The calculation of the total number of orbitals for n=4 by summing up the values of ml (1+3+5+7) is a clear demonstration of the expert's proficiency in quantum mechanics. This step is crucial in understanding the distribution of electrons within the orbitals.
The conclusion that each orbital can accommodate a maximum of two electrons and, consequently, the total number of electrons for n=4 is calculated as 2×16=32 reflects a thorough grasp of the Pauli Exclusion Principle and the rules governing electron configuration.
In summary, the information presented in the article is well-grounded in the principles of quantum mechanics, showcasing a depth of knowledge and a meticulous understanding of the quantum numbers and their implications for electron arrangement in atomic orbitals.
FAQs
Therefore in n=4, number of subshells=4, orbitals=16 and number of electrons =32.
How many orbitals are in n=4? ›
Thus, we find a total of 16 orbitals in the n = 4 shell of an atom.
How many orbitals and electrons are associated with N4? ›
Hence for a shell of principal quantum number n=4 there are 16 orbitals ,4 subshells, 32 electrons(maximum) and 14 electrons with l=3.
How many electrons are held in n 4? ›
Answer and Explanation:
The n=4 shell can hold a total of 32 electrons. We determine this based on the number of sublevels in the shell and the number of orbitals in each sublevel. The n=4 shell has four sublevels labeled s, p, d, and f. The s sublevel has one orbital while p has three, d has five, and f has seven.
How many orbitals in total are associated with 4th? ›
Hence, the total number of atomic orbitals in fourth energy level of an atom is 16.
How many orbitals and electrons are associated with n=5? ›
For n=5, the possible shells are s, p, d, f, and g with 1, 3, 5, 7, 9 orbitals, respectively. As such, there are 25 orbitals. For n=5, there are 25 orbitals.
How many orbitals and electrons are associated with n 3? ›
The third shell has 3 subshells: the subshell 3s, which has 1 orbital with 2 electrons, the subshell 3p, which has 3 orbitals with 6 electrons, and the subshell 3d, which has 5 orbitals with 10 electrons, for a total of 9 orbitals and 18 electrons.
What is the total number of orbitals having n 4 and 2? ›
Answer and Explanation:
The number of orbitals having the quantum numbers, n = 4 and l = 2 is five.
When n=4 and l=3, the orbital is? ›
-For n = 4, l = 3; this is 4f orbital.
Why does n 4 have 32 electrons? ›
The fourth and higher levels also have an f sublevel, containing seven f orbitals, which can hold a maximum of 14 electrons. Thus, the fourth level can hold up to 32 electrons: 2 in the s orbital, 6 in the three p orbitals, 10 in the five d orbitals, and 14 in the seven f orbitals.
Therefore, a total of 4 subshells are possible when n=4: the s, p, d and f subshells.
How many sublevels are there with n 4 in an atom? ›
Level 4 has 4 sublevels - s, p, d, and f. These are pictured below. The sublevels contain orbitals.
How many Subshells are there in the shell with N 4? ›
Answer: There are 4 subshells: 4s, 4p, 4d, and 4f. When the question asks you about how many subshells there are in a certain shell, what it basically is asking is how many different values of l there are. So if n=4, l can only be 0,1,2,3, which corresponds to s,p,d,f.
What is the maximum number of electrons that can be accommodated in n 4? ›
The maximum number of electrons that can be accommodated in the 4th energy is 32.
How does n 4 have 16 orbitals? ›
that means azimuthal quantum number can have the values 0 (s subshell), 1 (p subshell), 2 (d subshell), and 3 ( f subshell). s, p, d, f orbitals have 1, 3, 5 and 7 orbitals respectively. So total number of subshells= 1+3+5+7= 16.
How does nitrogen have 4 orbitals? ›
The nitrogen has an electronic configuration 1s2 2s2 2p3, therefore it could be expected to make 3 covalent bonds accommodating 3 electrons in orbitals p. However, there is less repulsion of the electron domains when the 2s orbital hybridizes with the p orbitals to form 4 sp3 orbitals.
How many sublevels does n 4 have? ›
Level 4 has 4 sublevels - s, p, d, and f. These are pictured below. The sublevels contain orbitals.
