New chat PYQ Library Doubts Rank report

Sign in to see Recents

Your guest activity stays on this device

Sign in to save progress →

Structure of Atom question

2020 · 7 Jan · Shift 1 · Q5

Guest · filters and generic practice availableBrowsing as a guest · PYQ filters and generic practice are available. Sign in only for personalised features and saved progress.

PYQ Library
JEE Main
Chemistry
Structure of Atom
2020 · 7 Jan · Shift 1 · Q5

Structure of Atom question

2020 · 7 Jan · Shift 1 · Q5

JEE MainChemistryStructure of AtomMCQ+4 / −1

The number of orbitals associated with quantum number n = 5, ms = +

{1 \over 2}

is :

A
11
B
25
C
15
D
50

View written solutionFree

Correct answer: B

For a given principal quantum number $n=5$ , the allowed values of azimuthal quantum number are $l=0,1,2,3,4$
For each $l$ , the number of orbitals is given by $2l+1$ So total number of orbitals in the shell $n=5$ is $\sum_{l=0}^{4}(2l+1)=1+3+5+7+9=25$
The magnetic spin quantum number $m_s=+\frac{1}{2}$ specifies the spin of an electron, not the orbital itself. Orbitals are determined by $n$ , $l$ , and $m_l$ only.

Hence, the number of orbitals associated with $n=5$ remains $25$

Therefore, the correct option is: $\boxed{25}$ which is option $\boxed{B}$ .
Comparison with stored answer: The stored correct answer is $B$ , which matches our derived answer.

More from Structure of Atom

For the Balmer series in the spectrum of H atom, $\overline{u} = R_{H} {\frac{1}{n _{1}^{2}} - \frac{1}{n _{2}^{2}}}$ , the correct statements among (I) to (IV) are : (I) As wavelength decreases, the lines in the series converge…2020 · MCQ
Hydrogen has three isotopes (A), (B) and (C). If the number of neutron(s) in (A), (B) and (C) respectively, are (x), (y) and (z), the sum of (x), (y) an (z) is :2020 · MCQ
The radius of the second Bohr orbit, in terms of the Bohr radius, a0, in $L i^{2 +}$ is :2020 · MCQ
The de Broglie wavelength of an electron in the 4th Bohr orbit is :2020 · MCQ
The quantum number of four electrons are given below : n = 4, l = 2, ml =–2, ms = –1/2 n = 3, l = 2, ml = 1, ms = +1/2 n = 4, l = 1, ml = 0, ms = +1/2 n = 3, l = 1, ml = 1, ms = –1/2 The correct order of their increasing enegies will be :2019 · MCQ
If p is the momentum of the fastest electron ejected from a metal surface after the irradiation of light having wavelength $λ$ , then for 1.5 p momentum of the photoelectron, the wavelength of the light should be: (Assume kinetic…2019 · MCQ
For any given series of spectral lines of atomic hydrogen, let $Δ v_=$ $Δ \overline{v}_{m a x} - Δ \overline{v}_{m i n}$ be the difference in maximum and minimum frequencies in cm–1. The ratio Lyman…2019 · MCQ
Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect ? (The Bohr radius is represented by a0)2019 · MCQ