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JEE Main 20207 JanuaryMorning Shift

Exam: JEE Main
Year: 2020
Date: 7 January
Shift: Morning Shift
Subject: Chemistry
Chapter: Structure of Atom

JEE Main 2020 · 7 January · Morning Shift · Chemistry · Structure of Atom

The number of orbitals associated with quantum numbers n = 5, m _ s...

The number of orbitals associated with quantum numbers

n = 5, {m}_{s} = + \dfrac{1}{2}

is:

Options

A $11$
B $25$
C $50$
D $15$

Correct answer

B. $25$

Step-by-step solution

For

\text{n=5}

~

\text{5s,}\text{5p,}\text{5d,}\text{5f}

and

5\text{g}

and subshell is available

In ~

5\text{s} \to 1\text{orbital}

5\text{p} \to 3\text{orbital}

\text{5d} \to \text{5 orbital}

\text{5f} \to \text{7}\text{orbital}

5\text{g} \to \text{9}\text{orbital}

In each subshell 1 electron of every orbital will belong to

{m}_{5} = + \dfrac{1}{2}

So, Total number of orbitals that will be associate with~

{m}_{5} = + \dfrac{1}{2}

~ will be

1 + 3 + 5 + 7 + 9 = 25

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