Verified Solution • 2025–26 Session moderate

QJEEM21Cha763: JEE Main 2021 Chemistry - Class 11 JEEM21Cha763 Solution: The number of orbitals with n = 5, m 1 = +2 is ___________.…

The number of orbitals with n = 5, m₁ = +2 is ___________. (Round off to the Nearest Integer).

Step-by-Step Verified Solution

Given, n = 5, m_l = + 2

For n = 5, possible value of l = 0, 1, 2, 3, 4

For l = 0, m_l = 0

l = 1, m_l = $-$ 1, 0, 1

l = 2, m_l = $-$ 2, $-$ 1, 0, 1, 2

l = 3, m_l = $-$ 3, $-$ 2, $-$ 1, 0, 1, 2, 3

l = 4, m_l = $-$ 4, $-$ 3, $-$ 2, $-$ 1, 0, 1, 2, 3, 4

Possible value of m_l for a given value of l

= 0, $\pm$ 1, $\pm$ 2, $\pm$ 3 ..... $\pm$ l

So, number of orbitals having n = 5 and m_l = $\pm$ 2 are 3.