Question

The total number of maxima in the radial probability distribution curve of 2s is

• A. One
• B. Two
• C. Six
• D. Four

Answer 1

Answer: (B)

Two

Answer 2

For a 2s orbital, n=2 and l=0. The number of radial nodes is n-l-1 = 2-0-1 = 1. The total number of maxima in the radial probability distribution curve is equal to the number of radial nodes plus one, which is 1+1 = 2.

Concept: The number of maxima in the radial probability distribution curve for an orbital is related to the number of radial nodes.

Formula for Radial Nodes: The number of radial nodes for an orbital is given by $n - l - 1$, where $n$ is the principal quantum number and $l$ is the azimuthal (or angular momentum) quantum number.

Relationship between Maxima and Nodes: The total number of maxima in the radial probability distribution curve is equal to the number of radial nodes plus one. This can also be stated as $n - l$.