Question Details

The number of radial nodes, nodal planes for an orbital with n = 4; l = 1 is;

Options

A

3, 1

B

2, 1

C

2, 0

D

4, 0

Show Answer

Correct Answer :

Option B

2, 1

2, 1

Solution :

To find the number of radial nodes and angular (nodal plane) nodes for an atomic orbital we use the quantum numbers given:

n=4, l=1

The total number of nodes in an orbital is the principal quantum number minus one:

n-1

These nodes are split into radial nodes and angular nodes. The radial nodes are given by the formula

R=n-l-1

Substituting the values:

R=4-1-1=2

Thus the orbital has **2 radial nodes**.

The angular nodes are directly equal to the azimuthal quantum number:

A=l

So

A=1

This means there is **1 nodal plane** (angular node).

Therefore, for an orbital with n=4 and l=1, the numbers are:

2, 1

i.e., 2 radial nodes and 1 nodal plane.

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