Question

Statement - 1: The number of radial nodes in $3s$ and $4p$ orbitals are not equal.

Statement - 2: The number of radial nodes in $3s$ and $4p$ orbitals depend on $‘n^{\prime }$ and $‘l^{\prime }$ which are different for $3s$ and $4p$ orbital.

• A. Statement-1 is True, Statement-2 is True, Statement-2 is the correct explanation for Statement-1.
• B. Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1.
• C. Statement-1 is True, Statement-2 is False.
• D. Statement-1 is False, Statement-2 is True

Answer 1

The correct option is D Statement-1 is False, Statement-2 is True

Number of radial nodes in any orbital is $(n-l-1)$.
Where, $n\text{and}l$ are the Principal and the Azimuthal quantum numbers respectively.
Thus, they depend upon both the values of $‘n^{\prime }$ and $‘l^{\prime }$.
For $3s$, $n-l-1=3-0-1=2$ and for $4p$, $n-l-1=4-1-1=2$. Thus, number of radial nodes in $3s$ and $4p$ are equal.