Q 1 :

The number of radial node/s for 3p orbital is:             [2024]

• 3

   

• 2

   

• 1

   

• 4

   

Q 2 :

Which one of the following about an electron occupying the $1s$ orbital in a hydrogen atom is incorrect? (Bohr’s radius is represented by $a_0$)           [2025]

• The probability density of finding the electron is maximum at the nucleus.

   

• The electron can be found at a distance $2a_0$ from the nucleus.

   

• The $1s$ orbital is spherically symmetrical.

   

• The total energy of the electron is maximum when it is at a distance $a_0$ from the nucleus.

   

Q 3 :

The wave function ($\Psi$) of 2s is given by

${\Psi }_{2s}=\frac{1}{2\sqrt{2\pi }}{\left(\frac{{\displaystyle 1}}{{\displaystyle a_0}}\right)}^{1/2}(2-\frac{{\displaystyle r}}{{\displaystyle a_0}})e^{-r/2a_0}$

At $r=r_0$, radial node is formed. Thus, $r_0$ in terms of $a_0$.                         [2023]

• $r_0=\frac{a_0}{2}$

   

• $r_0=2a_0$

   

• $r_0=4a_0$

   

• $r_0=a_0$

   

Q 4 :

The number of correct statements from the following is __________.              [2023]

(A) For 1s orbital, the probability density is maximum at the nucleus

(B) For 2s orbital, the probability density first increases to maximum and then decreases sharply to zero.

(C) Boundary surface diagrams of the orbitals encloses a region of 100% probability of finding the electron.

(D) p and d-orbitals have 1 and 2 angular nodes respectively

(E) Probability density of p-orbital is zero at the nucleus