Atomic Structure Questions | Chemistry JEE Main Important Questions

Q 1 :

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

3
2
1
4

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4

(3)

Number of radial nodes = $n - l - 1$ .

For 3p orbital, $n = 3, l = 1$

Number of radial nodes = 3 - 1 - 1 = 1

Q 2 :

Which one of the following about an electron occupying the $1 s$ 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 $2 a_{0}$ from the nucleus.
The $1 s$ orbital is spherically symmetrical.
The total energy of the electron is maximum when it is at a distance $a_{0}$ from the nucleus.

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(4)

$| ψ |^{2} \to max at r = 0 (nucleus)$

$| ψ |^{2} \neq 0 at any point$

$E = - 13.6 \frac{Z^{2}}{n^{2}}, E_{max} = 0 at n = \infty$

Q 3 :

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

$Ψ_{2 s} = \frac{1}{2 \sqrt{2 π}} {(\frac{1}{a_{0}})}^{1 / 2} (2 - \frac{r}{a_{0}}) e^{- r / 2 a_{0}}$

At $r = r_{0}$ , radial node is formed. Thus, $r_{0}$ in terms of $a_{0}$ . [2023]

$r_{0} = \frac{a_{0}}{2}$
$r_{0} = 2 a_{0}$
$r_{0} = 4 a_{0}$
$r_{0} = a_{0}$

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(2)

At node $Ψ_{2 s^{2}} = 0, Ψ_{2 s} = 0$

So, $(2 - \frac{r}{a_{0}}) = 0$

$2 - \frac{r_{0}}{a_{0}} = 0 \Rightarrow r_{0} = 2 a_{0}$

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

(4)

Q 5 :

Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1? [2026]

D
A
B
C

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(3)

$At spherical node$

$ψ_{r} = 0$

Q 6 :

Which of the following orbital has two radial nodes?

2s
4s
4f
5d

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(4)

Conceptual

Q 7 :

Which of the following statement(s) is/are true?

A. If two orbitals have the same value of $(n + l)$ , the orbital with lower value of $n$ will have lower energy.

B. Energies of the orbitals in the same subshell increase with increase in atomic number.

C. The size of $2 p_{x}$ orbital is less than the size of $3 p_{x}$ orbital.

D. Among $5 f, 6 s, 4 d, 5 p$ and $5 d$ orbitals, none of the orbitals have 2 radial nodes.

Choose the correct answer from the options given below: [2026]

A, B and C only
A and C only
C and D only
A only

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(2)

A. True statement.

B. $E = - 13.6 \frac{Z^{2}}{n^{2}} e V$ . From this expression, if Z increases, E becomes more negative i.e. it decreases.

C. $r = 0.529 \frac{n^{2}}{Z} Å$ . For $2 p_{x}, n = 2$ and for $3 p_{x}, n = 3$ . Thus size of $2 p_{x}$ orbital is lesser than that of $3 p_{x}$ orbital.

D.

Orbital	$5 f$	$6 s$	$4 d$	$5 p$	$5 d$
$Radial nodes (n - l - 1)$	$n - l - 1$ $= 5 - 3 - 1 = 1$	$n - l - 1$ $= 6 - 0 - 1 = 5$	$n - l - 1$ $= 4 - 2 - 1 = 1$	$n - l - 1$ $= 5 - 1 - 1 = 3$	$n - l - 1$ $= 5 - 2 - 1 = 2$

Q 8 :

Match the List – I with List – II.

List – I List – II

(Orbital) (Radial nodes and nodal plane)

A. 2s I. 1 Radial node + two orbital planes

B. 3s II. 1 Radial node + one nodal plane

C. 3p III. 2 Radial nodes + No nodal plane

D. 4d IV. 1 Radial node + No nodal plane

Choose the correct answer from the options given below: [2026]

A-IV, B-I, C-III, D-II
A-IV, B-II, C-III, D-I
A-III, B-I, C-IV, D-II
A-IV, B-III, C-II, D-I

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$S . No .$	$Orbital$	$\begin{matrix} Radial nodes \\ (n - l - 1) \end{matrix}$	$Angular nodes (l) or nodal planes$
A	$2 s$	$n - l - 1 = 2 - 0 - 1 = 1$	$0$
B	$3 s$	$n - l - 1 = 3 - 0 - 1 = 2$	$0$
C	$3 p$	$n - l - 1 = 3 - 1 - 1 = 1$	$1$
D	$4 d$	$n - l - 1 = 4 - 2 - 1 = 1$	$2$

Topic Question Set

Q 1 :

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

Q 2 :

Which one of the following about an electron occupying the $1 s$ orbital in a hydrogen atom is incorrect? (Bohr’s radius is represented by $a_{0}$ ) [2025]

Q 3 :

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

$Ψ_{2 s} = \frac{1}{2 \sqrt{2 π}} {(\frac{1}{a_{0}})}^{1 / 2} (2 - \frac{r}{a_{0}}) e^{- r / 2 a_{0}}$

At $r = r_{0}$ , radial node is formed. Thus, $r_{0}$ in terms of $a_{0}$ . [2023]

Q 5 :

Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1? [2026]

Q 6 :

Which of the following orbital has two radial nodes?

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	List – I		List – II
	(Orbital)		(Radial nodes and nodal plane)
A.	2s	I.	1 Radial node + two orbital planes
B.	3s	II.	1 Radial node + one nodal plane
C.	3p	III.	2 Radial nodes + No nodal plane
D.	4d	IV.	1 Radial node + No nodal plane

Topic Question Set

Q 1 : The number of radial node/s for 3p orbital is: [2024]

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 a0) [2025]

Q 3 : The wave function (Ψ) of 2s is given by Ψ2s=122π(1a0)1/2(2-ra0)e-r/2a0 At r=r0, radial node is formed. Thus, r0 in terms of a0. [2023]

Q 5 : Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1? [2026]

Q 6 : Which of the following orbital has two radial nodes?

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Q 1 :

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

Q 2 :

Which one of the following about an electron occupying the $1 s$ orbital in a hydrogen atom is incorrect? (Bohr’s radius is represented by $a_{0}$ ) [2025]

Q 3 :

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

$Ψ_{2 s} = \frac{1}{2 \sqrt{2 π}} {(\frac{1}{a_{0}})}^{1 / 2} (2 - \frac{r}{a_{0}}) e^{- r / 2 a_{0}}$

At $r = r_{0}$ , radial node is formed. Thus, $r_{0}$ in terms of $a_{0}$ . [2023]

Q 5 :

Which of the following point in Figure 2 most accurately represents the nodal surface as shown in Figure 1? [2026]

Q 6 :

Which of the following orbital has two radial nodes?