EASY

Earn 100

Explain radial probability density for $1 s$ and $2 s$ orbital.

Important Questions on Atomic Structure

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The orbital with

4

radial and

1

angular nodes is

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

A certain orbital has

n = 4

and

m_{l} = - 3 .

The number of radial nodes in this orbital is _______. (Round off to the Nearest Integer).

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

An orbital with one angular node shows three maxima in its radial probability distribution curve, the orbital is

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of radial nodes, angular nodes of a

4 f -

orbital are respectively

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of angular nodes and radial nodes in

3 s

orbital are

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The correct order of total number of node of atomic orbitals is _______

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

A certain orbital has no angular nodes and two radial nodes. The orbital is:

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of radial and angular nodes in

4 d

orbital are, respectively

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of regions, where the probability density of electrons is reduced to zero for

3 s

atomic orbital is

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

How many of the following orbitals have two angular and one radial nodes?

$3 d; 4 d; 5 f; 3 p$

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of atomic orbitals from the following having

5

radial nodes is

7 s, 7 p, 6 s, 8 p, 8 d

HARD

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The wave function,

ψ_{n, l, m_{l}}

is a mathematical function whose value depends upon spherical polar coordinates

(r, θ, ϕ)

of the electron and characterized by the quantum numbers

n, l

and

m_{l}

. Here

r

is the distance from the nucleus,

θ

is colatitude and

ϕ

is azimuth. In the mathematical functions given in the Table,

Z

is the atomic number and

a_{o}

is Bohr radius

Column 1	Column 2	Column 3
(I) $1 s$ orbital	(i) $ψ_{n, l, m_{l}} \propto {(\frac{Z}{a_{o}})}^{\frac{3}{2}} e^{- (\frac{Zr}{e_{o}})}$	(P)
(II) $2 s$ orbital	(ii) One radial node	(Q) Probability density at the nucleus $\propto \frac{1}{a_{o}^{3}}$ .
(III) $2 p_{z}$ orbital	(iii) $ψ_{n, l, m_{l}} \propto {(\frac{Z}{a_{o}})}^{\frac{5}{2}} {re}^{- (\frac{Zr}{2 a_{o}})} \cos θ$	(R) Probability density is maximum at the nucleus.
(IV) $3 d_{z}^{2}$ orbital	(iv) $xy$ -plane is a nodal plane	(S) Energy needed to excite an electron from $n = 2$ state to $n = 4$ state is $\frac{27}{32}$ times the energy needed to excite are electron from $n = 2$ state to $n = 6$ state.

For

{He}^{+}

ion, the only incorrect combination

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

Write down the electronic configuration of

{Co}^{2 +}

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The orbital having two radial as well as two angular nodes is:

HARD

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The ground state energy of hydrogen atom is

- 13.6 e V

. Consider an electronic state

Ψ

{H e}^{+}

whose energy, azimuthal quantum number and magnetic quantum number are

- 3.4 e V, 2

and

0

respectively. Which of the following statement(s) is(are) true for the state

Ψ

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

For a 4p orbital, the number of radial and angular nodes, respectively, are

HARD

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

For

3s

-orbital:

ψ_{3 s} = \frac{1}{9 \sqrt{3}} {(\frac{1}{a_{0}})}^{3 / 2} (6 - 6 σ + σ^{2}) e^{\frac{- σ}{Z}}

Where,

σ = \frac{2 rZ}{3 a_{0}}

What is the maximum distance of the radial node from the nucleus?

EASY

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of radial and angular nodes in the

5 f

orbital are

MEDIUM

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The number of spherical nodes in 3p orbitals are

HARD

Chemistry>Physical Chemistry>Atomic Structure>Quantum Mechanical Model of the Atom

The hydrogen-like species

{Li}^{2 +}

is in a spherically symmetric state

S_{1}

with one radial node. Upon absorbing light, the ion undergoes a transition to the state

S_{2}

. The state

S_{2}

has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
The state

S_{1}

is:

Explain radial probability density for 1s and 2s orbital.

Important Questions on Atomic Structure

Learn and Prepare for any exam you want !

Explain radial probability density for $1 s$ and $2 s$ orbital.