EASY

Earn 100

The number of radial and angular nodes in 5f orbital are

50% studentsanswered this correctly

Important Questions on Structure of Atom

MEDIUM

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

The electrons are more likely to be found:
Question Image

EASY

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

The quantum number of four electrons are given below:

I . n = 4, l = 2, m_{l} = - 2, m_{s} = - 1 / 2

I I . n = 3, l = 2, m_{l} = 1, m_{s} = + 1 / 2

I I I . n = 4, l = 1, m_{l} = 0, m_{s} = + 1 / 2

I V . n = 3, l = 1, m_{l} = 1, m_{s} = - 1 / 2

The correct order of their increasing energies will be:

HARD

Chemistry>Physical Chemistry>Structure of Atom>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

MEDIUM

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

Which of the following combination of statements is true regarding the interpretation of the atomic orbitals?

(A)

An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angular momentum.

(B)

For a given value of the principal quantum number, the size of the orbit is inversely proportional to the azimuthal quantum number.

(C)

According to wave mechanics, the ground state angular momentum is equal to

\frac{h}{2 π}

(D)

The plot of

ψ

r

for various azimuthal quantum numbers, shows peak shifting towards higher

r

value.

MEDIUM

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

Which one of the following statements is wrong?

EASY

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

Among the following, the energy of

2 s

orbital is lowest in:

MEDIUM

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

4 d, 5 p, 5 f

and

6 p

orbitals are arranged in the order of decreasing energy. The correct option is:

EASY

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

The number of subshells associated with

n = 4

and

m = - 2

quantum numbers is:

HARD

Chemistry>Physical Chemistry>Structure of Atom>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 distance from nucleus,

θ

is colatitude and

ϕ

is azimuth. In the mathematical functions given in the Table, Z is 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 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 nucleus
(IV) $3 d_{z}^{2}$ orbital	(iv) $x y$ -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 electron from $n = 2$ state to $n = 6$ state.

For hydrogen atom, what is the only CORRECT combination?

HARD

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

Two electrons occupying the same orbital are distinguished by:

MEDIUM

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

The correct set of four quantum numbers for the valence electrons of rubidium atom

(Z = 37)

EASY

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

What is the maximum number of orbitals that can be identified with the following quantum number

n = 3, l = 1, m = 0

EASY

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

Which is the correct order of increasing energy of the listed orbitals in the atom of titanium?

(At. No. Z =

22

)

MEDIUM

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

The number of orbitals associated with quantum numbers

n = 5, m_{s} = + \frac{1}{2}

is:

MEDIUM

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

In a homonuclear molecule, which of the following set of orbitals is degenerated?

MEDIUM

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

Which of the following is an incorrect set of quantum members?

HARD

Chemistry>Physical Chemistry>Structure of Atom>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 the given orbital in column 1, the only correct combination for any hydrogen-like species is

MEDIUM

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

Which of the following pairs of

d -

orbitals will have the electron density along the axis?

MEDIUM

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

If the principal quantum number

n = 6,

the correct sequence of filling of electrons will be:

The number of radial and angular nodes in 5f orbital are

Important Questions on Structure of Atom

Learn and Prepare for any exam you want !