At temperature T , the average kinetic energy of any particle is 3 2 kT . The de Broglie wavelength follows the order:

Visible photon > thermal electron > thermal neutron.

Thermal neutron > visible photon > thermal electron.

Thermal neutron > thermal electron > visible photon.

Visible photon > thermal neutron > thermal electron.

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The number of radial nodes, angular nodes of a $4 f -$ orbital are respectively

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Important Questions on Atomic Structure

EASY

Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

The orbital with

4

radial and

1

angular nodes is

EASY

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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).

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

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The number of atomic orbitals from the following having

5

radial nodes is

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

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The number of angular nodes and radial nodes in

3 s

orbital are

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Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

The number of radial and angular nodes in

4 d

orbital are, respectively

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

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The electrons are more likely to be found:
Question Image

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

3 s

atomic orbital is

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

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

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At temperature

T

, the average kinetic energy of any particle is

\frac{3}{2} kT

. The de Broglie wavelength follows the order:

HARD

Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

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

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C_{60}

emerging from a source at a speed (v) has a de Broglie wavelength of

11.0 Å

. The value of v (in m

s^{- 1}

) is closest to

[Planck's constant

h = 6.626 \times 10^{- 34} J s

]

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

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A stream of electrons from a heat filament was passed between two charge plates kept at a potential difference

V esu

. If

e

and

m

are charge and mass of an electron, respectively, then the value of

\frac{h}{λ}

(where

λ

is wavelength associated with the electron wave) is given by:

EASY

Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

The graph between

{|ψ|}^{2}

and

r

(radical distance) is shown below. This represents:
Question Image

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Which one of the following about an electron occupying the 1s orbital in a hydrogen atom is incorrect? (The Bohr radius is represented by

a_{0}

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Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

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

HARD

Chemistry>Physical Chemistry>Atomic Structure>Orbitals and Quantum Numbers

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>Orbitals and Quantum Numbers

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

The number of radial nodes, angular nodes of a 4f- orbital are respectively

Important Questions on Atomic Structure

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The number of radial nodes, angular nodes of a $4 f -$ orbital are respectively