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 nodes present in $3 p$ -orbitals are

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Important Questions on Structure of Atom

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

The orbital with

4

radial and

1

angular nodes is

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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 radial nodes, angular nodes of a

4 f -

orbital are respectively

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The number of angular nodes and radial nodes in

3 s

orbital are

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

At temperature

T

, the average kinetic energy of any particle is

\frac{3}{2} kT

. The de Broglie wavelength follows the order:

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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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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>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

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Two electrons occupying the same orbital are distinguished by:

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

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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.

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The angular momentum of electron in

d

-orbital is equal to

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

(Z = 37)

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

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

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

The nodes present in 3p-orbitals are

Important Questions on Structure of Atom

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The nodes present in $3 p$ -orbitals are