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The number of nodal planes in $5 d$ orbital is .

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Important Questions on Structure of Atom

EASY

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

Two electrons occupying the same orbital are distinguished by:

EASY

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

The angular momentum of electron in

d

-orbital is equal to

MEDIUM

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

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

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

EASY

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

The number of angular nodes and radial nodes in

3 s

orbital are

EASY

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

The orbital with

4

radial and

1

angular nodes is

EASY

Chemistry>Physical Chemistry>Structure of Atom>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>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.

EASY

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

The number of radial and angular nodes in

4 d

orbital are, respectively

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.