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Standard XII

Chemistry

Features of MOT

Which among t...

Question

Which among the following statements is/are correct for Hydrogen atom?

For all orbitals, the radial wave function

(ψ)

approaches to zero as r approaches infinity

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The radial probability density

(ψ^{2})

for '1s' orbital is maximum at nucleus.

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The radial distribution function

(4 π x^{2} ψ^{2})

for '1s' is maximum at nucleus.

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In plot of radial wave function

(ψ)

changes its sign at nodes.

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Solution

The correct options are
A For all orbitals, the radial wave function $(ψ)$ approaches to zero as r approaches infinity
D In plot of radial wave function $(ψ)$ changes its sign at nodes.

Suggest Corrections

Similar questions

Q. Which among the following statements is/are correct?

ψ^{2}

represents the atomic orbitals

b) The number of peaks in radial probability distribution is

(n - 1)

c) Radial probability density

P_{n i} (r) = 4 π r^{2} R_{n i}^{2} (r)

d) A node is a point in space where the wave function

(Ψ)

has zero amplitude

Q. The radial probability distribution curve obtained for an orbital wave function

(Ψ)

has

3

peaks and

2

radial nodes. The valence electron of which one of the following metals does this wave function

(Ψ)

correspond to?

Q. State significance of

Ψ

and

Ψ^{2}

. Draw radial probability density and radial probability distribution curves for

1 s, 2 s, 2 p, 3 s, 3 p, 3 d, 4 s, 4 p

Q. For

1 s

orbital of Hydrogen atom radial wave function is given as:

R (r) = \frac{1}{\sqrt{π}} {(\frac{1}{a_{0}})}^{3 / 2} e^{- r / a_{0}}

where

a_{0} = 0.529 A \circ)

The ratio of radial probability density of finding electron at

r = a_{o}

to the radial probability density of finding electron at the nucleus is given as (x.e

^{- y}

). Calculate the value of (x + y)

Q. The wave function

(ψ)

2 s

-orbitals given by:

ψ_{2 s} = \frac{1}{\sqrt{32 π}} {[\frac{1}{a_{0}}]}^{3 / 2} [2 - \frac{r}{a_{0}}] e^{- r / 2 a_{0}}

r = r_{0}

,radial node is formed.If

r_{0}

x a_{0}

, find the value of

x

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Which among the following statements is/are correct for Hydrogen atom?

The correct options are A For all orbitals, the radial wave function (ψ) approaches to zero as r approaches infinity D In plot of radial wave function (ψ) changes its sign at nodes.

The correct options are
A For all orbitals, the radial wave function $(ψ)$ approaches to zero as r approaches infinity
D In plot of radial wave function $(ψ)$ changes its sign at nodes.