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Standard X

Chemistry

Bohr's Model of Atom

Which of the ...

Question

Which of the following statements are true regarding Bohr's model of hydrogen atom?
$(I)$ Orbititing speed of electron decreases as it shifts to descrete orbits away from the nucleus
$(I I)$ Radii of allowed orbits of electron are proportional to the principal quantum number
$(I I I)$ Frequency with which electrons orbit around the nucleus in discrete orbits is inversely proportional to the cube of principal quantum number
$(I V)$ Binding force with which the electron is bound to the nucleus increases as it shifts to outer orbits
Select correct answer using the codes given below.
Codes:

I

and

I I I

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I I

and

I V

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I

I I

and

I I I

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I I

I I I

and

I V

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Solution

The correct option is C $I$ and $I I I$
From the attached concepts:
$v \propto \frac{1}{n}$
$r \propto n^{2}$
$ν \propto \frac{1}{n^{3}}$
$E \propto \frac{1}{n^{2}}$
Only (1) and (3) are correct.

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Similar questions

Q. Using postulates of Bohr's theory of hydrogen atom, show that
(i) Radii of orbits increases as

n^{2}

and
(ii) The total energy of electron increases as

\frac{1}{n^{2}}

, where

n

is the principal quantum number of the atom.

Q. According to the quantum mechanics, correct statements concerning the electron in the hydrogen atom include which of the following?

I

. It moves in a definite orbit around the nucleus.

I I

. It is associated with definite energy levels.

I I I

. It occupies a fixed position in space with reference to the nucleus

Q. 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

vs various azimuthal quantum numbers, show peak shifting towards a higher value.

Q. Consider the Bohr's model of a one-electron atom where the electron moves around the nucleus. In the following, List-I contains some quantities for the

n^{t h}

orbit of the atom and List-II contains options showing how they depend on n.

\begin{matrix} List-I & List-II (I) & Radius of the n^{t h} orbit & (P) & \propto n^{- 2} (II) & Angular momentum of the electron in the n^{t h} orbit & (Q) & \propto n^{- 1} (III) & Kinetic energy of the electron in the n^{t h} orbit & (R) & \propto n^{0} (IV) & Potential energy of the electron in the n^{t h} orbit & (S) & \infty n^{1} (T) & \propto n^{2} (U) & \propto n^{\frac{1}{2}} \end{matrix}

Which of the following options has the correct combination considering List-I and List-II ?

B

has a smaller first ionization enthalpy than

B e

. Consider the following statements:
(i) It is easier to remove

2 p

electron than

2 s

electron
(ii)

2 p

electron of

B

is more shielded from the nucleus by the inner core of electrons than the

2 s

electron of

B e

(iii)

2 s

electron has more penetration power than

2 p

electron
(iv) Atomic radius of

B

is more than

B e

(Atomic number

B

=5,

B e

=4) The correct statements are:

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The correct option is C I and IIIFrom the attached concepts:v∝1nr∝n2ν∝1n3E∝1n2Only (1) and (3) are correct.

The correct option is C $I$ and $I I I$
From the attached concepts:
$v \propto \frac{1}{n}$
$r \propto n^{2}$
$ν \propto \frac{1}{n^{3}}$
$E \propto \frac{1}{n^{2}}$
Only (1) and (3) are correct.