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The amount of energy emitted if electron falls from $n = 3$ to $n = 2$ , in hydrogen atom is

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Important Questions on Structure of Atom

HARD

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

Energy of an electron is given by

E = - 2.178 \times 1 0^{- 18} (\frac{Z^{2}}{n^{2}}) J

. Wavelength of light required to excite an electron in a hydrogen atom from level n=1 to n=2 will be :

(h = 6.62 \times 10^{- 34} J s a n d c = 3.0 \times 10^{8} m s^{- 1})

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The ground state energy of a hydrogen atom is

- 13 .6 eV

. The energy of second excited state of

{He}^{+}

ion in

eV

is:

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

If the de Broglie wavelength of the electron in

n^{t h}

Bohr orbit in a hydrogenic atom is equal to

1.5 π a_{0}

(a_{0}

is Bohr radius

)

, then the value of

\frac{n}{z}

is:

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The radius of the second Bohr orbit for hydrogen atom is

(Planck's constant,

(h) = 6 .6262 \times 10^{- 34} Js;

mass of electron

= 9 .1091 \times 10^{- 31} kg;

charge of electron

= 1 .60210 \times 10^{- 19} C;

permittivity of vacuum,

(\in_{0}) = 8 .854185 \times 10^{- 12} {kg}^{- 1} m^{- 3} A^{2}

)

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

What would be the wavelength of the spectral line in Balmer series of the spectrum, having the longest wavelength? Given

R_{H} = 109677 {cm}^{- 1}

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

Which of the following statements is false?

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

A particle of mass

m

moves in a circular orbit in a central potential field

U (r) = \frac{1}{2} k r^{2} .

If Bohr's quantization conditions are applied, radii of possible orbitals and energy levels vary with quantum number

n

as:

HARD

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

A neutron moving with a speed 'v' makes a head on collision with a stationary hydrogen atom in ground state. The minimum kinetic energy of the neutron for which perfactly inelastic collision will take place is :

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

In the atomic spectrum of

H

, lines were observed at

\frac{5}{36} R, \frac{3}{16} R, \frac{21}{100} R and \frac{2}{9} R

(

R =

Rydberg constant). It belongs to....... series

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

For emission line of atomic hydrogen from

n_{i} = 8

n_{f} = n,

the plot of wave number

(\bar{v})

against

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

will be: (The Rydberg constant,

R_{H}

is in wave number unit)

EASY

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The electron in the hydrogen atom undergoes transition from higher orbitals to orbital of radius

211.6 pm

. This transition is associated with

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

If the wavelength of an electronic transition in

{He}^{+}

23 nm

, the wavelength corresponding to same transition in hydrogen atom in

nm

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The energy of an electron in first Bohr's orbit of H atom is

- 13.6 eV .

The energy value of electron in the first excited state of

{Li}^{2+}

is :

EASY

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

Both the nucleus and the atom of some element are in their respective first excited states. They get de-excited by emitting photons of wavelengths

λ_{N}, λ_{A}

respectively. The ratio

\frac{λ_{N}}{λ_{A}}

is closest to:

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The ionization energy of gaseous $Na$ atoms is $495.5 kJ {mol}^{- 1}$ . The lowest possible frequency of light that ionizes a sodium atom is

$(h = 6.626 \times 1 0^{- 34} Js, N_{A} = 6.022 \times 1 0^{23} {mol}^{-1})$

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

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

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	$(S)$ $\propto n^{1}$
	$(T)$ $\propto n^{2}$
	$(U)$ $\propto n^{1 / 2}$

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

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

The radius of the second Bohr orbit, in terms of the Bohr radius,

a_{0},

{Li}^{2 +}

is:

EASY

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

Which of the following is the energy of a possible excited state of hydrogen?

EASY

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

With increasing Principal Quantum number, the energy difference between adjacent energy levels in H-atom

MEDIUM

Chemistry>Physical Chemistry>Structure of Atom>Bohr's Model for the Hydrogen Atom

For the Balmer series, in the spectrum of

H

atom,

\bar{v} = R_{H} \{\frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}}\},

the correct statements among

(I)

(I V)

are,

(I)

As wavelength decreases, the lines in the series converge.

(I I)

The integer

n_{1}

is equal to

2

(I I I)

The lines of the longest wavelength correspond to

n_{2} = 3

(I V)

The ionization energy of hydrogen can be calculated from the wave number of these lines.

The amount of energy emitted if electron falls from n=3 to n=2 , in hydrogen atom is

Important Questions on Structure of Atom

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The amount of energy emitted if electron falls from $n = 3$ to $n = 2$ , in hydrogen atom is