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To decrease the cut-off wavelength of continuous $X$ -ray by $25 %$ , the potential difference across the $X$ -ray tube

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Important Questions on Structure of Atoms and Nuclei

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The ratio of wavelengths of the last line of the Balmer series and the last line of the Lyman series is_____.

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

Electrons of mass,

m

with de-Broglie wavelength,

λ

fall on the target in an X-ray tube. The cutoff wavelength,

(λ_{0})

of the emitted X-ray is

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

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:

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

H e^{+}

ion is in its first excited state. Its ionization energy is:

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

An electron beam is accelerated by a potential difference

V

to hit a metallic target to produce

X -

rays. It produces continuous as well as characteristic

X -

rays. If

λ_{m i n}

is the smallest possible wavelength of

X -

ray in the spectrum, the variation of

\log (λ_{m i n})

with

\log (V)

is correctly represented in :

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

An electron from various excited states of hydrogen atom emit radiation to come to the ground state. Let

λ_{n}, λ_{g}

be the de Broglie wavelength of the electron in the

n^{t h}

state and the ground state respectively. Let

\land_{n}

be the wavelength of the emitted photon in the transition from the

n^{t h}

state to the ground state. For large n, (A, B are constants)

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

In the spectrum of hydrogen, the ratio of the longest wavelength in the Lyman series to the longest wavelength in the Balmer series is:

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

12 eV

energy is given to electron in third orbit of

H

-atom, then final energy of electron when it ionise from third orbit, is

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

How are the characteristic x-rays spectrum formed?

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The waves emitted when a metal target is bombarded with high energy electrons are

MEDIUM

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The energy required to ionise a hydrogen like ion in its ground state is

9

Rydbergs. What is the wavelength of the radiation emitted when the electron in this ion jumps from the second excited state to the ground state?

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

Wavelength of characteristic X-ray depends on which property of target?

(where, A = Mass number, Z = Atomic number)

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The shortest wavelength of Paschen series in hydrogen spectrum is

8182 \overset{\circ}{A}

. The first member of the Paschen series is nearly

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

If the series limit frequency of the Lyman series is

V_{L},

then the series limit frequency of the Pfund series is:

MEDIUM

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The total energy of an electron in the

n^{th}

stationary orbit of the hydrogen atom can be obtained by

HARD

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

In hydrogen spectrum,

L_{α}

line arises due to transition of electron from the orbit

n = 3

to the orbit

n = 2

. In the spectrum of singly ionized helium, there is a line having the same wavelength as that of the

L_{α}

line of hydrogen. This is due to the transition of the electron from the orbit ______ to ________

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

The series corresponding to lowest wavelength transition in

H

- atom.

HARD

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

Consider a hydrogen-like ionized atom with atomic number

Z

with a single electron. In the emission spectrum of this atom, the photon emitted in the

n = 2 t o n = 1

transition has energy

74.8 eV

higher than the photon emitted in the

n = 3 t o n = 2

transition. Given that the ionization energy of the hydrogen atom is

13.6 eV

, what is the value of

Z

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Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

In an

X

-ray tube, electrons emitted from a filament (cathode) carrying current

I

hit a target (anode) at a distance

d

from the cathode. The target is kept at a potential

V

higher than the cathode resulting in emission of continuous and characteristic X-rays. If the filament current

I

is decreased to

\frac{I}{2},

the potential difference

V

is increased to

2 V,

and the separation distance

d

is reduced to

\frac{d}{2},

then

EASY

Physics>Modern Physics>Structure of Atoms and Nuclei>Hydrogen Spectrum

An X-ray tube is operated at

1.24

million volt. The shortest wavelength of the produced photon will be:

To decrease the cut-off wavelength of continuous X -ray by 25%, the potential difference across the X-ray tube

Important Questions on Structure of Atoms and Nuclei

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To decrease the cut-off wavelength of continuous $X$ -ray by $25 %$ , the potential difference across the $X$ -ray tube