Structure of Atom

The quantum numbers of four electrons are given below

I. \(n=4 ; l=2 ; m_l=-2 ; s=-\frac{1}{2}\)
II. \(n=3 ; l=2 ; m_l=1 ; s=+\frac{1}{2}\)
III. \(n=4 ; l=1 ; m_l=0 ; s=+\frac{1}{2}\)
IV. \(n=3 ; l=1 ; m_l=-1 ; s=+\frac{1}{2}\)

The correct decreasing order of energy of these electrons is

[Re-NEET 2024]

Given below are two statements

Statement I: The Balmer spectral line for H-atom with lowest energy is located at \(\frac{5}{36} R _{ H } cm ^{-1}\). \(\left( R _{ H }=\right.\) Rydberg constant \()\)
Statement II: When the temperature of blackbody increases, the maxima of the curve (intensity Vs wavelength) shifts to shorter wavelength.

In the light of the above statements, choose the correct answer from the options given below

Energy and radius of first Bohr orbit of \({\mathrm{He}}^{+}\mathrm{and}{\mathrm{Li}}^{2+}\)are

[NEET 2025]

The energy of an electron in the ground state (n = 1) for \({\mathrm{He}}^{+}\) ion is \(-\mathrm{x}\) Joules then that for an electron in n = 2 state for \({\mathrm{Be}}^{3+}\)ion in Joule is

The quantum numbers of four electrons are given below

I. \(n=4 ; l=2 ; m_l=-2 ; s=-\frac{1}{2}\)
II. \(n=3 ; l=2 ; m_l=1 ; s=+\frac{1}{2}\)
III. \(n=4 ; l=1 ; m_l=0 ; s=+\frac{1}{2}\)
IV. \(n=3 ; l=1 ; m_l=-1 ; s=+\frac{1}{2}\)

The correct decreasing order of energy of these electrons is

[Re-NEET 2024]

Match List-I with List-II.

What is the maximum wavelength line in the Lyman series of \({\mathrm{He}}^{+}\) ion?

A particular station of All India Radio, New Delhi, broadcasts on a frequency of \( 1,368 \mathrm{~kHz} \) (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is: [speed of light, \( \mathrm{c}=3.0 \times 10^{8} \mathrm{~ms}^{-1} \) ]

The number of protons, neutrons and electrons in \( { }_{71}^{175} \mathrm{Lu} \), respectively, are

[NEET 2020]

According to Bohrs atomic theory

(I) Kinetic energy of electron is \( \propto \frac{\mathrm{Z}^{2}}{\mathrm{n}^{2}} \).

(II) The product of velocity (v) of electron and principal quantum number \( (\mathrm{n}) \), \( v n \) \( \propto Z^{2} \).

(III) Frequency of revolution of electron in an orbit is \( \propto \frac{Z^{3}}{n^{3}} \).

(IV) Coulombic force of attraction on the electron is \( \propto \frac{Z^{3}}{n^{4}} \).

Choose the most appropriate answer the from the options given below

Select the correct statements from the following
A. Atoms of all elements are composed of two fundamental particles.
B. The mass of the electron is \(9.10939 \times 10^{-31} \mathrm{~kg}\).
C. All the isotopes of a given elements show same chemical properties.
D. Protons and electrons are collectively known as nucleons.
E. Dalton's atomic theory, regarded the atom as an ultimate particle of matter.

Choose the correct answer from the options given below

Calculate the wavelength (in nanometer) associated with a proton
moving at \(1.0\times {10}^{3}{\mathrm{ms}}^{-1}\)
.
(Mass of proton =\(1.67\times {10}^{-27}\mathrm{kg}\mathrm{and}\mathrm{h}=6.63\times {10}^{-34}\mathrm{Js}\))

Given below are two statements:

Statement-I: Bohr's theory accounts for the stability and line spectrum of \(\mathrm{Li}^{+}\) ion.

Statement-II: Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.

In the light of the above statements, choose the most appropriate answer from the options given below:

Select the correct statements from the following
A. Atoms of all elements are composed of two fundamental particles.
B. The mass of the electron is \(9.10939 \times 10^{-31} \mathrm{~kg}\).
C. All the isotopes of a given elements show same chemical properties.
D. Protons and electrons are collectively known as nucleons.
E. Dalton's atomic theory, regarded the atom as an ultimate particle of matter.

Choose the correct answer from the options given below

[NEET 2023]

The relation between \(n_m,\left(n_m=\right.\) the number of permissible values of magnetic quantum number (m)) for a given value of azimuthal quantum number \((l)\), is

[NEET 2023]

Given below are two statements

Statement I: The Balmer spectral line for H-atom with lowest energy is located at \(\frac{5}{36} R _{ H } cm ^{-1}\). \(\left( R _{ H }=\right.\) Rydberg constant \()\)
Statement II: When the temperature of blackbody increases, the maxima of the curve (intensity Vs wavelength) shifts to shorter wavelength.

In the light of the above statements, choose the correct answer from the options given below

[Re-NEET 2024]

The Bohr orbit radius for the hydrogen atom (n = 1) is approximately 0.530Å. The radius for the first excited state (n = 2) orbit is (in Å):

A particular station of All India Radio, New Delhi, broadcasts on a frequency of \( 1,368 \mathrm{~kHz} \) (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is: [speed of light, \( \mathrm{c}=3.0 \times 10^{8} \mathrm{~ms}^{-1} \) ]

[NEET 2021]