The ??pin-only??magnetic moment [in units of Bohr magneton,$\left(\mu_{\beta}\right)$ ] of $Ni^{2+}$ in aqueous solution would be (Atomic number of Ni = 28):
- 2.84
- 4.9
- 0
- 1.73
The Correct Option is A
Approach Solution - 1
Approach Solution -2
Ans. The strength and direction of a magnet or any other item that generates a magnetic field are referred to as the magnetic moment. It may alternatively be described as an object's magnetic dipole moment. The magnetic dipole moment may be used to gauge a magnetic dipole's propensity to line up with the surrounding magnetic field. Examples of things with magnetic moments include permanent magnets, electromagnets, certain molecules, electrons, and celestial bodies like planets and stars. When it comes to electrons, their innate features of spin and electric charge are what create the magnetic moment.
A vector quantity is a magnetic moment. A magnet's magnetic moment travels from its south pole to its north pole. A magnet creates a magnetic field that is directly proportional to the magnetic moment.
A substance that may repel or attract other substances is referred to as a "magnetic material." The arrangement of electrons, also known as the magnetic moment of the material, determines whether these materials are attracted to or repel one another. The magnetic dipole moment of an object is a measure of the torque experienced by it in the presence of a magnetic field.
The magnetic moment can be generated by two ways:
- The motion of electric charge
- Spin angular momentum
Top Questions on Bohr’s Model for Hydrogen Atom
- Match List I with List II.Choose the correct answer from the options given below:
List I
(Spectral Lines of Hydrogen for transitions from)List II
(Wavelength (nm))A. n2 = 3 to n1 = 2 I. 410.2 B. n2 = 4 to n1 = 2 II. 434.1 C. n2 = 5 to n1 = 2 III. 656.3 D. n2 = 6 to n1 = 2 IV. 486.1 - NEET (UG) - 2024
- Physics
- Bohr’s Model for Hydrogen Atom
- For hydrogen atom, energy of an electron in first excited state is $-3.4 \, \text{eV}$, K.E. of the same electron of hydrogen atom is $x \, \text{eV}$.Value of $x$ is ____ $\times 10^{-1} \, \text{eV}$. (Nearest integer)
- JEE Main - 2024
- Chemistry
- Bohr’s Model for Hydrogen Atom
- In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at 10.2 V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is _____ nm.
(Given $hc = 1245 \, \text{eV nm}, \, e = 1.6 \times 10^{-19} \, \text{C}$).- JEE Main - 2024
- Physics
- Bohr’s Model for Hydrogen Atom
- According to Bohr's theory, the moment of momentum of an electron revolving in the 4th orbit of a hydrogen atom is:
- JEE Main - 2024
- Physics
- Bohr’s Model for Hydrogen Atom
- The spin-orbit interaction in a hydrogen-like atom is given by the Hamiltonian \( H' = -k \vec{L} \cdot \vec{S} \), where \( k \) is a real constant. The splitting between levels \( ^2P_{3/2} \) and \( ^2P_{1/2} \) due to this interaction is _______.
- GATE PH - 2024
- Atomic and Molecular Physics
- Bohr’s Model for Hydrogen Atom
Questions Asked in AIEEE exam
- This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. It is not possible to make a sphere of capacity $1$ farad using a conducting material. It is possible for earth as its radius is $6.4 \times 10^6\,m$.
- AIEEE - 2012
- electrostatic potential and capacitance
- A steel wire can sustain $100\, kg$ weight without breaking. If the wire is cut into two equal parts, each part can sustain a weight of
- AIEEE - 2012
- mechanical properties of solids
- The limiting line in Balmer series will have a frequency of (Rydberg constant, $R_{\infty}=3.29\times10^{15}$ cycles/s)
- AIEEE - 2012
- Electromagnetic Spectrum
- Which of the plots shown in the figure represents speed (v) of the electron in a hydrogen atom as a function of the principal quantum number (n)?
- The ratio of number of oxygen atoms (O) in 16.0 g ozone $(O_3), \,28.0\, g$ carbon monoxide $(CO)$ and $16.0$ oxygen $(O_2)$ is (Atomic mass: $C = 12,0 = 16$ and Avogadro?? constant $N_A = 6.0 x 10^{23}\, mol^{-1}$)
- AIEEE - 2012
- Mole concept and Molar Masses
Concepts Used:
Bohr's Model of Hydrogen Atom
Niels Bohr introduced the atomic Hydrogen model in 1913. He described it as a positively charged nucleus, comprised of protons and neutrons, surrounded by a negatively charged electron cloud. In the model, electrons orbit the nucleus in atomic shells. The atom is held together by electrostatic forces between the positive nucleus and negative surroundings.
Read More: Bohr's Model of Hydrogen Atom
Bohr's Theory of Hydrogen Atom and Hydrogen-like Atoms
A hydrogen-like atom consists of a tiny positively-charged nucleus and an electron revolving around the nucleus in a stable circular orbit.
Bohr's Radius:
If 'e,' 'm,' and 'v' be the charge, mass, and velocity of the electron respectively, 'r' be the radius of the orbit, and Z be the atomic number, the equation for the radii of the permitted orbits is given by r = n2 ｘr1, where 'n' is the principal quantum number, and r1 is the least allowed radius for a hydrogen atom, known as Bohr's radius having a value of 0.53 Å.
Limitations of the Bohr Model
The Bohr Model was an important step in the development of atomic theory. However, it has several limitations.
- Bohr’s model of the atom failed to explain the Zeeman Effect (effect of magnetic field on the spectra of atoms).
- It failed to explain the Stark effect (effect of electric field on the spectra of atoms).
- The spectra obtained from larger atoms weren’t explained.
- It violates the Heisenberg Uncertainty Principle.