The ionization energy of $Li^{2+}$ is equal to
- $9\,hcR$
- $2\,hcR$
- $6\,hcR$
- $hcR$
The Correct Option is A
Solution and Explanation
$Z=3$ for $ Li ^{2+} $
$\therefore$ Ionization energy $=(3)^{2} R c h=9 R c h$
Top Questions on 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
- 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
- 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 KCET exam
- If \(\lim\limits_{x \rightarrow 0} \frac{\sin(2+x)-\sin(2-x)}{x}\)= A cos B, then the values of A and B respectively are
- KCET - 2023
- limits of trigonometric functions
- The Curie temperatures of Cobalt and iron are 1400K and 1000K respectively. At T = 1600K , the ratio of magnetic susceptibility of Cobalt to that of iron is
- KCET - 2023
- Magnetism and matter
- A particle is in uniform circular motion. Related to one complete revolution of the particle, which among the stataments is incorrect ?
- KCET - 2023
- Uniform Circular Motion
- The modulus of the complex number \(\frac{(1+i)^2(1+3i)}{(2-6i)(2-2i)}\) is
- KCET - 2023
- complex numbers
- The energy gap of an LED is 2.4 eV. When the LED is switched ‘ON’, the momentum of the emitted photons is
- KCET - 2023
- Semiconductor electronics: materials, devices and simple circuits
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.
SUBSCRIBE TO OUR NEWS LETTER
