An electron in hydrogen atom makes a transition $n_1 \rightarrow n_2$ where $n_1$, and $n_2$ are principal quantum numbers of the two states. Assuming Bohr?? model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible
- $n_1 = 8, n_2 = 1$
- $n_1 = 6, n_2 = 2$
- $n_1 = 4, n_2 = 2$
- $n_1 = 8, n_2 = 2$
The Correct Option is C
Solution and Explanation
Top Questions on Bohr’s Model for Hydrogen Atom
- The wavelength of the light emitted by a hydrogen atom during a transition from \( n = 3 \) to \( n = 2 \) is \( 656.3 \, \text{nm} \). What is the energy of the photon emitted during this transition?
- MHT CET - 2025
- Chemistry
- Bohr’s Model for Hydrogen Atom
- If \(a_0\) is denoted as the Bohr radius of the hydrogen atom, then what is the de-Broglie wavelength \( \lambda \) of the electron present in the second orbit of the hydrogen atom?
- JEE Main - 2025
- Chemistry
- Bohr’s Model for Hydrogen Atom
- If an electron in a hydrogen atom jumps from the third orbit to the second orbit, it emits a photon of wavelength $ \lambda $. When it jumps from the second to the first orbit, the corresponding wavelength of the photon will be:
- COMEDK UGET - 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
The angular momentum of an electron in a stationary state of \(Li^{2+}\) (\(Z=3\)) is \( \frac{3h}{\pi} \). The radius and energy of that stationary state are respectively.
- AP EAPCET - 2024
- Chemistry
- Bohr’s Model for Hydrogen Atom
Questions Asked in KCET exam
A convex lens has power \( P \). It is cut into two halves along its principal axis. Further, one piece (out of two halves) is cut into two halves perpendicular to the principal axis as shown in the figure. Choose the incorrect option for the reported lens pieces.
- KCET - 2025
- Optics
The equation \[ 2 \cos^{-1} x = \sin^{-1} \left( 2 \sqrt{1 - x^2} \right) \] is valid for all values of \(x\) satisfying:
- KCET - 2025
- Inverse Trigonometric Functions
A metallic sphere of radius \( R \) carrying a charge \( q \) is kept at a certain distance from another metallic sphere of radius \( R_4 \) carrying a charge \( Q \). What is the electric flux at any point inside the metallic sphere of radius \( R \) due to the sphere of radius \( R_4 \)?
- KCET - 2025
- Electric Flux
- If the number of terms in the binomial expansion of \((2x + 3)^n\) is 22, then the value of \(n\) is:
- KCET - 2025
- Binomial theorem
The circuit shown in the figure contains two ideal diodes \( D_1 \) and \( D_2 \). If a cell of emf 3V and negligible internal resistance is connected as shown, then the current through \( 70 \, \Omega \) resistance (in amperes) is:
- KCET - 2025
- Refractive index
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.