Question:
The difference in magnitudes of angular momentum of the electrons revolving in \(5^{\text{th}}\) Bohr’s orbit and \(3^{\text{rd}}\) Bohr’s orbit of hydrogen atom is
The difference in magnitudes of angular momentum of the electrons revolving in \(5^{\text{th}}\) Bohr’s orbit and \(3^{\text{rd}}\) Bohr’s orbit of hydrogen atom is
Show Hint
Bohr quantization:
- $L = n\frac{h}{2\pi}$
- Difference depends only on change in $n$
Updated On: Apr 30, 2026
- $\frac{2h}{\pi}$
- $\frac{h}{\pi}$
- $\frac{h}{2\pi}$
- $\frac{3h}{2\pi}$
- $\frac{5h}{2\pi}$
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
In Bohr’s model:
\[
L_n = n\frac{h}{2\pi}
\]
Step 1: Find angular momentum for $n=5$.
\[ L_5 = 5\frac{h}{2\pi} \]
Step 2: Find angular momentum for $n=3$.
\[ L_3 = 3\frac{h}{2\pi} \]
Step 3: Find difference.
\[ \Delta L = L_5 - L_3 = (5 - 3)\frac{h}{2\pi} = 2\frac{h}{2\pi} = \frac{h}{\pi} \]
Step 1: Find angular momentum for $n=5$.
\[ L_5 = 5\frac{h}{2\pi} \]
Step 2: Find angular momentum for $n=3$.
\[ L_3 = 3\frac{h}{2\pi} \]
Step 3: Find difference.
\[ \Delta L = L_5 - L_3 = (5 - 3)\frac{h}{2\pi} = 2\frac{h}{2\pi} = \frac{h}{\pi} \]
Was this answer helpful?
0
0
Top KEAM Physics Questions
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- Two capillary tubes A and B of diameter $1\, mm$ and $2\, mm$ respectively are dipped vertically in a liquid. If the capillary rise in A is 6 cm, then the capillary rise in B is
- In the circuit given in figure, 1 and 2 are ammeters. Just after key K is pressed to complete the circuit, the reading will be
- A plate has a length $ 5\pm 0.1\text{ }cm $ and breadth $ 2\pm 0.01\text{ }cm $ . Then the area of the plate is:
View More Questions
Top KEAM atom structure models Questions
- In Bohr's theory of hydrogen atom if speed of an electron in the first orbit is v, then the speed in 3rd orbit is
- The radius of innermost orbit of an electron in the hydrogen atom is $0.53\,\text{\AA}$. Then, the radius of the 3rd electron orbit is:
- In a hydrogen atom, the transition of an electron from the energy level, \(n_2 = \infty\) and \(n_1 = 3\) is the
- In the hydrogen spectrum, the shortest wavelength of the Brackett series is produced during the transition:
- Light of wavelength \(\frac{36}{5R}\,\text{m}\) is emitted by a hydrogen atom during the transition of electrons from the state
Top KEAM Questions
- i.$\quad$ They help in respiration ii.$\quad$ They help in cell wall formation iii.$\quad$ They help in DNA replication iv. $\quad$They increase surface area of plasma membrane Which of the following prokaryotic structures has all the above roles?
- A body oscillates with SHM according to the equation (in SI units), $x = 5 cos \left(2\pi t +\frac{\pi}{4}\right) .$ Its instantaneous displacement at $t = 1$ second is
- The pH of a solution obtained by mixing 60 mL of 0.1 M BaOH solution at 40m of 0.15m HCI solution is
Kepler's second law (law of areas) of planetary motion leads to law of conservation of
- If $\int e^{2x}f' \left(x\right)dx =g \left(x\right)$, then $ \int\left(e^{2x}f\left(x\right) + e^{2x} f' \left(x\right)\right)dx =$
View More Questions