Question:
The angular momentum of electron in H atom in a particular n state is $\frac{h}{\pi}$. What is the energy in J required to excite the electron from this particular n state to (n+1) state?
The angular momentum of electron in H atom in a particular n state is $\frac{h}{\pi}$. What is the energy in J required to excite the electron from this particular n state to (n+1) state?
Show Hint
The energy required for excitation can be calculated using the energy difference between two quantized energy levels in a hydrogen atom.
Updated On: May 13, 2025
- $x$
- $\frac{5x}{36}$
- $\frac{36x}{5}$
- $\frac{3x}{4}$
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Given, the angular momentum is $\frac{h}{\pi}$, and the energy for the electron in a particular state is $x = 2.18 \times 10^{-18}$ J. The energy required to excite the electron from this state to (n+1) state can be found using the energy difference formula for hydrogen atom excitation. The energy required is $\frac{5x}{36}$ J.
Was this answer helpful?
0
0
Top Questions on Bohr’s Model for Hydrogen Atom
A hydrogen atom consists of an electron revolving in a circular orbit of radius r with certain velocity v around a proton located at the nucleus of the atom. The electrostatic force of attraction between the revolving electron and the proton provides the requisite centripetal force to keep it in the orbit. According to Bohr’s model, an electron can revolve only in certain stable orbits. The angular momentum of the electron in these orbits is some integral multiple of \(\frac{h}{2π}\), where h is the Planck’s constant.
- CBSE CLASS XII - 2025
- Physics
- Bohr’s Model for Hydrogen Atom
- In Bohr’s model of hydrogen atom, find the percentage change in the radius of its orbit when an electron makes a transition from \( n = 3 \) state to \( n = 2 \) state.
- CBSE CLASS XII - 2025
- Physics
- Bohr’s Model for Hydrogen Atom
- Observe the following data.
Ion Q4+ Xb+ Yc+ Zd+ Radius (pm) 53 66 40 100 Q4+, Xb+, Yc+, Zd+ are respectively
- AP EAPCET - 2025
- Chemistry
- Bohr’s Model for Hydrogen Atom
- The number of electrons with magnetic quantum number $m = 0$ in the elements with atomic numbers $Z = 24$ and $Z = 29$ are respectively
- AP EAPCET - 2025
- Chemistry
- Bohr’s Model for Hydrogen Atom
- The de Broglie wavelengths of two fast-moving particles \( X \), \( Y \) are \( 1 \) nm, \( 3 \) nm respectively. Mass of \( X \) is nine times the mass of \( Y \). The ratio of kinetic energies of \( X \), \( Y \) is:
- AP EAPCET - 2025
- Chemistry
- Bohr’s Model for Hydrogen Atom
View More Questions
Questions Asked in AP EAPCET exam
- If \( f : \mathbb{R} \to \mathbb{R} \) and \( g : \mathbb{R} \to \mathbb{R} \) are two functions defined by \( f(x) = 2x - 3 \) and \( g(x) = 5x^2 - 2 \), then the least value of the function \((g \circ f)(x)\) is:
- AP EAPCET - 2025
- Functions
- If \(x^2 + y^2 = 25\) and \(xy = 12\), then what is the value of \(x^4 + y^4\)?
- If \( i = \sqrt{-1} \), then \[ \sum_{n=2}^{30} i^n + \sum_{n=30}^{65} i^{n+3} = \]
- AP EAPCET - 2025
- Complex numbers
- If $ 0 \le x \le 3,\ 0 \le y \le 3 $, then the number of solutions $(x, y)$ for the equation: $$ \left( \sqrt{\sin^2 x - \sin x + \frac{1}{2}} \right)^{\sec^2 y} = 1 $$
- AP EAPCET - 2025
- Functions
- The number of all five-letter words (with or without meaning) having at least one repeated letter that can be formed by using the letters of the word INCONVENIENCE is:
- AP EAPCET - 2025
- Binomial Expansion
View More Questions