Question
Download Solution PDFAn external energy is used to excite an electron in the K shell of a hydrogen atom to the M shell. The angular momentum of the electron in the new shell after excitation is ________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The mathematical expression for the angular momentum of an electron can be stated as follows:
- \(L=mvr=\frac{nh}{2\pi}=n\hbar\)
Here, m = mass of electron
v = velocity of electron
r = radius of the orbit or shell in which the electron is revolving/rotating
n = number of orbit in which the electron is revolving
h = Planck’s constant having a value of \(6.63\times 10^{-34}Kgm^2/s\)
- \(\hbar=\frac{h}{2\pi}=1.055\times10^{-34}Js\)
Explanation:
Electron is excited from n=1 to n=3 i.e. from K to M shell,
- \(L=n\hbar=3\hbar\)
- \(L=3\times 1.055\times10^{-34}J.s=3.165\times10^{-34}J.s\)
Hence, the correct answer is \(L=3.165\times10^{-34}J.s\)
Last updated on Jun 18, 2025
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