Number of waves made by Bohr's electron in on | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) According to Bohr's postulate,the angular momentum of an electron is quantized as $mvr = \frac{nh}{2\pi}$.According to De Broglie's hypothesis,$\l

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) According to Bohr's postulate,the angular momentum of an electron is quantized as $mvr = \frac{nh}{2\pi}$.According to De Broglie's hypothesis,$\lambda = \frac{h}{mv}$,which implies $mv = \frac{h}{\lambda}$.Substituting this into the Bohr's postulate: $(\frac{h}{\lambda})r = \frac{nh}{2\pi}$.This simplifies to $2\pi r = n\lambda$,where $n$ is the principal quantum number.For the $3^{rd}$ orbit,$n = 3$,so the number of waves is $3$.

Number of waves made by Bohr's electron in one complete revolution in the $3^{rd}$ orbit.

Similar Questions

Why does the spectrum of an atom contain many lines even if only one electron is excited?

Find the frequency and wavelength of light required for the ionization of the solution. (Ionization energy of the solution $= 8.2 \times 10^{-19} \ J$)

The ratio of the maximum wavelengths of the Lyman and Balmer series is ....

What is the kinetic energy of an electron in the second excited state of $He^{+}$? (Energy of an electron in the first shell of $H = -13.6 \ eV$)

The energy of an electron in a Hydrogen atom is given by the expression:

Vedclass Test Series

Exam Paper Generator

Online Exam Module