Which of the following is not possible value of radius of stable orbit of hydrogen atom. Where λ is de Broglie wavelength of the electron.

Question

Which of the following is not possible value of radius of stable orbit of hydrogen atom. Where λ is de Broglie wavelength of the electron. (A) (λ/2 π) (B) (3 λ/4 π) (C) (3 λ/2 π) (D) (λ/π)

Tardigrade Admin · Accepted Answer

∴ 2 π r=n λ ∴ r=(n λ/2 π) n=1,2,3,4,5 ldots ldots ldots r =(λ/2 π), (2 λ/2 π), (3 λ/2 π) So (3 λ/4 π) is odd one

Q. Which of the following is not possible value of radius of stable orbit of hydrogen atom. Where $λ$ is de Broglie wavelength of the electron.

$\frac{λ}{2 π}$

$\frac{3 λ}{4 π}$

$\frac{3 λ}{2 π}$

$\frac{λ}{π}$

$∴ 2 π r = nλ$
$∴ r = \frac{nλ}{2 π}$
$n = 1, 2, 3, 4, 5 \dots\dots\dots r$
$= \frac{λ}{2 π}, \frac{2 λ}{2 π}, \frac{3 λ}{2 π}$
So $\frac{3 λ}{4 π}$ is odd one

Q. Which of the following is not possible value of radius of stable orbit of hydrogen atom. Where λ is de Broglie wavelength of the electron.

2πλ​

4π3λ​

2π3λ​

πλ​