Question 227: Atoms & Nuclei

Question

Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 $\mathop A\limits^o $). The
de-Broglie wavelength of this electron is :

Accepted Answer

For second excited state n = 3
$mvr = {{3h} \over {2\pi }}$ ........(1)
$mv = {h \over \lambda }$ .........(2)
Dividing (1) by (2), we get
$r = {{3\lambda } \over {2\pi }}$
$ \Rightarrow $ $\lambda  = {{2\pi r} \over 3}$ = ${{2 	imes 3.14 	imes 4.65} \over 3}$ = 9.7 $\mathop A\limits^o $

Answer

6.6 $\mathop A\limits^o $

Answer

3.5 $\mathop A\limits^o $

Answer

9.7 $\mathop A\limits^o $

Answer

12.9 $\mathop A\limits^o $

Atoms & Nuclei

Consider an electron in a hydrogen atom revolving in its second excited state (having radius 4.65 \mathop A\limits^o ). The de-Broglie wavelength of this electron is :

Choose the correct answer: