Consider an electron in a hydrogen atom, revolving in its second … - Vidyadip

MCQ

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

A
$12.9$
✓
$9.7$
C
$6.6$
D
$3.5$

✓

Answer

Correct option: B.

$9.7$

b
$2 \pi r_{n}=n \lambda_{n}$

$\lambda_{3}=\frac{2 \pi\left(4.65 \times 10^{-10}\right)}{3}$

$\lambda_{3}=9.7 \mathrm{A}$

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