If the total energy of an electron in a hydrogen atom in excited … - Vidyadip

MCQ

If the total energy of an electron in a hydrogen atom in excited state is $-3.4\, eV$, then the de-Broglie wavelength of the electron is

A
$3.3 \times {10^{ - 8}}\,cm$
B
$6.6 \times {10^{ - 10}}\,cm$
C
$3.3 \times {10^{ - 10}}\,cm$
✓
$6.64 \times {10^{ - 8}}\,cm$

✓

Answer

Correct option: D.

$6.64 \times {10^{ - 8}}\,cm$

d
$n\lambda = 2\pi r$

$\lambda = \frac{{2\pi r}}{n} = \frac{{2 \times 3.14 \times 0.529 \times {{10}^{ - 8}}\,cm \times 4}}{2}$

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