A stationary hydrogen atom de excites from first excited state to ground state. Find recoil speed of hydrogen atom up to nearest integral value, (mass of hydrogen atom
= 1.8 * 10^–27 kg)

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Alok Kumar Singh | Contributor-Level 10

4 months ago

$| Δ E_{0} | = (- 136 {1 - \frac{1}{4}}) e V$

|DE₀| = –10.2

$λ = \frac{12400}{10.2} * 1 0^{- 10} m$

$ρ = \frac{h}{λ} = \frac{6.63 * 1 0^{- 34} * 10.2}{12400 * 1 0^{- 10}}$

$?$ $m v = \frac{h}{λ}$

$1.8 * 1 0^{- 27}$

$v = \frac{6.63 * 10.2 * 1 0^{- 34}}{12400 * 1 0^{- 10}}$

$v = \frac{6.63 * 10.2}{12400 * 1.8} * 1 0^{3}$

$= \frac{6.63 * 102}{124 * 1.8} = 3.02$ ]

= 3 m/s

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A stationary hydrogen atom de excites from first excited state to ground state. Find recoil speed of hydrogen atom up to nearest integral value, (mass of hydrogen atom= 1.8 * 10–27 kg)

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