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  • A hydrogen atom at rest emits a photon of wave lenght 122 nm. The recoil speed of hydrogen atom-Option: 1 4.95 m/s<div class='qna-optio

A hydrogen atom at rest emits a photon of wave lenght 122 nm. The recoil speed of hydrogen atom-

Option: 1

4.95 m/s


Option: 2

2.25 m/s


Option: 3

9 m/s


Option: 4

3.25 m/s


Answers (1)

best_answer

From, \\ \text{From}, \\ \begin{aligned} & 0 \quad=\vec{P}_{\text {photon }}+\vec{P}_H \\ & \vec{P}_H=-\vec{P}_{\text {photon }} \\ & P_H=P_{\text {photon }} \\ & m c=\frac{h}{\lambda} \\ & v=\frac{h}{m \lambda}=\frac{6.63 \times 10^{-34}}{1.67 \times 10^{-27} \times 122 \times 10^{-9}} \\ & v=\frac{6.63 \times 10^{-34} \times 10^{36}}{1.67 \times 122} \\ & u=\frac{6.63 \times 10^2}{1.67 \times 122} \simeq 3.25 \mathrm{~m} / \mathrm{s} . \end{aligned}

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Rishi

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