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Optics of Moving Sources

Problem 5.232

How fast does a certain nebula recede if the hydrogen line \(\lambda=434 \mathrm{nm}\) in its spectrum is displaced by \(130 \mathrm{nm}\) toward longer wavelengths?

Reveal Answer
 5.232. From the formula ω′=ω(1−β)/(1+β) we get β==v/c=0.26\begin{aligned} &\text { 5.232. From the formula } \omega^{\prime}=\omega \sqrt{(1-\beta) /(1+\beta)} \text { we get } \beta=\\ &=v / c=0.26 \end{aligned}
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