The Lyman a line in a galaxy's spectrum was observed to be 208 nm. Calculate the Doppler redshift.

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**Transcription of Educational Content:**

### Calculating the Doppler Redshift

The Lyman α line in a galaxy's spectrum was observed to be 208 nm. Calculate the Doppler redshift.

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**Explanation:**

The Lyman α line is a spectral line of hydrogen that typically appears at 121.6 nm in a laboratory setting. The observation of this line at 208 nm indicates a shift due to the Doppler effect, most likely caused by the movement of the galaxy relative to the observer.

To calculate the Doppler redshift (\( z \)), use the formula:

\[ z = \frac{\lambda_{\text{observed}} - \lambda_{\text{rest}}}{\lambda_{\text{rest}}} \]

Where:
- \( \lambda_{\text{observed}} = 208 \, \text{nm} \)
- \( \lambda_{\text{rest}} = 121.6 \, \text{nm} \)

By plugging in the values, you can find the redshift, \( z \).
Transcribed Image Text:**Transcription of Educational Content:** ### Calculating the Doppler Redshift The Lyman α line in a galaxy's spectrum was observed to be 208 nm. Calculate the Doppler redshift. --- **Explanation:** The Lyman α line is a spectral line of hydrogen that typically appears at 121.6 nm in a laboratory setting. The observation of this line at 208 nm indicates a shift due to the Doppler effect, most likely caused by the movement of the galaxy relative to the observer. To calculate the Doppler redshift (\( z \)), use the formula: \[ z = \frac{\lambda_{\text{observed}} - \lambda_{\text{rest}}}{\lambda_{\text{rest}}} \] Where: - \( \lambda_{\text{observed}} = 208 \, \text{nm} \) - \( \lambda_{\text{rest}} = 121.6 \, \text{nm} \) By plugging in the values, you can find the redshift, \( z \).
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