The Lyman a line in a galaxy's spectrum was observed to be 208 nm. Calculate the Doppler redshift.
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, \( z \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18a542a1-0899-4ebe-acd6-685d74e53e0e%2F5858c550-ca3c-4425-b245-7ec60ecb33c1%2Fjltzfzb_processed.png&w=3840&q=75)
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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