What is the temperature of a star whose maximum light is emitted at a wavelength of 290nm

Applications and Investigations in Earth Science (9th Edition)
9th Edition
ISBN:9780134746241
Author:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
Publisher:Edward J. Tarbuck, Frederick K. Lutgens, Dennis G. Tasa
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**Chapter 5: Question 46**

What is the temperature of a star whose maximum light is emitted at a wavelength of 290 nm?

---

For educational purposes, you can use Wien's Law to determine the temperature of the star. Wien's Law is expressed as:

\[ \lambda_{\text{max}} = \frac{b}{T} \]

where:
- \( \lambda_{\text{max}} \) is the peak wavelength (290 nm in this case),
- \( b \) is Wien's displacement constant (approximately \( 2.9 \times 10^{-3} \) m·K),
- \( T \) is the temperature in Kelvin.

Convert the wavelength to meters and rearrange the formula to solve for \( T \).
Transcribed Image Text:**Chapter 5: Question 46** What is the temperature of a star whose maximum light is emitted at a wavelength of 290 nm? --- For educational purposes, you can use Wien's Law to determine the temperature of the star. Wien's Law is expressed as: \[ \lambda_{\text{max}} = \frac{b}{T} \] where: - \( \lambda_{\text{max}} \) is the peak wavelength (290 nm in this case), - \( b \) is Wien's displacement constant (approximately \( 2.9 \times 10^{-3} \) m·K), - \( T \) is the temperature in Kelvin. Convert the wavelength to meters and rearrange the formula to solve for \( T \).
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