If a star has a surface temperature of 5000 K what will the maximum wavelength emitted by the star be?
If a star has a surface temperature of 5000 K what will the maximum wavelength emitted by the star be?
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![**Question:**
If a star has a surface temperature of 5000 K, what will the maximum wavelength emitted by the star be?
**Explanation:**
This question likely relates to Wien's Displacement Law, which states that the wavelength of the peak emission of a black body is inversely proportional to its temperature. This law is often used in astrophysics to determine the color and type of stars based on their surface temperatures. To find the maximum wavelength (λ_max) of a star with a surface temperature (T) of 5000 Kelvin, you can use the following formula:
\[ \lambda_{max} = \frac{b}{T} \]
where \( b \) is Wien's displacement constant, approximately equal to \( 2.897 \times 10^{-3} \) m K.
This concept helps astronomers and students understand the spectral characteristics of stars, aiding in the classification and study of astronomical objects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fe8677b-d2b4-4cf1-b1ed-08820154fcb5%2Fe35960fe-788f-4e6c-a0a2-a07b17efab3e%2Fe8xyh3a_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
If a star has a surface temperature of 5000 K, what will the maximum wavelength emitted by the star be?
**Explanation:**
This question likely relates to Wien's Displacement Law, which states that the wavelength of the peak emission of a black body is inversely proportional to its temperature. This law is often used in astrophysics to determine the color and type of stars based on their surface temperatures. To find the maximum wavelength (λ_max) of a star with a surface temperature (T) of 5000 Kelvin, you can use the following formula:
\[ \lambda_{max} = \frac{b}{T} \]
where \( b \) is Wien's displacement constant, approximately equal to \( 2.897 \times 10^{-3} \) m K.
This concept helps astronomers and students understand the spectral characteristics of stars, aiding in the classification and study of astronomical objects.
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