**H-R Diagram Explanation:** The Hertzsprung-Russell (H-R) diagram is a scatter plot that shows the relationship between the luminosity (brightness) and surface temperature of stars. The diagram has two main axes: - The vertical axis represents the luminosity of stars in solar units (L/Lsun). - The horizontal axis represents the surface temperature of stars in Kelvin (K), which decreases from left to right. **Key Sections of the Diagram:** 1. **Main Sequence:** This diagonal band extends from the top left to the bottom right, containing stars like the Sun. Stars along this line are in the stable phase of hydrogen burning. 2. **Supergiants and Giants:** Located towards the upper right, these stars are very bright and large but cooler in temperature. 3. **White Dwarfs:** This region is in the lower left of the diagram. These stars are faint but very hot. **Highlighted Stars:** - **Supergiants** (e.g., Betelgeuse and Antares) and **Giants** (e.g., Aldebaran) are marked in red and yellow, indicating cooler temperatures. - **Main Sequence stars** move from blue to red—blue stars like Spica are hotter, while red stars are cooler. Each band or region in the H-R diagram shows different evolutionary stages of stars, and the color gradient from blue to red along the bottom symbolizes increasing temperature from right to left. **Physics of Star Radiance:** The luminosity (L), temperature (T), and radius (r) of a star are interrelated through the Stefan-Boltzmann Law. The Stefan-Boltzmann constant is provided as `5.67 x 10^-8 Watts/m^2K^4`. **Example: Calculating Star Radius** For the star Spica: - Temperature (T): 25,600 K - Luminosity (L): 24,400 Lsun Given that `1 Lsun = 3.8 x 10^26 Watts`, you are tasked with finding Spica's radius in meters using known constants and equations. _Equation Required_: \[ L = 4\pi r^2 \sigma T^4 \] Where: - \( \sigma \) is the Stefan-Boltzmann constant. - \( \pi \approx 3.1415 \) This allows for calculation when relevant variables are known.
**H-R Diagram Explanation:** The Hertzsprung-Russell (H-R) diagram is a scatter plot that shows the relationship between the luminosity (brightness) and surface temperature of stars. The diagram has two main axes: - The vertical axis represents the luminosity of stars in solar units (L/Lsun). - The horizontal axis represents the surface temperature of stars in Kelvin (K), which decreases from left to right. **Key Sections of the Diagram:** 1. **Main Sequence:** This diagonal band extends from the top left to the bottom right, containing stars like the Sun. Stars along this line are in the stable phase of hydrogen burning. 2. **Supergiants and Giants:** Located towards the upper right, these stars are very bright and large but cooler in temperature. 3. **White Dwarfs:** This region is in the lower left of the diagram. These stars are faint but very hot. **Highlighted Stars:** - **Supergiants** (e.g., Betelgeuse and Antares) and **Giants** (e.g., Aldebaran) are marked in red and yellow, indicating cooler temperatures. - **Main Sequence stars** move from blue to red—blue stars like Spica are hotter, while red stars are cooler. Each band or region in the H-R diagram shows different evolutionary stages of stars, and the color gradient from blue to red along the bottom symbolizes increasing temperature from right to left. **Physics of Star Radiance:** The luminosity (L), temperature (T), and radius (r) of a star are interrelated through the Stefan-Boltzmann Law. The Stefan-Boltzmann constant is provided as `5.67 x 10^-8 Watts/m^2K^4`. **Example: Calculating Star Radius** For the star Spica: - Temperature (T): 25,600 K - Luminosity (L): 24,400 Lsun Given that `1 Lsun = 3.8 x 10^26 Watts`, you are tasked with finding Spica's radius in meters using known constants and equations. _Equation Required_: \[ L = 4\pi r^2 \sigma T^4 \] Where: - \( \sigma \) is the Stefan-Boltzmann constant. - \( \pi \approx 3.1415 \) This allows for calculation when relevant variables are known.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![**H-R Diagram Explanation:**
The Hertzsprung-Russell (H-R) diagram is a scatter plot that shows the relationship between the luminosity (brightness) and surface temperature of stars. The diagram has two main axes:
- The vertical axis represents the luminosity of stars in solar units (L/Lsun).
- The horizontal axis represents the surface temperature of stars in Kelvin (K), which decreases from left to right.
**Key Sections of the Diagram:**
1. **Main Sequence:** This diagonal band extends from the top left to the bottom right, containing stars like the Sun. Stars along this line are in the stable phase of hydrogen burning.
2. **Supergiants and Giants:** Located towards the upper right, these stars are very bright and large but cooler in temperature.
3. **White Dwarfs:** This region is in the lower left of the diagram. These stars are faint but very hot.
**Highlighted Stars:**
- **Supergiants** (e.g., Betelgeuse and Antares) and **Giants** (e.g., Aldebaran) are marked in red and yellow, indicating cooler temperatures.
- **Main Sequence stars** move from blue to red—blue stars like Spica are hotter, while red stars are cooler.
Each band or region in the H-R diagram shows different evolutionary stages of stars, and the color gradient from blue to red along the bottom symbolizes increasing temperature from right to left.
**Physics of Star Radiance:**
The luminosity (L), temperature (T), and radius (r) of a star are interrelated through the Stefan-Boltzmann Law. The Stefan-Boltzmann constant is provided as `5.67 x 10^-8 Watts/m^2K^4`.
**Example: Calculating Star Radius**
For the star Spica:
- Temperature (T): 25,600 K
- Luminosity (L): 24,400 Lsun
Given that `1 Lsun = 3.8 x 10^26 Watts`, you are tasked with finding Spica's radius in meters using known constants and equations.
_Equation Required_:
\[ L = 4\pi r^2 \sigma T^4 \]
Where:
- \( \sigma \) is the Stefan-Boltzmann constant.
- \( \pi \approx 3.1415 \)
This allows for calculation when relevant variables are known.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43a2dce8-d301-413e-9621-8419fda83add%2Fddaf6f8e-0e14-4ef6-b0f4-63c569172e24%2F3iohc3h_processed.png&w=3840&q=75)
Transcribed Image Text:**H-R Diagram Explanation:**
The Hertzsprung-Russell (H-R) diagram is a scatter plot that shows the relationship between the luminosity (brightness) and surface temperature of stars. The diagram has two main axes:
- The vertical axis represents the luminosity of stars in solar units (L/Lsun).
- The horizontal axis represents the surface temperature of stars in Kelvin (K), which decreases from left to right.
**Key Sections of the Diagram:**
1. **Main Sequence:** This diagonal band extends from the top left to the bottom right, containing stars like the Sun. Stars along this line are in the stable phase of hydrogen burning.
2. **Supergiants and Giants:** Located towards the upper right, these stars are very bright and large but cooler in temperature.
3. **White Dwarfs:** This region is in the lower left of the diagram. These stars are faint but very hot.
**Highlighted Stars:**
- **Supergiants** (e.g., Betelgeuse and Antares) and **Giants** (e.g., Aldebaran) are marked in red and yellow, indicating cooler temperatures.
- **Main Sequence stars** move from blue to red—blue stars like Spica are hotter, while red stars are cooler.
Each band or region in the H-R diagram shows different evolutionary stages of stars, and the color gradient from blue to red along the bottom symbolizes increasing temperature from right to left.
**Physics of Star Radiance:**
The luminosity (L), temperature (T), and radius (r) of a star are interrelated through the Stefan-Boltzmann Law. The Stefan-Boltzmann constant is provided as `5.67 x 10^-8 Watts/m^2K^4`.
**Example: Calculating Star Radius**
For the star Spica:
- Temperature (T): 25,600 K
- Luminosity (L): 24,400 Lsun
Given that `1 Lsun = 3.8 x 10^26 Watts`, you are tasked with finding Spica's radius in meters using known constants and equations.
_Equation Required_:
\[ L = 4\pi r^2 \sigma T^4 \]
Where:
- \( \sigma \) is the Stefan-Boltzmann constant.
- \( \pi \approx 3.1415 \)
This allows for calculation when relevant variables are known.
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