**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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