Every star has certain properties that help to define it. Some of the main properties of stars are: Surface Temperature: The amount of heat on the surface of a star The amount of energy a star gives off each Luminosity: second The size of a star; specifically, the distance between the center and surface of the star Radius: Mass: The amount of material in a star The luminosity of a star is related to its temperature and radius. Hotter stars are more luminous (give off more light) than cooler stars of the same size. Similarly, if two stars are at the same temperature, the larger star will be more luminous. The mathematical formula that describes how these properties are related is: La T*R? (2) Luminosity x (Temperature)* x (Radius)? (3) Let's do an example to understand what this proportionality means. 2) In question 9), you found out how many times hotter Star A is than Star B. Assuming that Star A and Star B are the same size, how many times more luminous is Star A than Star B? (Hint: Calculate the ratio, A.) Show your work below. LB
Every star has certain properties that help to define it. Some of the main properties of stars are: Surface Temperature: The amount of heat on the surface of a star The amount of energy a star gives off each Luminosity: second The size of a star; specifically, the distance between the center and surface of the star Radius: Mass: The amount of material in a star The luminosity of a star is related to its temperature and radius. Hotter stars are more luminous (give off more light) than cooler stars of the same size. Similarly, if two stars are at the same temperature, the larger star will be more luminous. The mathematical formula that describes how these properties are related is: La T*R? (2) Luminosity x (Temperature)* x (Radius)? (3) Let's do an example to understand what this proportionality means. 2) In question 9), you found out how many times hotter Star A is than Star B. Assuming that Star A and Star B are the same size, how many times more luminous is Star A than Star B? (Hint: Calculate the ratio, A.) Show your work below. LB
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first pic is for ur reference. already know star A is 1.75 times hotter
![**Properties of Stars**
Every star has certain properties that help to define it. Some of the main properties of stars are:
| **Surface Temperature** | The amount of heat on the surface of a star |
|------------------------|--------------------------------------------|
| **Luminosity** | The amount of energy a star gives off each second |
| **Radius** | The size of a star; specifically, the distance between the center and surface of the star |
| **Mass** | The amount of material in a star |
The luminosity of a star is related to its temperature and radius. Hotter stars are more luminous (give off more light) than cooler stars of the same size. Similarly, if two stars are at the same temperature, the larger star will be more luminous. The mathematical formula that describes how these properties are related is:
\[ L \propto T^4 R^2 \] \hspace{2cm} (2)
Luminosity \(\propto\) (Temperature)\(^4\) × (Radius)\(^2\) \hspace{1cm} (3)
Let's do an example to understand what this proportionality means.
2) In question 9, you found out how many times hotter Star A is than Star B. Assuming that Star A and Star B are the same size, how many times more luminous is Star A than Star B? (Hint: Calculate the ratio, \(\frac{L_{A}}{L_{B}}\).) Show your work below.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7c87654-3157-4119-9345-56717eaa1677%2F4fda3b1b-5117-4e4e-bea1-70ed16c11d5b%2Fvq4dgnb_processed.png&w=3840&q=75)
Transcribed Image Text:**Properties of Stars**
Every star has certain properties that help to define it. Some of the main properties of stars are:
| **Surface Temperature** | The amount of heat on the surface of a star |
|------------------------|--------------------------------------------|
| **Luminosity** | The amount of energy a star gives off each second |
| **Radius** | The size of a star; specifically, the distance between the center and surface of the star |
| **Mass** | The amount of material in a star |
The luminosity of a star is related to its temperature and radius. Hotter stars are more luminous (give off more light) than cooler stars of the same size. Similarly, if two stars are at the same temperature, the larger star will be more luminous. The mathematical formula that describes how these properties are related is:
\[ L \propto T^4 R^2 \] \hspace{2cm} (2)
Luminosity \(\propto\) (Temperature)\(^4\) × (Radius)\(^2\) \hspace{1cm} (3)
Let's do an example to understand what this proportionality means.
2) In question 9, you found out how many times hotter Star A is than Star B. Assuming that Star A and Star B are the same size, how many times more luminous is Star A than Star B? (Hint: Calculate the ratio, \(\frac{L_{A}}{L_{B}}\).) Show your work below.
Transcribed Image Text:**Problem 9: Application of Wien's Law**
Use Wien’s law to calculate the answer to the following statement without looking up the constant, by showing your work below.
(*Hint: Use a ratio to find \(T_A/T_B\)*)
Complete the statement:
The hotter star is _________ times hotter than the cooler star.
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