Answer :
To solve this problem, we need to calculate the luminosity ratios for two stars, B-618 and C-197. The luminosity ratio is found by dividing the mean luminosity of the star by its mean brightness. Let's go through the steps:
1. Identify Known Values:
- For star B-618:
- Mean Luminosity = 50 units
- Mean Brightness = 25 units
- For star C-197:
- Mean Luminosity = 40 units
- Mean Brightness = 20 units
2. Calculate the Luminosity Ratio for Star B-618:
- The luminosity ratio is calculated as:
[tex]\[
\text{Luminosity Ratio of B-618} = \frac{\text{Mean Luminosity of B-618}}{\text{Mean Brightness of B-618}} = \frac{50}{25} = 2.0
\][/tex]
3. Calculate the Luminosity Ratio for Star C-197:
- Similarly, the luminosity ratio is calculated as:
[tex]\[
\text{Luminosity Ratio of C-197} = \frac{\text{Mean Luminosity of C-197}}{\text{Mean Brightness of C-197}} = \frac{40}{20} = 2.0
\][/tex]
4. Conclusion:
- Both stars, B-618 and C-197, have a luminosity ratio of 2.0.
This means that for each unit of brightness, both stars have a mean luminosity that is twice that unit of brightness.
1. Identify Known Values:
- For star B-618:
- Mean Luminosity = 50 units
- Mean Brightness = 25 units
- For star C-197:
- Mean Luminosity = 40 units
- Mean Brightness = 20 units
2. Calculate the Luminosity Ratio for Star B-618:
- The luminosity ratio is calculated as:
[tex]\[
\text{Luminosity Ratio of B-618} = \frac{\text{Mean Luminosity of B-618}}{\text{Mean Brightness of B-618}} = \frac{50}{25} = 2.0
\][/tex]
3. Calculate the Luminosity Ratio for Star C-197:
- Similarly, the luminosity ratio is calculated as:
[tex]\[
\text{Luminosity Ratio of C-197} = \frac{\text{Mean Luminosity of C-197}}{\text{Mean Brightness of C-197}} = \frac{40}{20} = 2.0
\][/tex]
4. Conclusion:
- Both stars, B-618 and C-197, have a luminosity ratio of 2.0.
This means that for each unit of brightness, both stars have a mean luminosity that is twice that unit of brightness.
