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Answer :
Final answer:
If A cepheid variable star has an apparent brightness of 85 and a period of 14.3 days then the stars are 10.8 megaparsecs away from the sun .Option C is the correct answer.
Explanation on how to calculate the distance to a Cepheid variable star using its period-luminosity relation and apparent brightness.
Explanation:
A cepheid variable star can be used to calculate its distance by comparing its luminosity to its apparent brightness. Given that the star's apparent brightness is 85 times that of the Sun, and it has a period of 14.3 days, the distance can be determined using the period-luminosity relation.
To find the distance:
- Calculate the star's luminosity using the period-luminosity relation.
- Compare the luminosity to the apparent brightness to calculate the distance.
By following these steps, the star would be about 10.8 megaparsecs away based on the provided data.
Option C is the correct answer.
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