It is actually an astronomy question! I need just Problem 3 You have discovered
ID: 1650014 • Letter: I
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It is actually an astronomy question! I need just Problem 3
You have discovered a binary star system composed of a blue supergiant orbiting an unseen companion (object X) at a distance of 0.2 AU. Based on the orbit of the blue supergiant, object X is measured to have a mass of about 15 solar masses. Use this information to answer the questions below. a) What is object X most likely to be? b) Explain one way, other than via the orbit of the blue supergiant, that the presence of object X could be indirectly detected. c) For a star to turn into something like object X at the end of its life, how much more massive than the Sun must it be? d) If object X instead had the mass of the sun, and were placed at the center of the solar system, what would happen to the orbits of the planets? Stars in star clusters are born all at around the same time, and with nearly the same chemical composition (in most cases). Use this information to answer the questions below. a) What is the main initial difference between stars all born in the same star cluster? How does this property affect the main sequence lifetime of stars? b) Star X and Star Y are both on the main sequence in a cluster. Star X is an 0 type star, and Star Y is a G type star. Which star has the longer main sequence lifetime? c) Cluster A is 100 Myr old, and Cluster B is 1 Byr old. Which cluster has the bluer main sequence turn-off?Explanation / Answer
All the stars will have different surface temperatures and hence different luminosity and will have main sequence turn offs. More the temperature on the surface of a star, lesser will be the lifetime.
The lifetime depends on the masses and temperature of a star. The o-type stars are massive and have surface temperature of around 52,000 K, Fusion reactions proceed more rapidly in O-type, so they end up burning their hydrogen fuel much earlier. It decreases their lifetime. On the contrary, G-type stars are small and less hot so they use very less energy and hence, survive for more time. Therefore, the lifetime of G-type star is more than an O-type star.
Talking about clusters, the older the cluster is, more are the chances that they will have redder turn-offs. Younger clusters will have more blue main sequence stars present in them, hence they will have more bluer main sequence turn-offs.
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