The below HR diagram of the Hyades obtained from Perryman et al 1998 1) Circle and label
Question:
The below HR diagram of the Hyades obtained from Perryman et al 1998
1) Circle and label the main sequence. Mark the turn off point (the end of the main sequence). What kind of stars are the stars at a B-V value of 1.0 and at a V magnitude of 3? What kind of stars are the stars in the lower left hand corner?
2) What would the V magnitude of the sun be if it were in this cluster (remember that B-V at the earth for the sun is 0.68)?
3) Now we convert the answer from 2 to a distance. First, what is the difference in magnitudes from the answer of 2 and the sun’s Absolute Magnitude (which is +5.0)? We will set this value equal to X. The distance to the cluster is then:
Distance = 10 parsecs * 10X/5
What is the distance to this cluster? Be sure to show work, use proper scientific notation, and to use 2 significant digits.
4) Now we go for the age. The expected lifetime of that star is the age of the cluster. So, for normal stars the lifetime is
(if Y = V magnitude of turn off point – V magnitude of the sun if it was in the cluster):
Lifetime = 10 billion * 10(4Y/15)
Show work! Use 2 significant digits, and answer in terms of billions of years. Hint, first find the value for Y by using the turn off point that you marked in question 1, and you found V for the sun in question 2- and Y will be negative. Give your answer in terms of millions of years. Note that 0.1 billion is 100 million.
Financial Statement Analysis
ISBN: 978-0078110962
11th edition
Authors: K. R. Subramanyam, John Wild