Concept explainers
(a)
The ratio of stellar masses.
(a)
Answer to Problem 7.6P
The ratio of stellar masses is
Explanation of Solution
Write the expression for ratio of masses of two stars in term of radial velocity.
Here,
Conclusion:
Substitute
Thus, the ratio of stellar masses is
(b)
The sum of the masses.
(b)
Answer to Problem 7.6P
The sum of two masses is
Explanation of Solution
Write the expression for sum of two masses.
Here,
Conclusion:
Substitute
Thus, the sum of two masses is
(c)
The individual masses of two stars.
(c)
Answer to Problem 7.6P
The mass of star A is
Explanation of Solution
Write the expression for sum of two masses.
Here,
Write the expression of mass of star A.
Conclusion:
Substitute
Substitute
Thus, the mass of star A is
(d)
The individual radii.
(d)
Answer to Problem 7.6P
The radius of star A is
Explanation of Solution
Write the expression for smallest star
Here,
Write the expression for radius of largest star
Here,
Conclusion:
Substitute
Substitute
Thus, the radius of star A is
(e)
The ratio of the effective temperatures of the two stars.
(e)
Answer to Problem 7.6P
The ratio of the effective temperatures of the two stars is
Explanation of Solution
Write the expression for ratio of brightness of
Here,
Write the expression for ratio of brightness of
Here,
Write the expression of effective temperature of two stars.
Conclusion:
Substitute
Substitute
Substitute
Thus, the ratio of the effective temperatures of the two stars is
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Chapter 7 Solutions
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