FOUNDATIONS OF ASTRONOMY-WEBASSIGN
FOUNDATIONS OF ASTRONOMY-WEBASSIGN
14th Edition
ISBN: 9780357135655
Author: Seeds
Publisher: CENGAGE L
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Chapter 12, Problem 6P
To determine

The lifetime of main-sequences of Star A compared to the sun.

The lifetime of main-sequences of Star B compared to the sun.

The luminous of main-sequences of Star A compared to the sun.

The luminous of main-sequences of Star B compared to the sun.

Expert Solution & Answer
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Answer to Problem 6P

The lifetime of main-sequences of Star A compared to the sun is 4×106solarlifetimes.

The lifetime of main-sequences of Star B compared to the sun is 600solarlifetimes.

The luminous of main-sequences of Star A is 4×107times more luminous than the sun.

The luminous of main-sequences of Star B is 1×104times luminous as the sun.

Explanation of Solution

Write the expression for the stellar life expectancies of star A.

    t*A=1M*A2.5        (I)

Here, t*A is the stellar life expectancy of star A, M*A is the luminosity of the main-sequence star A.

Rewrite the above expression for luminosity of star A.

    L*A=M*At*A        (II)

Here, L*A is luminous of main-sequences of Star A.

Write the expression for the stellar life expectancies of star B.

    t*B=1M*B2.5        (III)

Here, t*B is the stellar life expectancy of star B, M*B is the luminosity of the main-sequence star B.

Rewrite the above expression for luminosity of star B.

    L*B=M*Bt*B        (IV)

Here, L*B is luminous of main-sequences of Star B.

Conclusion:

Substitute 150 for M*A in (I) to find t*A

    t*A=1(150)2.5=3.63×1064×106solarlifetime

Substitute 150 for M*A, 4×106solarlifetime for t*A in (II) to find L*A.

    L*A=1504×106=3.75×1074×107times

Substitute 0.08 for M*B in (III) to find t*B

    t*B=1(0.08)2.5=552.43600solarlifetime

Substitute 0.08 for M*B, 600solarlifetime for t*B in (IV) to find L*B.

    L*B=0.08600=1.33×1041×104times

Therefore, the lifetime of main-sequences of Star A compared to the sun is 4×106solarlifetimes. The lifetime of main-sequences of Star A compared to the sun is 600solarlifetimes. The luminous of main-sequences of Star A is 4×107times more luminous than the sun.  The luminous of main-sequences of Star B is 1×104times luminous as the sun.

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