If the stars at the turn off point in a star cluster have masses of about 4 solar masses, how old is the cluster? | bartleby

Horizons: Exploring the Universe (...

14th Edition

Michael A. Seeds + 1 other

Publisher: Cengage Learning

ISBN: 9781305960961

Chapter 10, Problem 2P

Textbook Problem

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If the stars at the turn off point in a star cluster have masses of about 4 solar masses, how old is the cluster?

To determine

How old is the cluster, if the stars at the turnoff point in a star cluster have masses of about 4 solar masses?

Explanation of Solution

Formula used:

Using the formula,

τ=M−5/2

Here, τ is lifetime of a star in solar lifetimes, and M is the star`s mass in solar masses M.

Calculation:

We have, M = 4.

Substituting the values in above equation, we get

τ=(4)−5/2⇒τ=132solar lifetimes

In years,

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Chapter 10 Solutions

Horizons: Exploring the Universe (MindTap Course List)

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