Universe
Universe
11th Edition
ISBN: 9781319039448
Author: Robert Geller, Roger Freedman, William J. Kaufmann
Publisher: W. H. Freeman
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 25, Problem 21Q

(a)

To determine

The age of the universe for a Hubble constant of 50km/s/Mpc.

(a)

Expert Solution
Check Mark

Answer to Problem 21Q

Solution:

20 billion years.

Explanation of Solution

Given data:

The Hubble constant is 50km/s/Mpc.

Formula used:

The relation between the age of the universe and the Hubble constant is given by the following expression,

T0=1H0

Here, T0 is the age of the universe and H0 is the Hubble constant.

Explanation:

Recall the relation between the age of the universe and the Hubble constant.

T0=1H0

Substitute 50km/s/Mpc for H0,

T0=150 km/s/Mpc=1 Mpc50 km/s(3.09×1019 km1 Mpc)=6.18×1017 s(1 ly3.156×107 s)=1.96×1010 yr

Upon further solving,

T020 billion years.

Conclusion:

Therefore, the age of the universe is 20 billion years.

(b)

To determine

The age of the universe for a Hubble constant of 75km/s/Mpc.

(b)

Expert Solution
Check Mark

Answer to Problem 21Q

Solution:

13 billion years.

Explanation of Solution

Given data:

The Hubble constant is 75km/s/Mpc.

Formula used:

The relation between the age of the universe and the Hubble constant is given by the following expression,

T0=1H0

Here, T0 is the age of the universe and H0 is the Hubble constant.

Explanation:

Recall the relation between the age of the universe and the Hubble constant.

T0=1H0

Substitute 75km/s/Mpc for H0,

T0=175 km/s/Mpc=1 Mpc75 km/s(3.09×1019 km1 Mpc)=6.18×1017 s(1 ly3.156×107 s)=13×109 year

Upon further solving,

T0=13 billion year.

Conclusion:

Therefore, the age of the universe is 13 billion years.

(c)

To determine

The age of the universe for a Hubble constant of 100km/s/Mpc. The explanation for the use of the ages of the globular clusters for the maximum value of the Hubble constant.

(c)

Expert Solution
Check Mark

Answer to Problem 21Q

Solution:

10 billion years.

Explanation of Solution

Given data:

The Hubble constant is 100km/s/Mpc.

Formula used:

The relation between the age of the universe and the Hubble constant is given by the following expression,

T0=1H0

Here, T0 is the age of the universe and H0 is the Hubble constant.

Explanation:

Recall the relation between the age of the universe and the Hubble constant.

T0=1H0

Substitute 100km/s/Mpc for H0,

T0=1100 km/s/Mpc=1 Mpc100 km/s(3.09×1019 km1 Mpc)=6.18×1017 s(1 ly3.156×107 s)=9.79×109 yr

Upon further solving,

T0=9.79 billion years.

From the calculation in all the three parts, the value of H0 gives a corresponding value of T0, which is less than the ages of oldest stars present in a globular cluster.

Conclusion:

Therefore, the universe must be older than the oldest stars of the globular cluster. So, the Hubble constant should be such that the age of the universe is older than that of the oldest star in the globular cluster.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Problem 04.08 (17 points). Answer the following questions related to the figure below. ථි R₁ www R₂ E R₁ www ли R₁ A Use Kirchhoff's laws to calculate the currents through each battery and resistor in terms of R1, R2, E1, & E2. B Given that all the resistances and EMFs have positive values, if E₁ > E2 and R₁ > R2, which direction is the current flowing through E₁? Through R₂? C If E1 E2 and R₁ > R2, which direction is the current flowing through E₁? Through R2?
A 105- and a 45.0-Q resistor are connected in parallel. When this combination is connected across a battery, the current delivered by the battery is 0.268 A. When the 45.0-resistor is disconnected, the current from the battery drops to 0.0840 A. Determine (a) the emf and (b) the internal resistance of the battery. 10 R2 R₁ ww R₁ Emf 14 Emf Final circuit Initial circuit
A ball is shot at an angle of 60° with the ground. What should be the initial velocity of the ball so that it will go inside the ring 8 meters away and 3 meters high. Suppose that you want the ball to be scored exactly at the buzzer, determine the required time to throw and shoot the ball. Full solution and figure if there is.
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Foundations of Astronomy (MindTap Course List)
Physics
ISBN:9781337399920
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Text book image
Stars and Galaxies (MindTap Course List)
Physics
ISBN:9781337399944
Author:Michael A. Seeds
Publisher:Cengage Learning
Text book image
Astronomy
Physics
ISBN:9781938168284
Author:Andrew Fraknoi; David Morrison; Sidney C. Wolff
Publisher:OpenStax
Text book image
Stars and Galaxies
Physics
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Text book image
Horizons: Exploring the Universe (MindTap Course ...
Physics
ISBN:9781305960961
Author:Michael A. Seeds, Dana Backman
Publisher:Cengage Learning
General Relativity: The Curvature of Spacetime; Author: Professor Dave Explains;https://www.youtube.com/watch?v=R7V3koyL7Mc;License: Standard YouTube License, CC-BY