Q2. Two stars, Alpha and Beta, appear equally bright from Earth. Alpha
is located twice as far from Earth as Beta. What can you deduce
about Alpha and Beta's relative brightnesses?

Answers

Answer 1

Note that with regard to the Alpha ad Beta stars, the apparent brightness of a star decreases with distance, as the light from the star spreads out over a larger area as it travels through space.

What is the rationale for the above response?

The above means that if two stars appear equally bright from Earth but one is located farther away, the closer star must be intrinsically brighter than the farther star.

In this case, Alpha is located twice as far from Earth as Beta, so Alpha must be intrinsically brighter than Beta in order to appear equally bright from our vantage point on Earth.

Specifically, since the apparent brightness of a star is proportional to the inverse square of its distance from Earth, Alpha must be four times as intrinsically bright as Beta to appear equally bright from a distance twice as far away.

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Related Questions

"Our knowledge of the properties and laws of physics shows no signs of approaching its ultimate boundaries. . . This increasing physical knowledge is now, rapidly converted by practical ingenuity, into physical power. . . . From this union of conditions, [we can] forward to a vast multiplication and long succession of [mechanical] contrivances for economizing labor and increasing its produce: and to an ever wider diffusion of the use and benefits of those contrivances."

John Stuart Mill, British liberal political philosopher, Principles of Political Economy with Some of Their Applications to Social Philosophy, 1849


a) Explain one way the author's point of view was shaped by his historical situation.

b) Explain one way in which the passage provides evidence for an intellectual development of the nineteenth century.

c) Explain one way in which Mill's prediction accurately described subsequent developments in the late nineteenth century.

Answers

Note that:

a) The author's point of view was shaped by the Industrial Revolution, which led to the emergence of new technologies and the transformation of society.

b) The passage provides evidence for the intellectual development of the 19th century by highlighting the increasing importance of scientific knowledge and its practical applications.

c) Mill's prediction accurately described subsequent developments in the late 19th century by anticipating the widespread use and benefits of labor-saving devices and the growing influence of technology on society.

Why is John Stuart Mill important?

John Stuart Mill was an influential British philosopher, economist, and political theorist of the 19th century.

He is widely regarded as one of the most important figures in the development of classical liberal political thought, advocating for individual freedom, representative government, and social reform. His works on ethics, economics, and politics continue to be studied and debated by scholars and students around the world.

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What factors helped determine the direction and frequency of migration for hunter-gatherer populations?

Availability of fresh water
Each group's size and the ability to run over long distances
The arrival of imperial armies and other invading forces
The movement of game and the seasonal growth of plants
The shifting of climate patterns

Answers

Answer:

The movement of game and the seasonal growth of plants.

Explanation:

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