Suppose a future astronaut travels to a distance planet around a distant star. They collect rocks for dating the age of the planet and system. The astronaut compares the abundance of a certain radioactive element (half life of element = 500 million years) in the collected rocks to the abundance of the same element in a newly formed rock. They measure that there are 1/16th the number of radioactive atoms in the collected sample. How old is this planet?
a. 8 billion years old.
b. 4 billion years old.
c. 1 billion years old.
d. 2 billion years old.
e. 16 billion years old.

Answers

Answer 1

Answer:

The correct option is d

d. 2 billion years old.

Explanation:

The general formula to for the half life on an element is given as:

[tex]N(t)=N_o~ (\frac{1}{2})^{\frac{t}{t(1/2)}}[/tex]

Where

N(t) = Quantity of the substance remaining.

N(o) = Quantity of the substance which was initially present

t = time elapsed

t(1/2) = half life of the substance

In this question, we have to find t using the above formula, where

N(t) = 1/16

N(o) = 1

t(1/2) = 500

Substitute in the given formula:

[tex]1=\frac{1}{16}~ (\frac{1}{2})^{\frac{t}{500}}\\\text{Solve the equation for t}\\t = 2000[/tex]

Hence, the time planet has been into existence, or how old the planet is:

t = 2000 million years

or

t = 2 billion years


Related Questions

Explain how, in late winter, with snow covered ground and a southeasterly wind, advection fog could develop at Atlanta’s International Airport (located in the US Southeast, over 200 miles from the ocean) to create low visibility and flight delays.

Answers

Answer:

In late winter with snow covered ground and a southeasterly wind advection fog could develop at Atlanta’s International Airport (located in the US Southeast, over 200 miles from the ocean) to create low visibility and flight delays. This is because when warmer air from the ocean moves to the land surfaces where the Atlanta’s International Airport is built on, it comes in contact with it .

When the air cools, the temperature reduces to the dew point temperature. This allows for increase in saturation levels necessary in the production of fogs.

Which of the following is an example of the effect on human life of the
processes within Earth's water system (the hydrosphere)?

Answers

Answer:

The hydrosphere provides humans with water. When runoff from precipitation happens, plants and animals can grow and produce food and resources for humans to use.

Explanation:

Q4 please for a branliest answer

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Answer:

q no .5

ans= because as they are found in the shothern part of world where there is alots of rainfall . as there is hot climatic condition , receives more rainfall and due to plain land the waters also gets stored in underground so, they remain evergreeen.

hope it will help u..

which air mass is likely to form over Victoria Island in northern Canada and over Greenland in January and what would its characteristics be

Answers

Answer:

Continental polar air mass.

Explanation:

The northern parts of Canada are those areas that lie in the arctic circle and covers about 40% of Canada's land area. A total area of 3,535,263 km sq. The air is dry and cold throughout the region.  In summer months the temperature is about 7.2 degrees. The continental polar air mass moves don from the polar regions and influences the temperatures of northern America.

Imagine that you live in a coastal community in a region prone to earthquakes; you are a board member of your regional electrical utility. The utility is considering constructing a nuclear power plant 10 miles up the coast from your town. Some of your fellow citizens support the project because it will bring employment to the region and provide a carbon-free source of electricity. However, some residents fear a repeat of the events of 2011 in northeastern Japan if there should be a significant earthquake along one of the onshore or offshore faults.

Required:
List three specific pieces of information that you would insist on obtaining from geologists and other scientists before casting your vote on the project."

Answers

Answer:

1. Will power plant building be earthquake proof?

2. Will the chemicals placed in the power plant be enough secure that it does not leak or are prone to any explosion?

3. What are the chances of the site facing an earthquake?

Explanation:

1. Will power plant building be earthquake proof?

The building should be secure for the scientists working there and for the chemicals placed in there, if the site faces an earthquake an earthquake building may collapse and can result in explosions of the chemicals.

2. Will the chemicals placed in the power plant be enough secure that it does not leak or are prone to any explosion?

The chemicals placed in the power plant needs to be secured in a place where no unauthenticated entrance is allowed and if any earthquake hits the chemicals do not spill out or mix up which may result in explosions.

3. What are the chances of the site facing an earthquake?

Having a probability study before constructing a power plant is important, a complete chart should be made which shows the probability of this site hitting earthquake this study may be based on past results.

Which very young geographic feature will look like Kilauea in the most distant future, a few million years from now?
Select one:
a. Kauai
b. Mauna Kea
c. Maui
d. Mauna Loa
e. Lo’ihi
f. O’ahu

Answers

Answer:

b. Mauna Kea

Explanation:

Kilauea is an active mountain on Hawaii island and has an elevation of 1,247 meters. Mauna Kea is a dormant volcano on Hawaii island and is the highest point in Hawaii having a peak of 4,207.3 meters.  It used to be an active shield volcano and has viscous lava and late volcanism has also given it a rough appearance amount the forever kea is a fourth and active hotspot.

what has amazing mountain landscapes with rapidly melting glaciers, tropical savannas for world-class safaris, beaches, and even deserts.

Answers

Answer:

Tanzania is home to Mount Kilimanjaro which is the highest point in Africa.  

Explanation:

However, the lower latitudes mean that glaciers and tropical savannas easily fuse. Tanzania is home to some of the most popular national parks and natural attractions in Africa, including the majestic Kilimanjaro Mountain.

Tanzania is a country in East Africa noted for its vast desert areas. They include the Everglades National Park plains, a safari hotbed inhabited by game "big five" (anteater, lion, cheetah, bull, wildebeest), and safari National Park, host to the tallest peak in Africa.

Match the definition to the appropriate term: A line in which two plates move in opposite directions from one another. Answer 1 Choose... A line in which one oceanic plate subducts underneath another oceanic plate. Answer 2 Choose... A line in which two plates slide horizontally past each other. Answer 3 Choose... A line in which an an oceanic plate subducts underneath a continental plate. Answer 4 Choose... A line at which a continental collision occurs.

Answers

Answers:

- A line in which two plates move in opposite directions from another is known as a divergent plate boundary.

- A line in which one oceanic plate subducts underneath another oceanic plate is called an ocean-ocean convergent plate boundary.

-A line in which two plates slide horizontally past each other is called a transform-fault boundary.

-A line in which an oceanic plate subducts underneath a continental plate is an ocean-continent convergence.

-A line at which a continental collision occurs is known as the continent-continent convergence boundary.

I hope this helps you. Please mark as brainliest:)))

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