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STALIN [3.7K]
3 years ago
10

the probability density for a particle in a box is an oscillatory function even for very large energies. Explain how the classic

al limit of a constant probability density that is independent of position is achieved
Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

This is achieved for the specific case when high quantum number with low resolution is present.

Step-by-step explanation:

In Quantum Mechanics, the probability density defines the region in which the  likelihood of finding the particle is most.

Now for the particle in the box, the probability density is also dependent on resolution as well so for large quantum number with small resolution, the oscillations will be densely packed and thus indicating in the formation of a constant probability density throughout similar to that of classical approach.

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kenny6666 [7]

Answer:

f(x) = 5 \tan(x +  \frac{\pi}{2} ) (third option)

Step-by-step explanation:

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5 0
3 years ago
Michael's dad is 30 years of age. He is 2 years more than four times Michaels age m. Write and solve a two-step equation to dete
Ksenya-84 [330]

Answer:

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

Step-by-step explanation:

In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:

f = 30

Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:

f = 2 + 4*x

We can now find Michael's age, for that we need to isolate the "x" variable. We have:

f - 2 = 4*x

4*x = f - 2

x = (f-2)/4

x = (30 - 2)/4 = 7 years

The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.

7 0
4 years ago
Read 2 more answers
The Chen’s kitchen faucet has a leak. It drips 3 quarts of water everyday how many quarts of water does it drip in one week
GenaCL600 [577]
21 Quarts in one week
6 0
3 years ago
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If the roots of a quadratic equation are real,irrational,and unequal,the discriminant could have a value of
o-na [289]

Answer:

8

Step-by-step explanation:

The condition for the discriminant b² - 4ac is

If b² - 4ac > 0 then roots are real, irrational and unequal

If b² - 4ac > 0 and a perfect square, roots are real, rational and unequal.

Thus

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5 0
4 years ago
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Find the diamter of a circle if its area is 706.9mm²​
Masteriza [31]

Answer:

<h2>30 mm</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

<em>r</em><em> - radius</em>

<em />

We have

A=706.9\ mm^2

Substitute:

\pi r^2=706.9          <em>divide both sides by π</em>

r^2=\dfrac{706.9}{\pi}        <em>use π ≈ 3.14</em>

r^2\approx\dfrac{706.9}{3.14}\\\\r^2\approx225\to r=\sqrt{225}\\\\r= 15\ mm

The diameter <em>d = 2r</em>.

Therefore

d=2(15)=30\ mm

3 0
3 years ago
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