Explanation:
Below is an attachment containing the solution.
Answer:
C. It helps scientists detect dark matter.
Explanation:
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The area of the velocity time graph gives displacement of the body true or false?
The answer this is true.
Answer:
the energy difference between adjacent levels decreases as the quantum number increases
Explanation:
The energy levels of the hydrogen atom are given by the following formula:
![E=-E_0 \frac{1}{n^2}](https://tex.z-dn.net/?f=E%3D-E_0%20%5Cfrac%7B1%7D%7Bn%5E2%7D)
where
is a constant
n is the level number
We can write therefore the energy difference between adjacent levels as
![\Delta E=-13.6 eV (\frac{1}{n^2}-\frac{1}{(n+1)^2})](https://tex.z-dn.net/?f=%5CDelta%20E%3D-13.6%20eV%20%28%5Cfrac%7B1%7D%7Bn%5E2%7D-%5Cfrac%7B1%7D%7B%28n%2B1%29%5E2%7D%29)
We see that this difference decreases as the level number (n) increases. For example, the difference between the levels n=1 and n=2 is
![\Delta E=-13.6 eV(\frac{1}{1^2}-\frac{1}{2^2})=-13.6 eV(1-\frac{1}{4})=-13.6 eV(\frac{3}{4})=-10.2 eV](https://tex.z-dn.net/?f=%5CDelta%20E%3D-13.6%20eV%28%5Cfrac%7B1%7D%7B1%5E2%7D-%5Cfrac%7B1%7D%7B2%5E2%7D%29%3D-13.6%20eV%281-%5Cfrac%7B1%7D%7B4%7D%29%3D-13.6%20eV%28%5Cfrac%7B3%7D%7B4%7D%29%3D-10.2%20eV)
While the difference between the levels n=2 and n=3 is
![\Delta E=-13.6 eV(\frac{1}{2^2}-\frac{1}{3^2})=-13.6 eV(\frac{1}{4}-\frac{1}{9})=-13.6 eV(\frac{5}{36})=-1.9 eV](https://tex.z-dn.net/?f=%5CDelta%20E%3D-13.6%20eV%28%5Cfrac%7B1%7D%7B2%5E2%7D-%5Cfrac%7B1%7D%7B3%5E2%7D%29%3D-13.6%20eV%28%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7B1%7D%7B9%7D%29%3D-13.6%20eV%28%5Cfrac%7B5%7D%7B36%7D%29%3D-1.9%20eV)
And so on.
So, the energy difference between adjacent levels decreases as the quantum number increases.