Verifying Answers to Questions on Test - 65 Characters

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SUMMARY

The discussion centers on verifying answers related to physics concepts and equations encountered during a test. The user correctly identifies the formula for minimum y resolution of a satellite's circular aperture as sin(theta) = 1.22 * wavelength/D, where theta is the angle, wavelength is the light wavelength, and D is the aperture diameter. Additionally, the user accurately applies the relativistic velocity addition formula (U + V)/(1 + (uv/c^2)) to determine the probe's speed relative to Earth. Finally, the user confirms that reducing the confinement length L of a quantum particle to L/2 results in a quadrupling of energy.

PREREQUISITES
  • Understanding of basic optics, specifically satellite resolution
  • Familiarity with relativistic physics and velocity addition
  • Knowledge of quantum mechanics, particularly energy quantization
  • Experience with LaTeX for typesetting scientific documents
NEXT STEPS
  • Research the principles of satellite imaging and resolution calculations
  • Study the relativistic velocity addition formula in depth
  • Explore quantum mechanics concepts, especially energy levels in confined systems
  • Learn to use Texmaker for compiling LaTeX code efficiently
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Students in physics, educators teaching advanced science concepts, and anyone interested in verifying scientific equations and using LaTeX for documentation.

Pengwuino
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lol just kidding but i do need some verification on some stuff.

I just finished taking a test and i wanted to know if i was right on a few things.

If you have a satellite with a circular aperature and you want to know the minimum y resolution, you use sin theta = 1.22 wavelength/D right? Theta being the angle from the satellite to the ground and the wavelength being the wavelength of light being used and D being the diameter of the aperature right?

Also uhm... there was a question that you have the stationary planet earth, a space ship, and a probe. The spaceship is going .5c relative to the Earth and the probe flies off at .75 relative to the space ship. If you wanted to find the probes speed in relationship to the earth, the equation to use was (U + V)/(1+ (uv/c^2)) right? By the way, anyone know a program to compile latex code because someone said there's a program that will allow you to easily compile formulas and paste them in or something instead of having to write everything out piece by piece.

Also uhm... if a quantum particle is in a confined space of 0<x<L and you decrease L by 2 (to get L/2), the energy would quadruple right?

I felt like i did great on my test and i just want to see if i should expect a corrosponding grade lol.
 
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Yes, your answers to the questions are correct. As for programs to compile latex code, there are many options available online. Try searching for "latex compiler" and you should find plenty of choices.
 



It's always a good idea to verify your answers on a test! Yes, your equations and logic seem correct. As for compiling latex code, I recommend checking out Texmaker. And as for the quantum particle question, decreasing L to L/2 would actually quadruple the energy. Good luck on your grade!
 

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