Verifying Answers to Questions on Test - 65 Characters

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The discussion centers on verifying answers related to a recent test. The formulas for minimum y resolution using sin theta = 1.22 wavelength/D and the relativistic speed of a probe using (U + V)/(1 + (uv/c^2)) are confirmed as correct. Additionally, it is affirmed that reducing the confined space L by half would quadruple the energy of a quantum particle. Recommendations for LaTeX compilers include searching for options online, with Texmaker suggested as a viable choice. Overall, the participant feels confident about their performance on the test.
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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