Light as a particle/ compton effect, conservation of energy and momentum

AI Thread Summary
The discussion revolves around solving problems related to photon interactions with electrons and other particles, focusing on energy and momentum conservation. Participants are attempting to calculate the final energy of a photon after a collision, the period of light, the velocity of a helium nucleus post-collision, and the frequency of an electron based on its speed. There are challenges in relating photon momentum to time and in applying conservation laws correctly for various scenarios. Some participants express confusion about the calculations and the application of relevant equations, indicating a need for clearer connections between concepts. Overall, the thread highlights the complexities of photon-particle interactions and the importance of understanding conservation principles in physics.
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Homework Statement



1. A photon with an initial energy of 33eV collides with an electron. If the speed of the electron after the collision is 4.56*10^5m/s the final energy of the photon is? [32.4eV]

2. Photons that compose a monochromatic beam of light each have a momentum of 1.50*10^-28 kgm/s. The period of this light [1.47*10^-14s]

3. an xray photon of wavelength .010nm strikes a helium nucleus (alpha particle) and bounces straight back. If the helium nucleus was originally at rest, calculate its velocity after interacting with the x-ray [2*104m/s]

4. A photon moving in an easterly direction with an energy of 6.21 *10^-15 J collides with an electron and scatters at an angle of 30 W of S. What is the velocity of the electron after the collision? [3.74 *10^7m/s [28 N of E]]

5. Calculate the frequency of an electron that has a speed of 9.2*10^5m/s [1.16*10^15hz]

Homework Equations



e=hf
E=1/2mv^2
conservation of momentum/energy
p=mv or h/lambda

The Attempt at a Solution



1.Energy of photon before = energy of electron after + energy of photon after.
energy of photon after = energy of photon before - energy of electron after

Ea = 33eV - (1/2 (9.11*10^-31) (4.56*10^5)^2)

i get 33eV seeing as how the energy of the electron is 9.47*10^-20 very small i can see why, what did i do wrong? this is my attempt maybe i did the whole thing wrong?2. I have no idea how to relate momentum of a photon (p=h/lambda) to time, no velocity some help here?

3. Is this conservation of energy? I tried hf=1/2mv^2 , but it didnt make sense and didnt work when you solve for v.

4. Am i not missing something in this question for conservation of energy i believe i don't have enough information, or at least i can't get it.

5. lambda = h/mv
lambda =(6.63*10^-34)/(9.11*10^-31)(9.2*10^5) =7.910 *10^-10 m

f = c/lambda = 3.79*10^17

i don't where else to get frequncy.. can't use Ek=hf
 
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