Compton effect photo scatterred

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SUMMARY

The discussion centers on calculating the maximum energy loss of a photon with a wavelength of 29 pm when scattered by a stationary electron. The relevant equations include the energy conservation equation \(E_i = E_f + KE\) and the Compton wavelength shift formula \(\Delta E = h(c/\Delta \lambda)\). The user initially calculated the final wavelength as \(4.854212 \times 10^{-12} m\) and derived an energy loss of \(4.095 \times 10^{-14} J\). After some confusion regarding the conversion to electronvolts, the user confirmed they found the correct solution.

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negation
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Homework Statement



A photon of wavelength 29 pm is scattered by a stationary electron. What is the maximum possible energy loss of the photon?
(mass of electron = 9.11 × 10-31 kg, h = 6.626 × 10^-34 J · s, c = 3.00 × 10^8 m/s)



The Attempt at a Solution



After an hour or so, I'm not getting the right answer.

29pm = 29x10-11m

Ei = Ef + KE

Ei - Ef = ΔE = h(c/Δλ)

I set Θ = 180 and worked out

λf = (h/mec)(1-cosΘ) + λi =
4.854212x10-12m


ΔE = 6.626x10-34 (3x108/4.854212x10-12)
= 4.095x10-14 j

to convert to eV, i divided the above by 1.6 x10-16 but it doesn't give me the correct answer.
 
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negation said:

Homework Statement



A photon of wavelength 29 pm is scattered by a stationary electron. What is the maximum possible energy loss of the photon?
(mass of electron = 9.11 × 10-31 kg, h = 6.626 × 10^-34 J · s, c = 3.00 × 10^8 m/s)



The Attempt at a Solution



After an hour or so, I'm not getting the right answer.

29pm = 29x10-11m

Ei = Ef + KE

Ei - Ef = ΔE = h(c/Δλ)

I set Θ = 180 and worked out

λf = (h/mec)(1-cosΘ) + λi =
4.854212x10-12m


ΔE = 6.626x10-34 (3x108/4.854212x10-12)
= 4.095x10-14 j

to convert to eV, i divided the above by 1.6 x10-16 but it doesn't give me the correct answer.

Edit: I have it now.
 
Hi, could you post your step by step solution? I cannot seem to get the answer
 
bababong said:
Hi, could you post your step by step solution? I cannot seem to get the answer
Edit: I got it.
 

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