An electron traveling at a speed of

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An electron traveling at 6.0 x 10^7 m/s strikes an x-ray tube target, decelerating to 1/4th of its speed and emitting an x-ray. To find the wavelength of the x-ray photon, the kinetic energy of the electron should first be calculated using the formula K.E = 1/2 m*v^2. The correct approach involves using the relationship between energy and wavelength, specifically lambda = (h*v)/K.E. However, participants emphasize that it's important for the original poster to work through the problem independently rather than having their calculations done for them. The discussion highlights the need for proper dimensional analysis and understanding of the equations involved.
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Homework Statement


An electron traveling at a speed of 6.0 x10^7 m/s. strikes the target of an x-ray tube. Upon impact, the electron decelerates to 1/4th of its original speed, emitting an x-ray in the process. What is the wavelength of the x-ray photon?

Homework Equations


I think I'm suppose to use the formula E=hf (eqn 1) and v=lambda*f (eqn 2)

The Attempt at a Solution


I manipulated both equations (eqn 1 and eqn 2) to get the formula E=(h*v)/(lambda), but that leaves me with two unknowns..when all I want is lambda to be the only unknown. I'm not sure how I would find the energy...and I'm not sure if I'm even using the correct formulas. Hopefully I'm on the right track?
 
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What you want is the wavelength of the X-ray - an EM wave. What is its speed ?
 
we can find the wavelength of the emitted x-ray photon. using

first find the kinetic energy of the electron using K.E = 1/2 m*v^2.
then apply the formula

lambda = (h*v)/K.E

it will give the answer for you.
 
praveenpp said:
we can find the wavelength of the emitted x-ray photon. using

first find the kinetic energy of the electron using K.E = 1/2 m*v^2.
then apply the formula

lambda = (h*v)/K.E

it will give the answer for you.

That is incorrect. Even a dimensional analysis shows that there is something wrong with that equation.

And please do not do the original poster's (OP's) work for them -- they are required to do the work themselves. You may provide hints and ask questions, in order to help them figure out the problem on their own.
 
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