An electron traveling at a speed of

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Homework Help Overview

The problem involves an electron traveling at a high speed that strikes a target in an x-ray tube, resulting in a deceleration and the emission of an x-ray photon. The objective is to determine the wavelength of the emitted x-ray.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to manipulate equations related to energy and wavelength but expresses uncertainty about isolating the wavelength as the only unknown. Some participants question the correctness of the formulas being used and suggest finding the kinetic energy of the electron first.

Discussion Status

Participants are exploring different approaches to find the wavelength, with some providing hints and others questioning the validity of certain equations. There is an emphasis on not doing the original poster's work for them, indicating a focus on guiding understanding rather than providing direct answers.

Contextual Notes

There is a mention of dimensional analysis indicating potential issues with the proposed equations. The discussion reflects a need for clarity on the relationships between energy, speed, and wavelength in the context of electromagnetic waves.

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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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