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How do you calcuate at what energy do a photon and an electron have the same de broglie wavelength?

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How do you calcuate at what energy do a photon and an electron have the same de broglie wavelength?

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Hootenanny

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HiHow do you calculate at what energy do a photon and an electron have the same de broglie wavelength?

I'm assuming that this is a homework question, in which case for future reference we have Homework & Coursework problems for such questions. Don't worry about it now, your thread will get moved there in due course.

Now for your question. What do you know about the de Broglie wavelength? How is it claculated?

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Hootenanny

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[tex]\lambda = \frac{hc}{pc} = \frac{hc}{\sqrt{T^2+2Tm_0c^2}}[/tex]

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Hootenanny

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There are no stupid questions

Anyway, it comes from the relativistic energy eqaution,

[tex]E^2 = \left(pc\right)^2 + \left(m_0c^2\right)^2[/tex]

Where

[tex]\lambda = \frac{hc}{pc} = \frac{hc}{\sqrt{E^2 - m_0^2c^4}}[/tex]

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Thanks for clarifying that, i think i do it now. :)

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