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p=h/lambda.we can prove p=mv experimentally.but how can we prove the second one experimentally?

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- Thread starter Kehsibashok
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- #1

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p=h/lambda.we can prove p=mv experimentally.but how can we prove the second one experimentally?

- #2

Doc Al

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p = mv is only useful for massive particles at relatively low speeds. For photons, you'll need the relativistic energy-momentum relation: Energy–momentum relation

p=h/lambda.we can prove p=mv experimentally.but how can we prove the second one experimentally?

- #3

UltrafastPED

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Momentum for electromagnetic radiation is determined by the momentum that it can impart to a mechanical system. The derivation follows from energy transport properties of radiation derived from Maxwell's equations - look up "Poynting Vector". The electromagnetic radiation momentum is found to be p=E/c; this relation also holds for the photon.

The equation p=h/lambda is the de Broglie relation; it is "derived" from the Planck relation (E=h*f), then divide by c to get E/c=p=h*f/c=h/lambda. Of course this is not a derivation - it merely shows that the two are algebraicly consistent. The experimental proof of the de Broglie relation can be seen experimentally: x-rays and electrons both give diffraction patterns in accordance with the above.

For more detail see http://hyperphysics.phy-astr.gsu.edu/hbase/debrog.html

- #4

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momentum of photon can be calculated by

→

p = E/c

where E is energy of photon

don't ask me any proof please because i'm an tenthee! studying for iit and was told this on a chemistry lecture and would study more on it guess in my research later

further proofs are encouraged and needed by me as my teacher said it would come later on:tongue:

and a kind request to UltrafastPED pls do no\umerically in separate lines or it's feels scrambled

- #5

UltrafastPED

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I prefer inline formulas, especially when there are chains of implication. This makes for more concise, "unscrambled" chains of logic.

BTW, for the proof of p=E/c see any text on electromagnetic field theory (upper level undergraduate physics); you will arrive at the Poynting vector sometime in the second semester!

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