January 15, 2025, 10:01:22 AM
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Topic: Calculate wavelength in pm associated with electron traveling 60% of the speed o  (Read 6766 times)

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Offline Lin

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Question:
Calculate the wavelength, in picometers, associated with an electron traveling 60.0% of the speed of light.

Attempt:
Wavelength = h / (mv)

I know the h value.
The v value I believe it is 60.0% of 3.00 x 10^8
But what is the m value? If the m value isn't given, then the equation can't be solved, can it?
Is there a specific number for the m value?

From the examples I have seem, the m for electrons are always different.

Please help. Thanks in advance.

Offline Schrödinger

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Use the equation that relates mass of electron (moving with some speed close/comparable to that of light) with its rest mass (9.11 x 10^-31 kg), v and c.

Then substitute value of m de-Broglie's equation.
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Offline Borek

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From the examples I have seem, the m for electrons are always different.

Mass of the non-moving electron (so called invariant mass) is always identical. However, for the moving particle - especially for very high speeds, comparable with c - mass depends for the speed and can be calculated by mutliplying invariant mass by Lorentz factor.
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