What is the wavelength in pm of an electron traveling at 60% the speed of light?

AI Thread Summary
To calculate the wavelength of an electron traveling at 60% the speed of light, the relevant equation is wavelength = h / (mv). The Planck constant (h) is known, and the velocity (v) is 60% of 3.00 x 10^8 m/s. The mass (m) of the electron is constant at approximately 9.11 x 10^-31 kg, but relativistic effects must be considered at high speeds, which can alter the effective mass. Understanding the difference between invariant mass and relativistic mass is crucial for accurate calculations. The discussion emphasizes the importance of using the correct mass value when applying the formula.
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Homework Statement


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

Homework Equations



Wavelength = h / (mv)

The Attempt at a Solution


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.
 
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On the contrary, I am quite confident that the masses of electrons are always the same. It is the energy of electrons that changes.

The only time in which electrons may seem to have different masses in different questions are when an unfamiliar unit of measurement is used, or a different amount of significant figures is used. Nonetheless, the values should be relatively the same.
 


What is the equation for mass increase as a function of velocity? How much does the mass increase at 0.6c?
 


windwitch said:
On the contrary, I am quite confident that the masses of electrons are always the same.

Google invariant mass and relativistic mass.

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