De Broglie Equation

[Emily Mei 1B]

Would anyone be able to explain/go through the derivation of the De Broglie equation? I know we don't necessarily need to know it but it would help my understanding.

[Chem_Mod]

We will start with two fundamental equations
and
Next, we will set these equations equal to each other giving us

From there you can substitute c (speed of light) for v, because the De Broglie Equation applies to all matter. Finally, convert mv to p, because momentum is defined as
mass x velocity, and solve for h.

[Magdalena Palavecino 1A]

When do we use 1/2mv2 for Ek and when do we use de broglies equation for Ek?

[Chem_Mod]

De Broglie's equation relates wavelength with mass and velocity, not energy. E_k is defined by . If you're asking when do we use which when given velocity, then that depends on what you're given and whether you're trying to find wavelength or kinetic energy.