(Check solution) Frequency of light after electron capture?

[NucEngMajor]

Homework Statement

An alpha particle: He++ captures an electron of a given kinetic energy. To conserve energy, it emits light, hf. How would one calculate the frequency?

Homework Equations

E=hf
En = (Z^2 *-13.6eV)/(n^2)

The Attempt at a Solution

Calculate En. Then KE = Photon + En. Solve for v given KE and En?

 

[mfb]

Calculate En. Then KE = Photon + En. Solve for v given KE and En?

Sure.
If the electron energy is high (or if the initial alpha particle is moving), you might want to consider the motion of the nucleus as well.