- #1
Von Neumann
- 101
- 4
Problem:
Determine the wavelength and frequency of the emitted x-rays when 100-keV electrons strike a target.
Solution:
Assuming all kinetic energy of electrons is used to produce the x-rays,
E_initial=E_final
K+m_0*c^2=hf+m_0*c^2
K=hf
K=hc/λ
=>λ=hc/K=(6.63x10^-34 Js)(3.00x10^8 m/s)/(1.60x10^-14 J) [because 100 keV =1.60x10^-14 J]
λ=0.12 Å
Also since K=hf,
f=K/h=(1.60x10^-14 J)/(6.63x10^-34 Js)=2.4x10^-19 Hz
Is this correct?
Determine the wavelength and frequency of the emitted x-rays when 100-keV electrons strike a target.
Solution:
Assuming all kinetic energy of electrons is used to produce the x-rays,
E_initial=E_final
K+m_0*c^2=hf+m_0*c^2
K=hf
K=hc/λ
=>λ=hc/K=(6.63x10^-34 Js)(3.00x10^8 m/s)/(1.60x10^-14 J) [because 100 keV =1.60x10^-14 J]
λ=0.12 Å
Also since K=hf,
f=K/h=(1.60x10^-14 J)/(6.63x10^-34 Js)=2.4x10^-19 Hz
Is this correct?