Step 1: Recall the wave nature of matter.
According to de Broglie hypothesis, every moving particle has an associated wavelength:
\[
\lambda = \frac{h}{p}
\]
Step 2: Identify experimental evidence.
The wave nature of matter is confirmed experimentally by diffraction and interference phenomena.
Step 3: Analyze the options.
(A) Electron momentum — property of particles, not wave evidence
(B) Electron diffraction — direct evidence of wave nature ✔
(C) Photon momentum — photons are already waves/particles
(D) Photon diffraction — supports wave nature of light, not matter
Step 4: Final conclusion.
Electron diffraction best supports the theory that matter has a wave nature.
\[
\boxed{\text{(B)}}
\]