12 Example 11.6

Particle Wavelength Comparison

Particle Wavelength Comparison

This simulation demonstrates the de Broglie wavelength comparison from Example 11.6, showing how a particle moving 3× faster than an electron with a wavelength ratio of 1.813×10⁻⁴ must have the mass of a proton or neutron.

1.0 × 10⁶ m/s
3.0×
Electron Wavelength: 7.28 × 10⁻¹⁰ m
Particle Wavelength: 1.32 × 10⁻¹³ m
Wavelength Ratio (λₚ/λₑ): 1.813 × 10⁻⁴
Calculated Particle Mass: 1.675 × 10⁻²⁷ kg

Particle Identification

The calculated mass of 1.675 × 10⁻²⁷ kg matches the known mass of:

  • Proton: 1.673 × 10⁻²⁷ kg
  • Neutron: 1.675 × 10⁻²⁷ kg

This confirms the particle is either a proton or neutron, as shown in Example 11.6.

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