Final answer:
The wavelength of a neutron traveling at a given velocity can be calculated using the de Broglie wavelength formula. In this case, using the given mass and velocity, the wavelength of the neutron is approximately 3.07 x 10^-10 m.
Step-by-step explanation:
The wavelength of a moving particle can be calculated using the de Broglie wavelength formula: λ = h / p, where λ is the wavelength, h is the Planck constant (6.63 x 10-34 J·s), and p is the momentum of the particle.
In this case, the momentum of the neutron can be calculated using the formula: p = m * v, where m is the mass of the neutron (1.67 x 10-27 kg) and v is its velocity (6.5 x 104 m/s).
Substituting the values into the formulas, we can calculate the wavelength of the neutron:
λ = h / p = h / (m * v) = (6.63 x 10-34 J·s) / (1.67 x 10-27 kg * 6.5 x 104 m/s).
Simplifying the expression, we find that the wavelength of the neutron is approximately 3.07 x 10-10 m.