What is the wavelength of a neutron (m=1.67×10−27kg)(𝑚=1.67×10−27kg) traveling at 6.7×104 m/sm/s ?
Question
What is the wavelength of a neutron
(m = 1.67 × 10^{-27} kg)
traveling at 6.7 × 10^{4} m/s?
Solution
To find the wavelength of a neutron, we can use the de Broglie wavelength formula:
λ = h / (m * v)
where:
- λ is the wavelength,
- h is Planck's constant (6.62607004 × 10^-34 m^2 kg / s),
- m is the mass of the neutron (1.67×10^-27 kg), and
- v is the velocity of the neutron (6.7×10^4 m/s).
Substituting the given values into the formula, we get:
λ = (6.62607004 × 10^-34 m^2 kg / s) / ((1.67×10^-27 kg) * (6.7×10^4 m/s))
Solving this equation will give us the wavelength of the neutron.
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