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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?

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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.

This problem has been solved

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