Worksheet: De Broglie Wavelengths

In this worksheet, we will practice deriving the de Broglie wavelength and calculating and interpreting its value for particles of known mass and velocity.

Q1:

Calculate the wavelength of an electron traveling at a velocity of 1.000×10 m/s.

  • A1.16×10 m
  • B7.27×10 m
  • C1.37×10 m
  • D6.04×10 m
  • E3.96×10 m

Q2:

What is the de Broglie wavelength of a 100 g baseball traveling at a velocity of 35.0 m/s?

  • A1.89×10 m
  • B1.9×10 m
  • C1.89×10 m
  • D1.89×10 m
  • E1.89×10 m

Q3:

An electron ()e has a mass of 9.10938×10 kg, and the mass of a proton (p) is 1.67262×10 kg. Assuming the electron and the proton move at the same speed of 300 m/s, which of the following is a true statement concerning the de Broglie wavelengths?

  • A𝜆=1,836𝜆pe
  • B𝜆=300𝜆pe
  • C𝜆=300𝜆ep
  • D𝜆=1,836𝜆ep

Q4:

Calculate the de Broglie wavelength for an electron moving at a speed of 4.800×10 m/s. Use 9.11×10 kg for the mass of an electron and 6.626×10 J⋅s for the Planck constant.

  • A1.38×10 m
  • B7.273×10 m
  • C1.52×10 m
  • D6.60×10 m

Q5:

Calculate the de Broglie wavelength of a 0.1400 kg baseball moving at a speed of 40.00 m/s. Use a value of 6.626×10 for Planck’s constant.

  • A1.657×10 m
  • B4.733×10 m
  • C1.183×10 m
  • D8.451×10 m

Q6:

An electron ()e has a mass of 9.10938×10 kg, and the mass of a proton (p) is 1.67262×10 kg. Assuming the electron and the proton move at the same speed of 500 m/s, which of the following is a true statement concerning the de Broglie wavelengths?

  • A𝜆>𝜆ep
  • B𝜆=𝜆ep
  • C𝜆<𝜆ep
  • D𝜆+𝜆=500epm

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