Worksheet: Photon Momentum

In this worksheet, we will practice calculating the momentum of a photon given its frequency or wavelength.

Q1:

What is the momentum of a gamma-ray photon with a wavelength of 4.00×10 m? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A1.66×10 kg⋅m/s
  • B1.66×10 kg⋅m/s
  • C1.66×10 kg⋅m/s
  • D1.66×10 kg⋅m/s
  • E1.66×10 kg⋅m/s

Q2:

What is the momentum of a photon that has a wavelength of 500 nm? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A1.33×10 kg⋅m/s
  • B1.33×10 kg⋅m/s
  • C1.33×10 kg⋅m/s
  • D1.33×10 kg⋅m/s
  • E1.33×10 kg⋅m/s

Q3:

A solar sail is a proposed method of spacecraft propulsion that uses the momentum of photons as a source of thrust. When photons hit the sail, they are absorbed and their momentum is transferred to the sail. If laser light with a wavelength of 200 nm is used to propel the sail, how many photons must hit the sail for it to gain 1 kg⋅m/s of momentum? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A1.01×10 photons
  • B1.01×10 photons
  • C3.02×10 photons
  • D7.54×10 photons
  • E3.02×10 photons

Q4:

A laser produces 4.00×10 photons, each with a frequency of 4.25×10 Hz. What magnitude of momentum does producing these photons impart on the laser? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

Q5:

What is the ratio of the momentum of a photon to its frequency? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A5.03×10 kg⋅m
  • B1.99×10 kg⋅m
  • C4.68×10 kg⋅m
  • D4.52×10 kg⋅m
  • E2.21×10 kg⋅m

Q6:

The the wavelength of a photon, the its momentum is. The the frequency of a photon, the its momentum is.

  • Ashorter, larger, lower, larger
  • Bshorter, smaller, higher, smaller
  • Clonger, larger, higher, larger
  • Dshorter, larger, higher, larger
  • Elonger, larger, higher, smaller

Q7:

What is the momentum of an ultraviolet photon with a frequency of 1.5 PHz? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A1.33×10 kg⋅m/s
  • B3.32×10 kg⋅m/s
  • C3.32×10 kg⋅m/s
  • D4.42×10 kg⋅m/s
  • E1.33×10 kg⋅m/s

Q8:

The momentum of a photon is to its wavelength and to its frequency.

  • Aproportional, proportional
  • Binversely proportional, equal
  • Cinversely proportional, proportional
  • Dinversely proportional, inversely proportional
  • Eproportional, inversely proportional

Q9:

A low-frequency radio wave has a frequency of 200 kHz. What is the momentum of a radio-wave photon with this frequency? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A3.32×10 kg⋅m/s
  • B4.42×10 kg⋅m/s
  • C4.42×10 kg⋅m/s
  • D3.02×10 kg⋅m/s
  • E3.32×10 kg⋅m/s

Q10:

What is the wavelength of a photon that has a momentum of 5.00×10 kg⋅m/s? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

Q11:

A photon has a momentum of 1.11×10 kg⋅m/s. What is the frequency of the photon? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to 3 significant figures.

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