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 . 0 0 × 1 0 m? Use a value of 6 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 1 . 6 6 × 1 0 kg⋅m/s
  • B 1 . 6 6 × 1 0 kg⋅m/s
  • C 1 . 6 6 × 1 0 kg⋅m/s
  • D 1 . 6 6 × 1 0 kg⋅m/s
  • E 1 . 6 6 × 1 0 kg⋅m/s

Q2:

What is the momentum of a photon that has a wavelength of 500 nm? Use a value of 6 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 1 . 3 3 × 1 0 kg⋅m/s
  • B 1 . 3 3 × 1 0 kg⋅m/s
  • C 1 . 3 3 × 1 0 kg⋅m/s
  • D 1 . 3 3 × 1 0 kg⋅m/s
  • E 1 . 3 3 × 1 0 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 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 7 . 5 4 × 1 0 photons
  • B 3 . 0 2 × 1 0 photons
  • C 1 . 0 1 × 1 0 photons
  • D 1 . 0 1 × 1 0 photons
  • E 3 . 0 2 × 1 0 photons

Q4:

A laser produces 4 . 0 0 × 1 0 photons, each with a frequency of 4 . 2 5 × 1 0 Hz. What magnitude of momentum does producing these photons impart on the laser? Use a value of 6 . 6 3 × 1 0 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 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 5 . 0 3 × 1 0
  • B 4 . 6 8 × 1 0
  • C 4 . 5 2 × 1 0
  • D 2 . 2 1 × 1 0
  • E 1 . 9 9 × 1 0

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, larger, higher, larger
  • Clonger, larger, higher, smaller
  • Dlonger, larger, higher, larger
  • Eshorter, smaller, higher, smaller

Q7:

What is the momentum of an ultraviolet photon with a frequency of 1.5 PHz? Use a value of 6 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 3 . 3 2 × 1 0 kg⋅m/s
  • B 3 . 3 2 × 1 0 kg⋅m/s
  • C 1 . 3 3 × 1 0 kg⋅m/s
  • D 4 . 4 2 × 1 0 kg⋅m/s
  • E 1 . 3 3 × 1 0 kg⋅m/s

Q8:

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

  • Ainversely proportional, inversely proportional
  • Binversely proportional, proportional
  • Cinversely proportional, equal
  • Dproportional, inversely proportional
  • Eproportional, 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 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 3 . 3 2 × 1 0 kg⋅m/s
  • B 3 . 0 2 × 1 0 kg⋅m/s
  • C 4 . 4 2 × 1 0 kg⋅m/s
  • D 3 . 3 2 × 1 0 kg⋅m/s
  • E 4 . 4 2 × 1 0 kg⋅m/s

Q10:

What is the wavelength of a photon that has a momentum of 5 . 0 0 × 1 0 kg⋅m/s? Use a value of 6 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

  • A 0.754 nm
  • B 1.51 nm
  • C 0.663 nm
  • D 1.33 nm
  • E 2.65 nm

Q11:

A photon has a momentum of 1 . 1 1 × 1 0 kg⋅m/s. What is the frequency of the photon? Use a value of 6 . 6 3 × 1 0 J⋅s for the Planck constant. Give your answer to 3 significant figures.

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