Lesson Worksheet: The Quantization of Electromagnetic Radiation Physics • 9th Grade

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

Q1:

A laser emits 4×10 photons, each with a frequency of 6×10 Hz. What is the total energy radiated by the laser? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer to the nearest joule.

Q2:

What is the energy of a photon that has a wavelength of 400 nm? Use 6.63×10 J⋅s for the value of the Planck constant and 3.00×10 m/s for the value of the speed of light in free space. Give your answer in scientific notation to two decimal places.

  • A1.99×10 J
  • B6.23×10 J
  • C1.66×10 J
  • D4.97×10 J
  • E4.98×10 J

Q3:

What is the frequency of a photon that has an energy of 2.52×10 J? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer in scientific notation to two decimal places.

  • A1.90×10 Hz
  • B3.80×10 Hz
  • C1.1×10 Hz
  • D2.63×10 Hz
  • E1.95×10 Hz

Q4:

Photon A has a wavelength that is four times that of photon B. What is the ratio of the energy of photon A to the energy of photon B?

  • A2
  • B14
  • C12
  • D4
  • E1

Q5:

What is the difference in the energy of a blue photon, with a wavelength of 400 nm, and a red photon, with a wavelength of 700 nm? Use a value of 6.63×10 J⋅s for the value of the Planck constant and 3.00×10 m/s for the value of the speed of light in free space. Give your answer in joules in scientific notation to two decimal places.

  • A4.97×10 J
  • B2.13×10 J
  • C4.32×10 J
  • D2.84×10 J
  • E3.25×10 J

Q6:

What is the difference in the energy of a 2×10 Hz photon and a 5×10 Hz photon? Use a value of 6.63×10 J⋅s for the Planck constant. Give your answer in scientific notation to two decimal places.

  • A3.45×10 J
  • B6.24×10 J
  • C3.18×10 J
  • D3.32×10 J
  • E1.33×10 J

Q7:

What is the wavelength of a photon that has an energy of 2.97×10 J? Use 6.63×10 J⋅s for the value of the Planck constant and 3.00×10 m/s for the value of the speed of light in free space. Give your answer in metersin scientific notation to two decimal places.

  • A6.70×10 m
  • B1.49×10 m
  • C6.2×10 m
  • D9.98×10 m
  • E3.24×10 m

Q8:

Which of the following is the correct formula for the energy of a photon given its frequency, where represents the Planck constant and 𝑐 represents the speed of light?

  • A𝐸=𝑐𝑓
  • B𝐸=𝑓
  • C𝐸=𝑓
  • D𝐸=𝑐𝑓
  • E𝐸=𝑓

Q9:

What is the frequency of a photon that has an energy of 3.00 eV? Use 4.14×10 eV⋅s for the value of the Planck constant. Give your answer in hertz in scientific notation to two decimal places.

  • A6.98×10 Hz
  • B1.38×10 Hz
  • C3.25×10 Hz
  • D7.25×10 Hz
  • E5.32×10 Hz

Q10:

Photon 𝐴 has twice the frequency of photon 𝐵. What is the ratio of the energy of photon 𝐴 to the energy of photon 𝐵?

This lesson includes 17 additional questions for subscribers.

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