Worksheet: Converting between Wavelength and Frequency

In this worksheet, we will practice using the speed of light to convert between wavelengths and frequencies of electromagnetic waves.

Q1:

A uranium-237 nucleus decays, emitting a gamma ray with a wavelength of 5.96 pm. What is the frequency of the gamma ray?

  • A 9 . 1 9 × 1 0 Hz
  • B 5 . 0 3 × 1 0 Hz
  • C 8 . 7 6 × 1 0 Hz
  • D 4 . 0 2 × 1 0 Hz
  • E 1 . 6 8 × 1 0 Hz

Q2:

Microwave ovens use electromagnetic radiation with a frequency of 2.45 GHz to provide heat. What is the wavelength of this radiation?

Q3:

Chlorophyll strongly absorbs light with a wavelength 680 nm. What is the frequency of this light?

Q4:

Microwave ovens use electromagnetic radiation with a frequency of 2.45 GHz to provide heat. What is the energy per photon of this radiation?

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

Q5:

The atomic emission spectrum of rubidium contains lines at wavelengths of 780.0 nm and 424.4 nm. Calculate the difference in energy between these two lines.

  • A 2 . 1 3 4 × 1 0 J
  • B 3 . 2 2 0 × 1 0 J
  • C 2 . 5 4 7 × 1 0 J
  • D 3 . 5 5 6 × 1 0 J
  • E 2 . 9 2 1 × 1 0 J

Q6:

Calculate the energy of a photon with a wavelength of 614.5 nm.

Q7:

An FM radio station broadcasts at a frequency of 9 . 5 1 × 1 0 s−1. Calculate the wavelength of these radio waves.

Q8:

The combined energy of two photons is 3.42 eV. The wavelength of one photon is 599 nm. What is the frequency of the second photon?

Q9:

An FM radio station broadcasts at a frequency of 105.0 MHz. Calculate the wavelength of these radio waves.

Q10:

A sodium lamp emits light with a wavelength of 589 nm. Calculate the frequency of this light.

  • A 2 . 1 0 × 1 0 Hz
  • B 3 . 3 7 × 1 0 Hz
  • C 1 . 7 7 × 1 0 Hz
  • D 5 . 0 9 × 1 0 Hz
  • E 1 . 9 6 × 1 0 Hz

Q11:

A telephone signal is transmitted using radio waves with a frequency of 850 MHz. What is the wavelength of these radio waves?

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