Wave speed, frequency and wavelength

Grade 11 Science Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 5 × 10¹⁴ Hz, to the nearest tenth, Ari?

  2. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 7.5 × 10¹⁴ Hz, to the nearest tenth, Bo?

  3. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 4.6 × 10¹⁴ Hz, to the nearest tenth, Esme?

  4. Read this first

    Ripples in one water tank (example data)

    Frequency (Hz)Wavelength (cm)
    26
    34
    43
    6?
  5. Using the table, how are frequency and wavelength related in this tank, Luz?

    • Doubling one halves the other
    • They aren't related
    • They rise together
  6. Milo says a high-pitched sound travels faster through air than a low one. Agree or disagree?

    • Agree: a higher frequency makes a faster wave
    • Disagree: sounds in the same air share one speed
    • Agree: high notes have longer wavelengths
  7. Noah says shaking a rope faster makes its waves travel faster. Agree or disagree?

    • Agree: more shakes push the waves along faster
    • Agree: frequency and speed are the same thing
    • Disagree: the rope sets the speed
  8. Pia says light slows down in water, so its frequency drops too. Agree or disagree?

    • Agree: slower waves have lower frequencies
    • Agree: light can't enter water
    • Disagree: the frequency stays; the wavelength shrinks
  9. An FM radio station broadcasts at 100 MHz. Using c = 299,792,458 m/s, about what is its wavelength, Ren?

    • About 30 m
    • About 0.3 m
    • About 3 m
  10. In a vacuum, how do the speeds of radio waves, visible light and X-rays compare, Tala?

    • Radio waves are fastest
    • X-rays are fastest
    • They are the same
  11. Red light has a longer wavelength than blue light. Which has the higher frequency, Zee?

    • They are the same
    • Blue light
    • Red light
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Wave speed, frequency and wavelength

Answer Key - Grade 11 Science Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 5 × 10¹⁴ Hz, to the nearest tenth, Ari?

    599.6 nm
  2. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 7.5 × 10¹⁴ Hz, to the nearest tenth, Bo?

    399.7 nm
  3. Light travels at 299,792,458 m/s (NIST). What is the wavelength, in nanometers, of light with a frequency of 4.6 × 10¹⁴ Hz, to the nearest tenth, Esme?

    651.7 nm
  4. Read this first

    Ripples in one water tank (example data)

    Frequency (Hz)Wavelength (cm)
    26
    34
    43
    6?
  5. Using the table, how are frequency and wavelength related in this tank, Luz?

    • Doubling one halves the other
    • They aren't related
    • They rise together
  6. Milo says a high-pitched sound travels faster through air than a low one. Agree or disagree?

    • Agree: a higher frequency makes a faster wave
    • Disagree: sounds in the same air share one speed
    • Agree: high notes have longer wavelengths
  7. Noah says shaking a rope faster makes its waves travel faster. Agree or disagree?

    • Agree: more shakes push the waves along faster
    • Agree: frequency and speed are the same thing
    • Disagree: the rope sets the speed
  8. Pia says light slows down in water, so its frequency drops too. Agree or disagree?

    • Agree: slower waves have lower frequencies
    • Agree: light can't enter water
    • Disagree: the frequency stays; the wavelength shrinks
  9. An FM radio station broadcasts at 100 MHz. Using c = 299,792,458 m/s, about what is its wavelength, Ren?

    • About 30 m
    • About 0.3 m
    • About 3 m
  10. In a vacuum, how do the speeds of radio waves, visible light and X-rays compare, Tala?

    • Radio waves are fastest
    • X-rays are fastest
    • They are the same
  11. Red light has a longer wavelength than blue light. Which has the higher frequency, Zee?

    • They are the same
    • Blue light
    • Red light