Which of the following statements about electromagnetic radiation is false?

• A. Radio waves have longer wavelengths than ultraviolet light.
• B. Gamma rays have higher energy than visible light.
• C. Infrared radiation has a higher frequency than X-rays.
• D. Visible light is part of the electromagnetic spectrum.

Answer: (C)

Verified step by step guidance

1. Recall the relationship between wavelength, frequency, and energy of electromagnetic radiation: frequency (\( \nu \)) and wavelength (\( \lambda \)) are inversely related by the equation \( c = \nu \lambda \), where \( c \) is the speed of light.
2. Understand that higher frequency corresponds to higher energy because energy is given by \( E = h \nu \), where \( h \) is Planck's constant.
3. Compare the wavelengths and frequencies of the given types of electromagnetic radiation: radio waves have longer wavelengths (and thus lower frequency) than ultraviolet light, so the first statement is true.
4. Gamma rays have much higher frequencies and energies than visible light, so the second statement is true.
5. Infrared radiation has lower frequency (and energy) than X-rays, so the statement 'Infrared radiation has a higher frequency than X-rays' is false, making it the correct answer to the question.