Doubling the frequency from 5 MHz to 10 MHz changes the 1-wavelength length from 187.2 ft to what value?

Doubling the frequency from 5 MHz to 10 MHz changes the 1-wavelength length from 187.2 ft to what value?

• A. 93.6 ft
• B. 374.4 ft
• C. 187.2 ft
• D. 62.4 ft

Answer: (A)

Wavelength scales inversely with frequency for a wave traveling in a given medium. The relationship is λ = c / f, so when frequency doubles, the wavelength halves. If the original one-wavelength length is 187.2 ft at 5 MHz, increasing to 10 MHz (double the frequency) makes the wavelength 187.2 ft / 2 = 93.6 ft. The other options would correspond to different frequency changes (longer wavelength for lower frequency, or much shorter wavelength for a larger increase in frequency), which isn’t the case here.

Wavelength scales inversely with frequency for a wave traveling in a given medium. The relationship is λ = c / f, so when frequency doubles, the wavelength halves. If the original one-wavelength length is 187.2 ft at 5 MHz, increasing to 10 MHz (double the frequency) makes the wavelength 187.2 ft / 2 = 93.6 ft. The other options would correspond to different frequency changes (longer wavelength for lower frequency, or much shorter wavelength for a larger increase in frequency), which isn’t the case here.