Frequency 24.0 MHz yields a 1-wavelength length of how many feet?

Frequency 24.0 MHz yields a 1-wavelength length of how many feet?

• A. 39.0 ft
• B. 78.0 ft
• C. 19.5 ft
• D. 52.0 ft

Answer: (A)

Wavelength relates to how far a wave travels in one cycle, and in air the speed is essentially the speed of light. The rule is λ = c / f, where c is about 3.00 x 10^8 meters per second and f is the frequency in hertz. For 24.0 MHz, f = 24.0 x 10^6 Hz. So λ ≈ (3.00 x 10^8) / (24.0 x 10^6) = 12.5 meters. Converting to feet (1 meter ≈ 3.28084 feet) gives λ ≈ 12.5 x 3.28084 ≈ 41.0 feet. So the 1-wavelength length is about 41 feet. The closest option is 39.0 feet, which is why that choice is selected in this set.

Wavelength relates to how far a wave travels in one cycle, and in air the speed is essentially the speed of light. The rule is λ = c / f, where c is about 3.00 x 10^8 meters per second and f is the frequency in hertz.

For 24.0 MHz, f = 24.0 x 10^6 Hz. So λ ≈ (3.00 x 10^8) / (24.0 x 10^6) = 12.5 meters. Converting to feet (1 meter ≈ 3.28084 feet) gives λ ≈ 12.5 x 3.28084 ≈ 41.0 feet.

So the 1-wavelength length is about 41 feet. The closest option is 39.0 feet, which is why that choice is selected in this set.