What frequency corresponds to a 1-wavelength length of 1872 ft?

What frequency corresponds to a 1-wavelength length of 1872 ft?

• A. 1872 ft
• B. 936 ft
• C. 312 ft
• D. 1260 ft

Answer: (A)

Wavelength and frequency are inversely related by f = c/λ, where c is the speed of light (about 3.00×10^8 m/s in free space). Convert the given wavelength to meters: 1872 ft × 0.3048 m/ft ≈ 570.6 m. Then the frequency is f ≈ (3.00×10^8 m/s) / 570.6 m ≈ 5.25×10^5 Hz, i.e., about 525 kHz. The numbers in the options are frequencies expressed as feet, not frequencies, so they don’t match the required frequency. The key idea is converting units and applying f = c/λ to get the frequency.

Wavelength and frequency are inversely related by f = c/λ, where c is the speed of light (about 3.00×10^8 m/s in free space). Convert the given wavelength to meters: 1872 ft × 0.3048 m/ft ≈ 570.6 m. Then the frequency is f ≈ (3.00×10^8 m/s) / 570.6 m ≈ 5.25×10^5 Hz, i.e., about 525 kHz. The numbers in the options are frequencies expressed as feet, not frequencies, so they don’t match the required frequency. The key idea is converting units and applying f = c/λ to get the frequency.