If the speed is 1540 m/s and the wavelength is 1.0 mm, the frequency is approximately

If the speed is 1540 m/s and the wavelength is 1.0 mm, the frequency is approximately

• A. 1.54 Hz
• B. 1.54 kHz
• C. 1.54 MHz
• D. 1540 Hz

Answer: (C)

The relationship v = f × λ ties speed, frequency, and wavelength together. To find frequency, divide the speed by the wavelength, making sure units are consistent. Convert the wavelength to meters: 1.0 mm = 0.001 m. Then f = 1540 m/s ÷ 0.001 m = 1.54 × 10^6 Hz, which is 1.54 MHz. This matches the option expressed as 1.54 MHz. The other values would require different wavelengths (for example, a much smaller or larger frequency would need a wavelength far from 1.0 mm), so they don’t fit the given speed and wavelength.

The relationship v = f × λ ties speed, frequency, and wavelength together. To find frequency, divide the speed by the wavelength, making sure units are consistent.

Convert the wavelength to meters: 1.0 mm = 0.001 m. Then f = 1540 m/s ÷ 0.001 m = 1.54 × 10^6 Hz, which is 1.54 MHz. This matches the option expressed as 1.54 MHz.

The other values would require different wavelengths (for example, a much smaller or larger frequency would need a wavelength far from 1.0 mm), so they don’t fit the given speed and wavelength.