This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Step 1: Convert the frequency from kilohertz (KHz) to hertz (Hz). The given frequency is 2000 KHz. f = 2000 KHz = 2000 × 10^3 Hz = 2 × 10^6 Hz Step 2: Identify the speed of radio waves. Radio waves are electromagnetic waves, so they travel at the speed of light (c) in a vacuum. c = 3.00 × 10^8 m/s Step 3: Use the wave equation to calculate the wavelength. The relationship between speed, frequency, and wavelength is given by the formula: c = f To find the wavelength (), rearrange the formula: = (c)/(f) Substitute the values: = 3.00 × 10^8 m/s2 × 10^6 Hz = 3.00 × 10^8 m/s2 × 10^6 s^-1 = 1.5 × 10^(8-6) m = 1.5 × 10^2 m = 150 m The wavelength of the radio waves is 150 m. Last free one today — make it count tomorrow, or type /upgrade for unlimited.