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: Identify the given values. The frequency of the waves is f = 1.0 × 10^14 \, Hz. The speed of light is c = 3.0 × 10^8 \, m/s. Step 2: Use the wave equation to find the wavelength. The relationship between the speed of a wave (c), its frequency (f), and its wavelength () is given by: c = f To find the wavelength (), rearrange the formula: = (c)/(f) Step 3: Substitute the given values into the formula. = 3.0 × 10^8 \, m/s1.0 × 10^14 \, Hz Step 4: Calculate the wavelength. = (3.0)/(1.0) × 10^(8-14) \, m = 3.0 × 10^-6 \, m The wavelength of the signal is 3.0 × 10^-6 \, m.