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: Calculate the range of wavelengths. The baseband audio frequency range is 20 Hz to 20 kHz. The speed of electromagnetic waves (speed of light) c = 3 × 10^8 m/s. For the lower frequency f_1 = 20 Hz: _1 = (c)/(f_1) _1 = 3 × 10^8 m/s20 Hz _1 = 1.5 × 10^7 m = 15,000 km For the higher frequency f_2 = 20 kHz = 20 × 10^3 Hz: _2 = (c)/(f_2) _2 = 3 × 10^8 m/s20 × 10^3 Hz _2 = 1.5 × 10^4 m = 15 km The range of wavelength is 15 km to 15,000 km. Step 2: Comment on the implications for antenna requirements. Antennas are typically designed to be a significant fraction of the wavelength (e.g., ()/(2) or ()/(4)) for efficient transmission and reception of electromagnetic waves. The calculated wavelengths for the baseband audio frequency range are extremely large, spanning from 15 kilometers to 15,000 kilometers. Building physical antennas of such immense sizes is practically impossible. Therefore, baseband audio signals are not transmitted directly as electromagnetic waves. Instead, they are used to modulate higher-frequency carrier waves, which have much shorter and more manageable wavelengths, allowing for practical antenna sizes. That's 2 down. 3 left today — send the next one.