5. How are the frequency and period of a wave related? 6. What is the period of the wave motion for a wave with a frequency of 0.50 kHz ? (Watch units.) Level 4 7. Are radio waves sound waves? Explain.

The frequency and period of a wave are inversely related, which means as one increases, the other decreases. More precisely, the frequency (f) is the number of cycles per second, while the period (T) is the duration of one complete cycle. The relationship can be expressed as T = 1/f. So, if you double the frequency, the period halves—talk about a dance of opposites! To find the period of a wave with a frequency of 0.50 kHz, you can convert the frequency into hertz: 0.50 kHz = 500 Hz. Now plug it into the formula T = 1/f, giving you T = 1/500 = 0.002 seconds or 2 milliseconds. That's how long it takes for one cycle of the wave to complete—pretty neat, right? Radio waves and sound waves are fundamentally different types of waves. While sound waves require a medium—like air or water—to travel through, radio waves are electromagnetic waves that can travel through the vacuum of space. This means radio waves are used to transmit signals over long distances, including through space, while sound only travels where there's something to carry it, like air. So the next time you listen to the radio, remember: you're tuning into the invisible magic of electromagnetic waves!