Question 1: Define the wave equation that relates the speed of a wave to its wavelength and frequency.

Answer: The wave equation is v = λ × f, where v is wave speed, λ is wavelength, and f is frequency.

Question 2: Explain in your own words what each component (v, λ, f) represents in the wave equation.

Answer: v is the wave speed in meters per second (m/s), λ is the wavelength in meters (m), and f is the frequency in hertz (Hz).

Question 1: A wave has a wavelength of 0.5 meters and a frequency of 10 Hz. What is its speed?

Answer: v = λ × f = 0.5 m × 10 Hz = 5 m/s

Question 2: If a wave travels at 300 m/s and its wavelength is 2 meters, what is its frequency?

Answer: f = v / λ = 300 m/s ÷ 2 m = 150 Hz

Question 1: Describe a simple experiment to determine the wavelength of a water wave in a ripple tank. List the variables you would control and measure.

Answer: Students can generate water waves in a ripple tank, measure the distance between successive crests (wavelength), control the frequency of the wave generator, and measure the wave speed by timing how long it takes for a wave to travel a known distance.

Question 2: Identify two safety precautions to observe when conducting wave experiments in a laboratory setting.

Answer: Avoid spilling water on electrical equipment and ensure the water source is stable to prevent slips and falls.

Question 1: A wave with a wavelength of 1.2 meters travels at a speed of 24 m/s. Calculate its frequency.

Answer: f = v / λ = 24 m/s ÷ 1.2 m = 20 Hz

Question 2: A certain radio wave has a frequency of 100 MHz. Convert this frequency to hertz and determine its wave speed if its wavelength is 3 meters.

Answer: Frequency in Hz: 100 MHz = 100,000,000 Hz. Wave speed: v = λ × f = 3 m × 100,000,000 Hz = 300,000,000 m/s.

Question 1: Describe how understanding wave properties and the wave equation is essential in designing communication devices such as radios and cell phones.

Answer: Designers use the wave equation to determine appropriate frequencies and wavelengths for transmitting signals. It helps in optimizing signal clarity, avoiding interference, and ensuring efficient transmission over distances.

Question 2: In medical imaging, such as ultrasound, how does the wave equation help improve imaging techniques?

Answer: It allows precise calculation of wave speed and wavelength, enabling accurate imaging of internal body structures by analyzing reflected ultrasound waves.