Question 1: Define the wave speed and write its standard formula involving frequency and wavelength.

Answer: Wave speed is the distance traveled by a wave per unit time, given by v = fλ, where v is wave speed, f is frequency, and λ is wavelength.

Question 2: Explain why the wave speed remains constant in a uniform medium even if the frequency changes.

Answer: In a uniform medium, wave speed is determined by the properties of the medium itself, not the frequency. Changing frequency does not affect the wave speed.

Question 1: A wave has a frequency of 50 Hz and a wavelength of 4 meters. Calculate its wave speed in meters per second.

Answer: Wave speed = 50 Hz × 4 m = 200 m/s

Question 2: If a wave travels at a speed of 330 m/s and its wavelength is 11 meters, find its frequency.

Answer: Frequency = 330 m/s ÷ 11 m = 30 Hz

Question 3: A wave has a speed of 300 m/s and a frequency of 60 Hz. What is its wavelength?

Answer: Wavelength = 300 m/s ÷ 60 Hz = 5 m

Question 1: Describe a simple experiment to demonstrate how wavelength affects wave speed in a string or rope. Include safety precautions.

Answer: To demonstrate, attach a rope to a fixed point and generate waves by flicking one end. Vary the length of the wavelength by adjusting the amplitude or frequency and observe the wave speed. Ensure the rope is securely held, avoid sharp pulls, and keep hands clear of the wave’s path to prevent injury.

Question 2: Identify the independent and dependent variables in an experiment measuring wave speed using different frequencies.

Answer: Independent variable: frequency; Dependent variable: wave speed

Question 1: A scientist records wave speeds in water at different temperatures. At 0°C, the wave speed is 1400 m/s; at 25°C, it is 1500 m/s. Explain what these data suggest about the relationship between water temperature and wave speed.

Answer: The data indicate that as water temperature increases, the wave speed also increases, suggesting a positive relationship likely due to changes in water density and elasticity with temperature.

Question 2: If a wave with a speed of 600 m/s and wavelength of 3 meters enters a different medium and slows to a speed of 300 m/s, what is the new wavelength assuming the frequency remains constant?

Answer: Original frequency = 600 m/s ÷ 3 m = 200 Hz; New wavelength = 300 m/s ÷ 200 Hz = 1.5 m

Question 1: Explain how understanding wave equations is important in designing communication technologies like radio and television broadcasting.

Answer: Wave equations help engineers determine the correct frequency and wavelength for transmitting signals efficiently over long distances, ensuring clear reception in communication devices.

Question 2: Describe how the concept of wave speed relates to the operation of ultrasonic medical imaging devices.

Answer: Ultrasonic devices rely on high-frequency sound waves; knowing the wave speed in body tissues helps accurately determine the distance to internal structures based on the time taken for echoes to return.