Progressive Waves

Q1. Which of the following best describes the amplitude of a progressive wave?

Multiple Choice · 1 point

• · The distance between two successive crests
• · The maximum displacement of a particle from its equilibrium position
• · The number of complete oscillations per second
• · The speed at which energy is transferred through the medium

Q2. A wave has a frequency of 250 Hz. What is its period?

Multiple Choice · 1 point

• · 250 s
• · 0.04 s
• · 0.004 s
• · 2500 s

Q3. A wave travels at 340 m/s with a wavelength of 0.85 m. What is its frequency?

Multiple Choice · 1 point

• · 289 Hz
• · 400 Hz
• · 0.0025 Hz
• · 28.9 Hz

Q4. Two points on a progressive wave are separated by exactly one full wavelength. What is the phase difference between them?

Multiple Choice · 1 point

• · π radians
• · π/2 radians
• · 2π radians
• · 0 radians

Q5. Two particles on a progressive wave are separated by half a wavelength. What is their phase difference expressed as a fraction of a cycle?

Multiple Choice · 1 point

• · 1 cycle
• · 1/4 cycle
• · 1/2 cycle
• · 1/3 cycle

Q6. Which statement correctly describes how particles of the medium behave in a progressive wave?

Multiple Choice · 1 point

• · All particles oscillate in phase with each other
• · Particles oscillate about their equilibrium positions with a phase lag that increases with distance from the source
• · Particles move permanently in the direction of wave propagation
• · Adjacent particles always have zero phase difference

Q7. A phase difference of 90° is equivalent to how many radians?

Multiple Choice · 1 point

• · π radians
• · π/4 radians
• · π/2 radians
• · 2π radians

Q8. The wavelength of a progressive wave is 12 cm. What is the phase difference, in radians, between two points that are 4 cm apart?

Multiple Choice · 1 point

• · π/3 radians
• · 2π/3 radians
• · π radians
• · π/6 radians

Q9. Which of the following correctly pairs a path difference with its corresponding phase difference?

Multiple Choice · 1 point

• · λ/4 → π radians
• · λ/2 → π radians
• · λ → π radians
• · 3λ/4 → π radians

Q10. A particle in a medium completes 30 full oscillations in 0.5 seconds as a wave passes through. What is the wave's frequency?

Multiple Choice · 1 point

• · 15 Hz
• · 30 Hz
• · 60 Hz
• · 0.017 Hz

Q11. Which of the following statements about wave speed in a progressive wave is correct?

Multiple Choice · 1 point

• · Wave speed depends on the amplitude of the wave
• · Wave speed depends only on the medium through which the wave travels
• · Wave speed increases as frequency increases
• · Wave speed and particle speed are the same quantity

Q12. Arrange the following phase differences in ascending order of magnitude (smallest first).

Ordering · 2 points

• 1. π/4 radians
• 2. 1/2 cycle
• 3. 270°
• 4. 2π radians

Q13. The wave equation is c = ____, where c is wave speed, f is frequency, and λ is wavelength. The period of a wave is related to its frequency by T = ____. A phase difference of one full cycle is equal to ____ radians.

Fill In Blanks · 3 points

• · fλ
• · 1/f
• · 2π
• · f/λ
• · π
• · λ/f

Q14. Two particles X and Y on a progressive wave are 9 cm apart and the wavelength is 12 cm. What is the phase difference between X and Y in degrees?

Multiple Choice · 1 point

• · 90°
• · 180°
• · 270°
• · 360°

Q15. A radio wave has a frequency of 98.4 MHz. Using c = 3.00 × 10⁸ m/s, which of the following is the correct wavelength?

Multiple Choice · 1 point

• · 0.305 m
• · 3.05 m
• · 30.5 m
• · 305 m