The wave equation is v = fλ and sound waves are longitudinal, so this Year 12 sheet opens with the linking relation and the sound wave type. The answers record 100 m s⁻¹ and that intensity is proportional to the square of the amplitude.
Key Takeaways
The wave equation is v = fλ (Q1).
Sound waves are longitudinal (Q2).
Q6 records intensity proportional to the square of the amplitude.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The wave equation relating speed v, frequency f and wavelength λ is...
3.A wave has a frequency of 50 Hz and a wavelength of 2 m. Its speed is...
(a) 100 m s⁻¹(b) 25 m s⁻¹(c) 0.04 m s⁻¹(d) 52 m s⁻¹
4.For constructive interference between two coherent waves, the path difference should be...
(a) an odd number of half wavelengths(b) a whole number of wavelengths(c) any value(d) a quarter of a wavelength
5.Diffraction is most pronounced when the size of the gap is...
(a) much larger than the wavelength(b) about the same as the wavelength(c) much smaller than the frequency(d) equal to zero
6.The intensity of a wave is proportional to...
(a) the amplitude(b) the square of the amplitude(c) the square of the frequency only(d) the wavelength
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define the wavelength of a progressive wave.
8.Define the frequency of a wave and give its unit.
9.Distinguish between transverse and longitudinal waves, giving one example of each.
10.State the principle of superposition.
11.Define the amplitude of a wave.
12.What is a stationary wave?
13.State the condition for two coherent sources to produce constructive interference.
14.State how the intensity of a wave depends on its amplitude.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.A sound wave travels at 340 m s⁻¹ with a frequency of 500 Hz. Using v = fλ, calculate its wavelength.
16.A wave has a wavelength of 0.05 m and a speed of 2 m s⁻¹. Using f = v/λ, calculate its frequency and period.
17.A string of length 0.5 m fixed at both ends vibrates in its fundamental mode. Using λ = 2L, find the wavelength, and hence the frequency if the wave speed is 200 m s⁻¹.
18.Light of wavelength 5×10⁻⁷ m travels from air into glass of refractive index 1.5. Using v = c/n with c = 3×10⁸ m s⁻¹, calculate the speed and the wavelength of the light in the glass.
19.The amplitude of a sound wave is doubled. By what factor does the intensity increase?
20.In a double-slit experiment the slit separation is 1×10⁻³ m, the screen distance is 1 m and the wavelength is 5×10⁻⁷ m. Using x = λD/d, calculate the fringe spacing.
Answer Key
1. b) v = fλ
2. b) longitudinal
3. a) 100 m s⁻¹
4. b) a whole number of wavelengths
5. b) about the same as the wavelength
6. b) the square of the amplitude
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
13. Refer to solution guide.
14. Refer to solution guide.
15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet
People Also Ask
Which relation links wave speed, frequency and wavelength?
v = fλ, option (b) in this worksheet (Q1).
What type of wave is sound?
Longitudinal, option (b) in this worksheet (Q2).
What is wave intensity proportional to?
The square of the amplitude, option (b) in this worksheet (Q6).
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