A wave moving at 300 m/s with a frequency of 150 Hz has wavelength 2 m, and sound waves are longitudinal, so this IB sheet opens by dividing speed by frequency. The answers record constructive interference and the frequency 50 Hz from the later questions.
Key Takeaways
A 300 m/s wave with 150 Hz frequency has wavelength 2 m (Q1).
Sound waves are longitudinal (Q2).
Q6 records 50 Hz.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.A wave travels at 300 m/s with a frequency of 150 Hz. Its wavelength is
(a) 0.5 m(b) 2 m(c) 150 m(d) 45,000 m
2.Sound waves are
(a) transverse(b) longitudinal(c) both transverse and longitudinal(d) neither transverse nor longitudinal
3.Two waves of the same frequency arrive at a point exactly in phase. The interference at that point is
4.A sound wave of frequency 50 Hz travels at 340 m/s. Its wavelength is
(a) 6.8 m(b) 17 m(c) 0.147 m(d) 17,000 m
5.In a standing wave on a string, the distance between two adjacent nodes is equal to
(a) one quarter of the wavelength(b) half a wavelength(c) one wavelength(d) two wavelengths
6.A wave has a period of 0.02 s. Its frequency is
(a) 0.02 Hz(b) 50 Hz(c) 500 Hz(d) 5 Hz
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Define the wavelength of a wave.
8.State the difference between transverse and longitudinal waves and give one example of each.
9.State the equation that relates the speed, frequency and wavelength of a wave.
10.Explain what is meant by the diffraction of a wave.
11.State the condition for destructive interference of two waves of the same frequency at a point.
12.A wave passes from air into water and its speed increases. State what happens to its frequency and to its wavelength.
13.Define the period of a wave.
14.State what is meant by a standing wave.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.Using v = fλ, calculate the wavelength of a 680 Hz sound wave travelling at 340 m/s.
16.25 waves pass a fixed point in 5 s. Using f = N ÷ t and T = 1 ÷ f, calculate the frequency and the period.
17.20 water waves pass a point in 10 s and the wavelength is 0.5 m. Using v = fλ, calculate the speed of the waves.
18.A sound pulse is sent toward a wall and the echo is heard after 3 s. Using distance = vt ÷ 2 with v = 340 m/s, calculate the distance from the source to the wall.
19.A string of length 1.0 m vibrates in its fundamental mode at a frequency of 100 Hz. Using λ = 2L and v = fλ, calculate the speed of the wave on the string.
20.Water waves have a frequency of 0.5 Hz and a wavelength of 3 m. Using v = fλ, calculate their speed.
Answer Key
1. b) 2 m
2. b) longitudinal
3. a) constructive
4. a) 6.8 m
5. b) half a wavelength
6. b) 50 Hz
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
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11. Refer to solution guide.
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14. Refer to solution guide.
15. Refer to solution guide.
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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
What is the wavelength of a 300 m/s wave with a 150 Hz frequency?
2 m, option (b) in this worksheet (Q1).
What type of wave is sound?
Longitudinal, option (b) in this worksheet (Q2).
Which interference is recorded when waves add in phase?
Constructive, option (a) in this worksheet (Q3).
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