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Properties of waves

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Question 5

Waves can travel on surfaces, through media, or in a vacuum.

a.

The diagram shows the side-view of a wave travelling along a horizontal string. Each square on the grid represents 2 cm×2 cm2\text{ cm} \times 2\text{ cm}2 cm×2 cm.

A grid of squares, each representing 2 cm by 2 cm. A wave trace is shown on the grid. The central horizontal line of the grid is the equilibrium position. The wave curve starts at the left edge on the central line, rises to a peak that is 1 square high, falls back to the central line at 2 squares from the left, continues down to a trough that is 1 square deep, and returns to the central line at 4 squares from the left. This pattern of a full cycle every 4 squares repeats three times across the 12-square wide grid.

(i) State the wavelength of the wave shown.

[1]
b.

A second wave travels along the same string at the same speed. It has a frequency that is twice as high, and an amplitude that is half the size of the first wave. State the wavelength and the amplitude of this second wave.

[2]
c.

Two students design an experiment to determine the speed of sound in air over a distance of 150 m150\text{ m}150 m. One student has a pair of large wooden cymbals, and the other student has a stopwatch that measures to the nearest 0.01 s0.01\text{ s}0.01 s. Describe the procedure they should follow to obtain a reliable measurement for the speed of sound, and explain how they can minimize experimental errors.

[4]
d.

State the equation linking wave speed, frequency, and wavelength.

[1]
e.

The speed of electromagnetic waves in a vacuum is 3.0×108 m/s3.0 \times 10^8\text{ m/s}3.0×108 m/s. An FM radio station transmits a signal with a frequency of 95 MHz95\text{ MHz}95 MHz. Calculate the wavelength of these radio waves.

[3]
f.

An ultrasound wave and a radio wave have the same wavelength. Explain why they have vastly different frequencies.

[2]

Properties of waves Questions

  1. IGCSE
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  3. /Properties of waves