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Answers
Answer:
i) 1:3
ii) 1:9
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i. Loudness depends on the square of the amplitude of the wave.
That is, loudness∝(amplitude)^2
Thus, when the ratio of amplitudes of the wave is 1:3, the loudness becomes 1:9.
ii. There are two main properties of a regular vibration - the amplitude and the frequency - which affect the way it sounds. Amplitude is the size of the vibration, and this determines how loud the sound is. Larger vibrations make a louder sound. Frequency is the speed of the vibration, and this determines the pitch of the sound. It is only useful or meaningful for musical sounds, where there is a strongly regular waveform.
Hence, if the pitch is the same for two waves then the frequency also remains the same. Therefore, the ratio of the frequencies is 1:1.