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Write the equation of a travelling wave from given data

This type of question, asked 2 times: 2021 Paper 8, 2 Apr 2025. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 8

    7
    A sound wave of frequency 245 Hz245\text{ }Hz travels with the speed of 300 ms−1300{\text{ }ms}^{- 1} along the positive xx-axis. Each point of the wave moves to and fro through a total distance of 6 cm6\text{ }cm. What will be the mathematical expression of this travelling wave?

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  2. Question 2

    2 Apr 2025

    81
    A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the xx- direction in 0.3 sec . The crest PP is at x=0x= 0 at t=0sect= 0sec and maximum displacement of the wave is 2 cm . Which equation correctly represents this wave ?

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