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Ratio of maximum particle velocity to wave velocity for a wave whose amplitude is in microns

The same question, asked 2 times: 22 Apr 2025 S1*, 19 Apr 2026 S2. Every wording below, oldest first.

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  1. Question 1

    22 Apr 2025 S1

    43
    The equation of wave is y=60sin⁡(1200t−6x)y= 60\sin(1200t- 6x), where ' yy ' is in micron, ' tt ' is in second and ' xx ' is in metre. The ratio of maximum particle velocity to the wave velocity of wave propagation is

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  2. Question 2

    19 Apr 2026 S2

    123
    The equation of a progressive wave is given by y=6cos⁡(100t−4x)y = 6\cos(100t - 4x) where yy is in μm\mu\mathrm{m}, xx in metre and tt in second. The ratio of the maximum particle velocity to the velocity of wave is

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