Q.

A sinusoidal wave has an amplitude of 3cm. Time period is 1s. The wavelength is 1cm. And at x = 0, t=0 the particle is at its mean position & moving upwards. What is the equation of the wave if it is travelling along the positive x-axis?

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a

y = 3sin(2πx – 2πt)

b

y = 3sin(2πt – 2πx)

c

x = 3sin(2πt – 2πy)

d

y = 3cos(π + 2πt – 2πx)

answer is B.

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Detailed Solution

The wave number k = 2π/1 = 2π.The angular frequency w = 2π/1 = 2π.The particle at x=0, t=0 is moving up from its mean position, & the wave travels towards the positive x-axis so the equation will be:y = 3sin(2πt – 2πx).
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A sinusoidal wave has an amplitude of 3cm. Time period is 1s. The wavelength is 1cm. And at x = 0, t=0 the particle is at its mean position & moving upwards. What is the equation of the wave if it is travelling along the positive x-axis?