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Write the equation of a simple harmonic ...

Write the equation of a simple harmonic progressive wave of amplitude 0.01 m and frequency 100 Hz travelling along the positive x-axis with a speed of 50 m/s.

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To write the equation of a simple harmonic progressive wave, we will follow these steps: ### Step 1: Identify the given parameters - Amplitude (A) = 0.01 m - Frequency (f) = 100 Hz - Speed (v) = 50 m/s ### Step 2: Calculate the angular frequency (ω) ...
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Knowledge Check

  • A simple harmoinc progressive wave of amplitude 0.05 m and frequency 5Hz is travelling along the positive direction of x-axis with a speed of 40 m/s, then the displacement of a particle at 30 m from origin in the time 1 second will be

    A
    0.05 m
    B
    0
    C
    0.02 m
    D
    0.025 m

  • The equation of a simple harmonic progressive wave having amplitude 5 mm, period 2 second and wavelength 2m and travelling along the positive direction of the x-axis is given by

    A
    `y = 5 sin 2pi ((t)/(2) - (x)/(2))`
    B
    `y = 5 xx 10^(-3) sin 2pi (2t -(x)/(2))`
    C
    `y = 5 xx 10^(-3) sin 2pi ((t)/(2) - (x)/(2))`
    D
    `y = 5 xx 10^(-3) sin pi (2t - x)`

  • The equation of a simple harmonic progressive wave along the negative direction of X-axis is

    A
    `y = a sin 2pi [(t)/(T) - (x)/(lamda)]`
    B
    `y = a sin (2pi nt)`
    C
    `y = a sin 2pi [(t)/(T) + (x)/(lamda)]`
    D
    `y = a cos 2pi [x]`

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    The equation of a simple harmonic progressive wave along the positive direction of X axis is given by

    The equation of simple harmonic progressive wave, having amplitude 5 xx 10^(-2)m , wavelength 30 cm, speed 50 m/s and travelling along the positive direction of the x-axis is given by

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    A simple harmonic progressive wave of frequency 100 Hz is travelling along the positive direction of the X axis. What is the propagation constant, if the velocity of the wave is 500 m/s ?

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