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A certain transvers sinusoidal wave of w...

A certain transvers sinusoidal wave of wavelength `20 cm` is moving in the positive `X` direction. The transverse velocitt of the particle at `x = 0` as a function of time is shonwn. The amplitude of the motion is equal to `(x)/(pi)` `("in " cm)`. Find `x` :

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Knowledge Check

  • A certain transverse sinusoidal wave of wavelength 20 cm is moving in the positive x direction. The transverse velocity of the particle at x=0 as a function of time is shown. The amplitude of the motion is:

    A
    `(5)/(pi)cm`
    B
    `(pi)/(2)cm`
    C
    `(10)/(pi)cm`
    D
    `2pi cm`

  • A transverse sinusoidal wave of wavelength 20 cm is moving along a string towards increasing x. the transverse displacement of the string particle at x=0 as a function of time is shown in figure. Q. The velocity of propagation of the wave is ?

    A
    2cm/s
    B
    4cm/s
    C
    1cm/s
    D
    8cm/s

  • A transverse sinusoidal wave of wavelength 20 cm is moving along a string towards increasing x. The transverse displacement of the string particle at as a function of time is shown in Figure. The equation of the wave with all the constants evaluated is:

    A
    `y=(4.0cm)sin((pi)/(10)x-(pi)/(5)t),x` in cm and t in sec.
    B
    `y=(4.0cm)sin((pi)/(10)x+(pi)/(5)t),x` in cm and t in sec
    C
    `y=(4.0cm)sin((pi)/(10)x-(pi)/(5)t+pi)`, x in cm and t in sec
    D
    `y=(4.0cm)cos((pi)/(10)x-(pi)/(5)t+pi),x` in cm and t in sec

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