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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 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

5πcm

B

π2cm

C

10πcm

D

2πcm

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The correct Answer is:c


Vmax=Aω=5A2π4=5
A=10πcm

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Updated on:21/07/2023

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  • Question 1 - Select One

    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.
    ocr_image
    Q. The velocity of propagation of the wave is ?

    A2cm/s
    B4cm/s
    C1cm/s
    D8cm/s
  • Question 1 - Select One

    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.
    ocr_image
    Q. Skecth of one wavelength of the wave (the portion between x=0 and x=20cm) at time t=0 is:

    Aocr_image
    Bocr_image
    Cocr_image
    Docr_image
  • Question 1 - Select One

    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.
    ocr_image
    Q. The transverse velocity of the particle at x=0 at t=5.0 s is ?

    A2cm/s
    B+2cm/s
    C+1.5cm/s
    D2.5cm/s
  • Question 1 - Select One

    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:
    ocr_image

    Ay=(4.0cm)sin(π10xπ5t),x in cm and t in sec.
    By=(4.0cm)sin(π10x+π5t),x in cm and t in sec
    Cy=(4.0cm)sin(π10xπ5t+π), x in cm and t in sec
    Dy=(4.0cm)cos(π10xπ5t+π),x in cm and t in sec
  • Question 1 - Select One

    A transverse sinusoidal wave moves along a string in the positive x-direction at a speed of 10cm/s. The wavelength of ythe wave is 0.5m and its amplitude is 10cm. At a particular time t, the snap-shot of the wave is shown in figure. The velocity of point P when its displacement is 5cm is -
    ocr_image

    A(a) 350ˆJm/s
    B(b) 350ˆJm/s
    C( c ) 350ˆim/s
    D(d) 350ˆim/s

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