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A wave disturbance in a medium is descri...

A wave disturbance in a medium is described by `y(x,t) = 0.02 "cos"(50pit + (pi)/(2))"cos"(10pix)` where x and y are in metre and t is in second . Which of the following is correct ?

A

A displacement node occurs at x = 0.15 m

B

An antinode occurs at `x = 0.3 m`

C

The wavelength of the wave is 0.2 m

D

The speed of the wave is 5.0 m/s

Text Solution

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The correct Answer is:
A, B, C, D
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Knowledge Check

  • A wave disturbance in a medium is described by y(x, t) = 0.02 cos((50pit + (pi)/(2))cos(10pix) where x and y are in meter and t is in second

    A
    A node occurs at `x = 0.15 m`
    B
    A antinode occurs at `x = 0.3 m`
    C
    A speed wave is `5 ms^(-1)`
    D
    A wave lengthis `0.3 m`

  • The equation of a wave disturbance is given as y=0.02cos((pi)/(2)+50pit) cos(10pix) , where x an y are in metre and t in second. Choose the wrong statement.

    A
    Antinode occurs at x=0.3
    B
    The wavelength is 0.2m
    C
    The speed of the consituent is 4m/s
    D
    Node occurs at x=0.15m

  • The equation of the progressive wave is y = 3 sin[pi(t/3-x/5)+pi/4] , where x and y are in metre and time in second. Which of the following is correct.

    A
    Velocity `v = 1.5` m/s
    B
    Amplitude `A = 3` cm
    C
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    D
    Wavelength `lambda = 10 `m

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