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The equetion of a wave travelling on a s...

The equetion of a wave travelling on a string is
`y = 4 sin(pi)/(2)(8t-(x)/(8))`
if x and y are in centimetres, then velocity of waves is

A

`64cms^(-1)" in "-x" direction"`

B

`32cms^(-1)" in "-x" direction"`

C

`32cms^(-1)" in "+x" direction"`

D

`64cms^(-1)" in "+x" direction"`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The equetion of a wave travelling on a string is y pi 4 sin(pi)/(2)(8t-(x)/(8)) if x and y are in centimetres, then velocity of waves is

    A
    `64 cm//s "in"-ve x-"direction"`
    B
    `32 cm//s "in"-ve x-"direction"`
    C
    `32 cm//s "in"+ve x-"direction"`
    D
    `64 cm//s "in"+ve x-"direction"`

  • The equation of a wave travelling on a string is y=4sin[(pi)/(2)(8t-(x)/(8))] , where x,y are in cm and t in second. They velocity of the wave is

    A
    `64cms^(-1)` in `-x` direction
    B
    `32cms^(-1)` in `-x` direction
    C
    `32cms^(-1)` in `+x` direction
    D
    `64cms^(-1)` in `+x` direction

  • The equation of a wave travelling on a string is y=8 sin [pi/2 (4t-x/16)] , where x, y are in cm and t in second. The velocity of the wave is

    A
    `256 cms^(-1)`, in -x direction
    B
    `32 cms^(-1)`, in -x direction
    C
    `32 cms^(-1)`, in +x direction
    D
    `64 cms^(-1)`, in +x direction

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