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A wave in a string has an amplitude of 2...

A wave in a string has an amplitude of `2 cm`. The wave travels in the `+ve` direction of x axis with a speed of 1`28 ms^-1` and it is noted that `5` complete waves fit in `4 m` length of the string. The equation describing the wave is

A

`y = (0.02)m sin(7.85x – 1005t)`

B

`y = (0.02)m sin(7.85x + 1005t)`

C

`y = (0.02)m sin(15.7x – 2010t)`

D

`y = (0.02)m sin(15.7x + 2010t)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • A wave in a string has an amplitude of 2 cm. The wave travels in the position direction of x axis with a speed of 128 m/s and it is noted that 5 complete waves fit in 4 m length of the string. The equation describing the wave is

    A
    `y=(0.02) m sin (15.7 x- 2010t) `
    B
    `y=(0.02) m sin (15.7+ 2010 t) `
    C
    `y=(0.02) m sin (7.85 x - 1005 t) `
    D
    `y=(0.02) m sin ( 7.85 x + 1005 t)`

  • The amplitude of a wave produced in a string is 5 cm. The wave is moving along positive direction of X-axis with a speed of 150 m/s and 5 vibrations are completed in 3 m length of the string. The equation representing the wave will be

    A
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    B
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  • transverse simple harmonic wave is travelling on a string. The equation of the wave:

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    D
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