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The equation of a wave is given by Y = 5...

The equation of a wave is given by `Y = 5 sin 10pi(t - 0.01x)` along the x-axis. (All the quantities are expressed in SI units). The phase difference between the points separated by a distance of `10 m` along x-axis is

A

`(pi)/(2)`

B

`pi`

C

`2pi`

D

`(pi)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B

`Deltaphi = (2pi)/(lambda)Deltax = kDeltax`
`=(10pi xx 0.01)(10) = pi`
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Knowledge Check

  • The equation of a travelling wave is given as y=5sin10pi(t-Q.01x), along the x-axis . Here, all quantities are in SI units. The phase difference between the points separated by a distance of 10m alond x-axis is

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    `(x)/(2)`
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  • The equation of a wave is given by (all quantity expressed in S.I units) y=5sin10pi(t-0.01x) along the x-axis. The magnitude of phase difference between the points separated by a distance of 10 m along x-axis is

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    `pi//2`
    B
    `pi`
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    `2pi`
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    `pi//4`
  • The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

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