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A girl sitting on a beach counts six waves passing a buoy in 3.0 s. She measured the distance between the wave crests to be 1.5 meters. What is the speed of the waves the girl observed?​

Respuesta :

  • wavelength=1.5m
  • Time=3s

[tex]\\ \sf\longmapsto Frequency=\dfrac{1}{Time}=\dfrac{1}{3}=0.33s^{-1}[/tex]

Velocity be v

[tex]\\ \sf\longmapsto v=f\lambda[/tex]

[tex]\\ \sf\longmapsto V=0.33(1.5)[/tex]

[tex]\\ \sf\longmapsto V\approx 0.5ms^{-1}[/tex]

Sᴘᴀᴄᴇ7

Given,

Wavelength = 1.5 metres

T = 3 seconds OR 3.0 seconds

We know that the formula of Frequency–

1/Time

According to the question we have seen that Time is 3 seconds

[tex] \sf \longmapsto \: Frequency = \frac{1}{3 .0 \: seconds} [/tex]

[tex] \sf \longmapsto \: Frequency = 0.33 seconds^{-1} [/tex]

We Know,

Velocity = Frequency

  • Solving Further

[tex]\sf \longmapsto Velocity =0.33 \times 1.5 [/tex]

[tex]\sf \longmapsto \: 0.5 \: m/s ^{-1}[/tex]

  • Therefore the speed is[tex]\sf \: 0.5 \: m/s ^ {-1}[/tex]
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