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Mechanical Properties Of Fluids

Question
CBSEENPH11026222

The equation of a wave is y = 5 sin t0.04- x4 ; where x is in cm and t is in second. The maximum velocity of the wave will be

  • 1 ms-1

  • 2 ms-1

  • 1.5 ms-1

  • 1.25 ms-1

Solution

D.

1.25 ms-1

Equation of wave 

          y = 5 sin t0.04 - x4

The standard equation of a wave in the given form

          y =α sin ωt - 2πxλ

Comparing the given equation with the standard equation, we get

      α = 5 

and  ω = 10.04

        ω = 25

 Therefore, maximum velocity of particles of the medium,

    vmaxαω

             = 5 × 125 cm s-1

     vmax = 1.25 ms-1