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Mechanical Properties Of Fluids

Question
CBSEENPH11020619

A wave travelling  in the positive x- direction having displacement along y- direction as 1 m, wavelength 2π m and frequency of 1/π Hz is represented by

  • y = sin(x-2t)

  • y= sin (2πx-2πt)

  • y= sin (10πx-20πt)

  • y=sin (2πx+2πt)

Solution

A.

y = sin(x-2t)

Given a = 1 m
As space straight y space equals space straight a space sin space left parenthesis Kx space minus ωt right parenthesis
equals space sin open parentheses fraction numerator 2 straight pi over denominator 2 straight pi end fraction straight x minus 2 straight pi space straight x 1 over straight pi straight t close parentheses
equals space sin space left parenthesis straight x minus 2 straight t right parenthesis