Equation of progressive wave is given by y=4 \sin \pi \left [ (\frac{t}{5}-\frac{x}{9})+\frac{x}{6} \right ] then which of the following is correct?

  • Option 1)

    n = 5 cm

  • Option 2)

    \lambda = 18 cm

  • Option 3)

    a = 0.04 m

  • Option 4)

    f = 50 Hz

 

Answers (1)

As we learnt in 

Travelling Wave Equation -

y=A \sin \left ( Kx-\omega t \right )
 

- wherein

K=2\pi /\lambda

\omega = \frac{2\pi }{T}

\lambda =  wave length

T = Time period of oscillation

 

 y=4sin\:\pi[(\frac{t}{5}-\frac{x}{9})+\frac{x}{6}]

    = 4sin\:\pi[\frac{t}{5}-\frac{x}{18}]

Therefore, \lambda = 18\ cm

 

 


Option 1)

n = 5 cm

Incorrect

Option 2)

\lambda = 18 cm

Correct

Option 3)

a = 0.04 m

Incorrect

Option 4)

f = 50 Hz

Incorrect

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