1)

The equation of the progressive wave is   $y= 3sin \left[ \pi\left(\frac{t}{3}-\frac{x}{5}\right)+\frac{\pi}{4}\right]$, where x and y are in metre and time in second .Which of the following is correct?


A) Velocity v=1.5 m/s

B) Amplitude A=3 cm

C) Frequency f=0.2 Hz

D) Wavelength $\lambda$=10 m

Answer:

Option D

Explanation:

 Compare the given equation with the  standard  equation of wave motion,

   $Y= A \sin\left[2\pi\left(\frac{t}{T}-\frac{x}{\lambda}\right)\times\frac{\pi}{4}\right]$

where, A  and $\lambda$ are amplitude and wave length respectively

 Amplitude , A= 3m

Wavelength , $\lambda$ =10 m