A) 2 m, 120 Hz
B) 2 m, 60 Hz
C) \[\frac{\text{3}}{2}\text{ m},\text{12}0\text{ Hz}\]
D) 3 m, 60 Hz
Correct Answer: D
Solution :
The general equation of stationary wave is \[y=2a\,\sin kx\,\cos \omega \,t\] ... (i) Given equation of stationary wave \[y=0.06\sin \left[ \frac{2\pi \,x}{3} \right]\cos \,[120\,\pi t]\] ... (ii) Comparing Eqs. (i) and (ii), we get \[k=\frac{2\pi }{3}\] \[\frac{2\pi }{\lambda }=\frac{2\pi }{3}\] \[\left[ As\,k=\frac{2\pi }{\lambda } \right]\] \[\Rightarrow \] \[\lambda =3\,m\] and \[\omega =120\,\pi \] \[2\pi v=120\,\pi \] \[\Rightarrow \] \[v=60\,Hz\]You need to login to perform this action.
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