A) 1.5cm
B) 6.0cm
C) 3cm
D) 12cm
Correct Answer: C
Solution :
The standard equation of wave is \[y=2\,a\,\cos \frac{2\pi t}{T}\sin \frac{2\pi \,x}{\lambda }\] ... (i) where a is amplitude, T is periodic time, and is wavelength. Given equation is \[y=5\sin \frac{\pi x}{3}\cos 40\,\pi t\] ... (ii) Comparing Eq. (i) with Eq. (ii), we get \[\frac{2\pi x}{\lambda }=\frac{\pi x}{3}\] \[\Rightarrow \] \[\lambda =6\,cm\]. Separation between consecutive nodes is given \[\frac{\lambda }{2}=\frac{6}{2}=3\,cm\]You need to login to perform this action.
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