A) \[3cm\]
B) \[4.5cm\]
C) \[6cm\]
D) \[1.5cm\]
Correct Answer: D
Solution :
\[y=5\sin \left( \frac{2\pi \,\,x}{3} \right)\cos 20\pi \,\,t\] Comparing with standard equation \[y=2\,\,A\sin \frac{2\pi x}{\lambda }\cdot \cos \frac{2\pi vt}{\lambda }\] \[\therefore \] \[\frac{2\pi \,\,x}{\lambda }=\frac{2\pi \,\,x}{3}\] \[\Rightarrow \] \[\lambda =3\,\,cm\] \[\therefore \]Distance between two adjacent nodes \[=\frac{\lambda }{2}=\frac{3}{2}=1.5\,\,cm\]You need to login to perform this action.
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