Wave Motion 2 Question 27
27. Column I shows four systems, each of the same length $L$, for producing standing waves. The lowest possible natural frequency of a system is called its fundamental frequency, whose wavelength is denoted as $\lambda _f$. Match each system with statements given in Column II describing the nature and wavelength of the standing waves.
(2011)
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Answer:
Correct Answer: 27. $A \rightarrow p, t ; B \rightarrow p, s ; C \rightarrow q, s ; D \rightarrow q, r$
Solution:
- In organ pipes, longitudinal waves are formed.
In string, transverse waves are formed. Open end of pipe is displacement antinode and closed end is displacement node. In case of string fixed end of a string is node.
Further, least distance between a node and an antinode is $\frac{\lambda}{4}$ and between two nodes is $\frac{\lambda}{2}$. Keeping these points in mind answer to this question is as under; (A) $\rightarrow(p, t) ;(B) \rightarrow(p, s)$; (C) $\rightarrow(q, s) ;(D) \rightarrow(q, r)$
