First slide
Stationary waves
Question

String of length L whose one end is x = 0 vibrates according to the relations given in column-I. Select matching entries from column-lI including nodes or antinodes at the end points of string.

Column-IColumn-II
(a)y=AsinπxLsinωt(p)1 antinode, 2 nodes
(b)y=AcosπxLsinωt(q)3 nodes, 2 antinodes
(c)y=Asin2πxLsinωt(r)2 antinodes, 1 node
(d)y=Acos2πxLsinωt(s)3 antinodes, 2 nodes

Moderate
Solution

(a) K=2πλ=πLλ2=L 

(b) 

(c) K=2πλ=2πLλ=L

(d)  

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