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-I		Column-II
(a)	$\mathrm{y}=\mathrm{Asin}\frac{\mathrm{\pi x}}{\mathrm{L}}\sin \mathrm{\omega t}$	(p)	1 antinode, 2 nodes
(b)	$\mathrm{y}=\mathrm{Acos}\frac{\mathrm{\pi x}}{\mathrm{L}}\sin \mathrm{\omega t}$	(q)	3 nodes, 2 antinodes
(c)	$\mathrm{y}=\mathrm{Asin}\frac{2\mathrm{\pi x}}{\mathrm{L}}\sin \mathrm{\omega t}$	(r)	2 antinodes, 1 node
(d)	$\mathrm{y}=\mathrm{Acos}\frac{2\mathrm{\pi x}}{\mathrm{L}}\sin \mathrm{\omega t}$	(s)	3 antinodes, 2 nodes

• A

  a$\to$p, b$\to$r, c$\to$s, d$\to$q

• B

  a$\to$p, b$\to$r, c$\to$q, d$\to$s

• C

  a$\to$p, b$\to$q, c$\to$r, d$\to$s

• D

  a$\to$s, b$\to$r, c$\to$q, d$\to$p