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Match the statements in list-I with the statements in list-II.
List – I List – II
A) A tight string is fixed at both ends and sustaining standing wave P) At the middle, antinode is formed in odd harmonic
B) A tight string is fixed at one end and free at the other end (sustaining standing wave) Q) At the middle, node is formed in even harmonic
C) Standing wave is formed in an open organ pipe. End correction is not negligible. R) At the middle, neither node nor antinode is formed
D) Standing wave is formed in a closed organ pipe. End correction is not negligible. S) Phase difference between SHMs of any two particles will be either $π$ or zero.
T) Phase difference between SHMs of any two particles can be $\frac{π}{2}$

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A – Q, B – P, C – R, D – R

A – P, B – S, C – Q, D – Q

A – PQS, B – RS, C – S, D – RS

A – P, B – Q, C –R, D – P

answer is C.

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Detailed Solution

A) Number of loops (of length $λ / 2$ ) will be even or odd and node or antinode will respectively be formed at the middle.
Phase of difference between two particle in same loop will be zero and that between two particles in adjacent loops will be $π .$
(B) and (D) Number of loops will not be integral. Hence neither a node nor an antinode will be formed in in the middle.
Phase of difference between two particle in same loop will be zero and that between two particles in adjacent loops will be $π .$

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