A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the…

A stretched string is vibrating in the second overtone, then the number of nodes and antinodes between the ends of the string are respectively [KCET 2015]
  1. 3 and 4
  2. 4 and 3
  3. 2 and 3
  4. 3 and 2

Solution

A stretched string is vibrating such that 2nd overtone = 3rd harmonic [Diagram shows a standing wave with 3 loops, indicating antinodes $A$ at the peaks and nodes $N$ at fixed ends and nodal points] There are 2 nodes and 3 antinodes present.

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