MHT CET 2024 Physics question

When a sonometer wire vibrates in third overtone there are

(A)4 nodes and 3 antinodes.
(B)6 nodes and 5 antinodes.
(C)5 nodes and 4 antinodes.Correct
(D)4 nodes and 5 antinodes.

Answer: (C)

Solution

A sonometer wire is fixed at both ends, so it has nodes at both ends and all harmonics are present. The fundamental (first harmonic) has 2 nodes and 1 antinode, the first overtone (2nd harmonic) has 3 nodes and 2 antinodes, the second overtone (3rd harmonic) has 4 nodes and 3 antinodes, and the

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Question ID VK-098897