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. (d) 4 nodes and 5 antinodes.

Answer: (c). NNNNNAAAA Third overtone = 4th harmonic, so the wire forms p = 4 loops. For a wire fixed at both ends: nodes = p + 1, antinodes = p. Nodes = 5, antinodes = 4. So the answer is (c) 5 nodes and 4 antinodes.

When a sonometer wire vibrates in third overtone there are | MHT CET 2024 (15 May, Shift 1)

Q39MHT CET 2024 · 15 MAY · SHIFT 1Easy

Stationary Waves & Vibrating Strings

When a sonometer wire vibrates in third overtone there are

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Answer: (c)

Third overtone = 4th harmonic, so the wire forms $p = 4$ loops.
For a wire fixed at both ends: nodes $= p + 1$ , antinodes $= p$ .
Nodes $= 5$ , antinodes $= 4$ .
So the answer is (c) 5 nodes and 4 antinodes.

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