JEE Physics · Hard

Waves on String: Sonometer MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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SonometerHardQuestion 31359

Question

A string of length 4 m resonates at 125 Hz in fundamental. At what position should it be touched (node) to sound 3rd harmonic?
  1. A
    1 m from end
  2. B
    2/3 m from end
  3. C
    4/3 m from end
    Correct
  4. D
    Both 4/3 m and 8/3 m from end

Correct answer

4/3 m from end

Explanation

3rd harmonic has 3 loops, 4 nodes at 0, 4/3, 8/3, 4 m. Touch at 4/3 m from either end (second node position, first interior node).