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Waves on String: Melde's Experiment MCQ

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Melde's ExperimentMediumQuestion 31344

Question

In Melde's transverse mode, when vibrator frequency doubles while tension is kept constant, resonating length of string:
  1. A
    Doubles
  2. B
    Halves
    Correct
  3. C
    Stays same
  4. D
    Quadruples

Correct answer

Halves

Explanation

f = nv/(2L). For same n, if f doubles: L must halve to maintain resonance. Or more loops form at same length.

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