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Question 31386
JEE Physics · Hard

Waves on String: Coupled Strings MCQ

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Coupled StringsHardQuestion 31386

Question

Two identical strings are coupled by a spring. Normal modes of the coupled system:
  1. A
    Same as uncoupled strings
  2. B
    Split into symmetric (lower frequency) and antisymmetric (higher frequency) modes
    Correct
  3. C
    Only one mode exists
  4. D
    Modes have irrational frequencies

Correct answer

Split into symmetric (lower frequency) and antisymmetric (higher frequency) modes

Explanation

Coupling creates two normal modes: symmetric (both strings vibrate in phase — spring unstretched) and antisymmetric (out of phase — spring stretched, higher effective restoring force → higher frequency).

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