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Question 31357
JEE Physics · Hard

Waves on String: Wave Speed MCQ

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

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Wave SpeedHardQuestion 31357

Question

Transverse standing wave y = 2A sin(nπx/L)cos(ωt) on a string [0,L]. Number of nodes:
  1. A
    n−1
  2. B
    n
  3. C
    n+1
    Correct
  4. D
    2n

Correct answer

n+1

Explanation

Nodes at sin(nπx/L) = 0 → x = 0, L/n, 2L/n,...,L → n+1 nodes including both fixed ends.

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