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Question 31347
JEE Physics · Medium

Waves on String: Fundamental Frequency MCQ

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Fundamental FrequencyMediumQuestion 31347

Question

A 60 cm string is clamped at midpoint (making two 30 cm sections), both ends fixed. Possible resonant frequencies:
  1. A
    Multiples of v/0.6
    Correct
  2. B
    Odd multiples of v/1.2
  3. C
    Multiples of v/(2×0.3) = v/0.6
  4. D
    Multiples of v/(0.6)

Correct answer

Multiples of v/0.6

Explanation

Each 30 cm section vibrates independently as a string fixed at both ends: f = nv/(2×0.3) = nv/0.6. Allowed frequencies are multiples of v/0.6.

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