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Waves on String: Sonometer MCQ

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SonometerMediumQuestion 31326

Question

A sonometer wire vibrates in fundamental. Law of lengths states frequency is:
  1. A
    Proportional to L
  2. B
    Inversely proportional to L
    Correct
  3. C
    Proportional to L²
  4. D
    Inversely proportional to √L

Correct answer

Inversely proportional to L

Explanation

f₁ = v/(2L) ∝ 1/L. Shorter wire → higher frequency. Sonometer laws: f ∝ 1/L, f ∝ √T, f ∝ 1/√μ.

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