JEE Physics · Hard

Sound Waves: Beats Advanced MCQ

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

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Beats AdvancedHardQuestion 31293

Question

A sonometer wire of length 1 m, mass per unit length 1 g/m, under tension 100 N vibrates. Fundamental frequency:
  1. A
    50 Hz
  2. B
    100 Hz
  3. C
    158 Hz
    Correct
  4. D
    200 Hz

Correct answer

158 Hz

Explanation

v = √(T/μ) = √(100/0.001) = √10⁵ = 316 m/s. f₁ = v/(2L) = 316/2 = 158 Hz.