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BITSAT2014PhysicsWaves and SoundActual

When a string is divided into three segments of length l₁, l₂, and l₃ , the fundamental frequencies of these three segments are v₁, v₂ and v₃ respectively. The original fundamental frequency (v) of the string is

Options

  1. Av = v₁ + v₂ + v₃
  2. Bv=v₁+v₂+v₃
  3. C1 v = 1 v₁ + 1 v₂ + 1 v₃ .
  4. D1 v = 1 v₁ + 1 v₂ + 1 v₃

Correct answer

C. 1 v = 1 v₁ + 1 v₂ + 1 v₃ .

Step-by-step solution

Fundamental frequency is given by v= 1 2 l T v 1 l P 1 v Since, P divided into l₁, l₂ and l₃ segments Here l=l₁+l₂+l₃ So 1 v = 1 v₁ + 1 v₂ + 1 v₃

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