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MHT CET2019Evening ShiftPhysicsWaves and SoundActual

A stretched string fixed at both ends has ‘m’ nodes, then the length of the string will be

Options

  1. Am - 1 λ 2
  2. Bm + 1 λ 2
  3. Cm λ 2
  4. Dm - 2 λ 2

Correct answer

A. m - 1 λ 2

Step-by-step solution

For p number of loops in stretched string, the length is given by l = p λ 2 … (i) As, number of harmonics = number of loops = number of anti-nodes = p …. (ii) Also, number of nodes = number of anti-nodes + 1 Here, number of nodes = m Number of anti-nodes = m-1 from Eq. (ii) p = m - 1 Putting this value of p in Eq. (i), we get l = m - 1 λ 2

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