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Most Important Selected Qs for JEE AdvancedPhysicsWaves and Sound

Paragraph: Three pieces of string each of length L are joined end to end to make a string of length 3L, the linear mass densities of strings are , 4 and 9 respectively. One end of the combined string is tied to fixed support and the string is stretched to a tension T. A transverse wave has been generated at the other end having frequency F. Question: Find the ratio of wavelengths of waves on three strings

Options

  1. A3: 2: 1
  2. B12: 6: 4
  3. C3: 4: 5
  4. DNone of these

Correct answer

B. 12: 6: 4

Step-by-step solution

aligned A_ 2+ & =A 2 V₂ V₂+V₃ & =A 2 1 2 V₁ 1 2 V₁+ 1 3 V₁ = 6 5 ~A A_ 1+ & = 6 ~A 5 2 V₁ V₁+V₂ = 6 ~A 5 2 V₁ V₁+ V₁ 2 & = 8 ~A 5 aligned

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