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A massless rod of length l is hung from the ceiling with the help of two identical wires attached at its ends. A block is hung on the case, the frequency of the 1 st harmonic of the wire on the left end is equal to the frequency of the 2 nd harmonic of the wire on the right. The value of X is

Options

  1. Al 2
  2. Bl 3
  3. Cl 4
  4. Dl 5

Correct answer

D. l 5

Step-by-step solution

v = λ f T 1 μ T 2 μ = 2 l f l f T 1 T 2 = 4 T 1 + T 2 = M g ; T 2 = M g 5 Σ t B = 0 ⇒ M g × X = M g 5 × l ; X = l 5

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