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Two strings with circular cross section and made of same material, are stretched to have same amount of tension. A transverse wave is then made to pass through both the strings. The velocity of the wave in the first string having the radius of cross section R is v ₁ , and that in the other string having radius of cross section R / 2 is v₂ . Then v₂ v₁ =

Options

  1. A2
  2. B2
  3. C8
  4. D4

Correct answer

B. 2

Step-by-step solution

aligned & v= T = T f R^2 & v₂ v₁ = R₁ R₂ =2 aligned

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