Two strings of the same material and under the same tension have circular radii R and R/2. If transverse wave speeds are v₁ and v₂ respectively, the ratio v₂/v₁ is:
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Question

Two strings of the same material and under the same tension have circular radii R and R/2. If transverse wave speeds are v₁ and v₂ respectively, the ratio v₂/v₁ is:

G1 Physics · Accepted Answer

Wave speed on a stretched string is v = √(T/μ), where μ is mass per unit length. For the same material, μ = ρA = ρπr², so v ∝ 1/r. Therefore, v₂/v₁ = R/(R/2) = 2. Correct option: B.