Two stretched strings are maintained under the same tension. Their transverse wave speeds are 60 m/s and 30 m/s. If their linear densities are μ₁ and μ₂ respectively and μ₂/μ₁ = N, find N.
Physics · Wave Motion · question based on string wave
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Question

Two stretched strings are maintained under the same tension. Their transverse wave speeds are 60 m/s and 30 m/s. If their linear densities are μ₁ and μ₂ respectively and μ₂/μ₁ = N, find N.

G1 Physics · Accepted Answer

For equal tension, v ∝ 1/√μ. Therefore, v₁/v₂ = √(μ₂/μ₁). Substitute 60/30 = √(μ₂/μ₁). Thus, 2 = √N. Hence, N = 4.