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From the figure, tension T₁ = m₂g, T₂ = (m₁ + m₂)g. As we know, velocity ∝ √T, so λ ∝ √T. λ₁/λ₂ = √T₁/√T₂.

1. T₁ = m₂g
2. T₂ = (m₁ + m₂)g
3. λ₁/λ₂ = √T₁/√T₂
4. Velocity ∝ √T

Correct answer: λ₁/λ₂ = √T₁/√T₂

Solution

The question asks for the relationship between the wavelengths λ₁ and λ₂, which is given as λ₁/λ₂ = √T₁/√T₂. This matches option C.

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