Two strings (A, B) having linear densities _ A =2 10⁻⁴ ~kg / m and, _ B =4 10⁻⁴ ~kg / m and lengths L_ A =2.5 ~m and L_ B =1.5 ~m respectively are joined. Free ends of A and B are tied to two rigid supports C and D , respectively creating a

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Two strings (A, B) having linear densities _ A =2 10⁻⁴ ~kg / m and, _ B =4 10⁻⁴ ~kg / m and lengths L_ A =2.5 ~m and L_ B =1.5 ~m respectively are joined. Free ends of A and B are tied to two rigid supports C and D , respectively creating a tension of 500 N in the wire. Two identical pulses, sent from C and D ends, take time t₁ and t₂ , respectively, to reach the joint. The ratio t₁ / t₂ is :

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Correct answer: D. 1.18

Wave velocity in string: v = T Time to reach joint: t = L v = L T t₁ = L_A _A T and t₂ = L_B _B T t₁ t₂ = L_A L_B _A _B = 2.5 1.5 2 10⁻⁴ 4 10⁻⁴ = 5 3 1 2 = 5 3 2 = 5 2 6 1.18

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