Two identical wires are vibrating in unison. If the tension in one of the wires is increased by 2% , five beats are produced per second by the two vibrating wires. The initial frequency of each wire i

Question

Two identical wires are vibrating in unison. If the tension in one of the wires is increased by 2% , five beats are produced per second by the two vibrating wires. The initial frequency of each wire is ( 1 ⋅ 02 ​ ≐ 1 ⋅ 01 )

TestHub · Accepted Answer

n ∝ 2 ℓ 1 ​ m T ​ ​ ∴ n ∝ T n 1 ​ n 2 ​ ​ = T 1 ​ T 2 ​ ​ ​ = T 1 ​ 1.02 T 1 ​ ​ ​ = 1.02 ​ = 1.01 Also n 2 ​ − n 1 ​ = 5 ∴ 1.01 n 1 ​ − n 1 ​ = 5 ∴ 0.01 n 1 ​ = 5 ∴ n 1 ​ = 0.01 5 ​ = 500 Hz

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