Two stretched wires are in unison. If the tension in one of the wire is increased by 1%, 3 beats are produced in 2 s . The initial frequency of each wire is

Question

Two stretched wires are in unison. If the tension in one of the wire is increased by 1%, 3 beats are produced in 2 s . The initial frequency of each wire is, 150 H z, 200 H z, 300 H z, 450 H z

MARKS App · Accepted Answer

n 1 = k T , n 2 = k 1.01 T ∵ n 2 - n 1 = 3 2 k 1.01 T - T = 1.5 k T 1 + 0.01 1 2 - 1 = 1.5 k T 1 + 1 2 × 0.01 - 1 = 1.5 k T = 1.5 × 2 0.01 = 1.5 × 2 0.01 = 300 H z

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