Question

The length of a wire between the two ends of a sonometer is 105 cm. Where should the two bridges be placed so that the fundamental frequencies of the three segments are in the ratio of 1 : 3 : 15 ?

Answer 1

Total length of the wire, L = 105 cm

v₁ : v₂ : v₃ = 1 : 3 : 15

Let L₁, L₂ and L₃ be the length of the three parts. As v ∞ 1/L

Hence the bridges should be placed at 75 cm and (75 + 25) = 100 cm from one end.