The Length Of A Sonometer Wire AB is 100 Cm. Where Should The Two Bridges Be Placed From End A to Divide The Wire In Three Segments Whose Fundamental Frequencies Are The Ratio Of 1:2:3?

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The length of a sonometer wire AB is 100 cm. Where should the two bridges be placed from end A to divide the wire in three segments whose fundamental frequencies are the ratio of 1:2:3?


Correct option is

60 cm, 90 cm

For a wire,  Therefore, frequencies will be in the ratio of 1:2:3 if lengths are in the ratio of  the lengths are in the ratio of 6:3:1. Total length = 100 cm. Therefore L1 = 60 cm, L2 = 30 cm and L1 = 10 cm.



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