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Question

Length of a sonometer wire is 1.21 m. The three segments for fundamental frequency in the ratio 1 : 2 : 3.

Options

A.0.66 m, 0.33 m, 0.22 m
B.0.22 m, 0.33 m, 0.66 m
C.0.77 m, 0.33 m, 0.11 m
D.0.11 m, 0.33 m, 0.77 m

Solution

∵  n ∝ 1/l
n1 : n2 : n3 = 1 : 2 : 3
⇒ l1 : l2 : l3 = = 6 : 3 : 2
l1 = × 1.21 = 0.66 m
l2 = × 1.21 = 0.33 m
l3 = × 1.21 = 0.22 m

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