The length of a sonometer wire is 1m. Where should be the bridge placed to divide the wire into 2 segments, whose fundamental frequencies are in the ratio ` 1: 2` ?

Options

A. At `1/3` m from the left end
B. At ` 2/3` m from the left end
C. At the centre
D. At 80 cm from the left end

Answer

B

Explanation

`n_(1)/ n_(2) = 1/2 = L_(2)/ L_(1) :. L_(1) = 2L_(2) `
` L_(1) + L_(2) = 1m " " :. 3L_(2) = 1 m " " :. L _(2) = 1/3 m `
` :. L_(1) = 2/3 m `