The length of the stretched sonometer wire is 1m, if the fundamental frequency are in the ratio 1:2 . Where should be the bridge be placed to divide the wire two segments ?

Options

A. `1/3 : 2/3`
B. `2/3:1/3`
C. `3/2:3`
D. `2:3`

Answer

B

Explanation

`n_1/n_2 = l_2/l_1 = 1/2 therefore l_1=2l_2`
`l_1+l_2 = 1 " hence " 2l_2 +l_2 =1 therefore l_2=1/3`
`2l_2 +l_2 = 1`
`l_2=1/3 m therefore l_1=2/3m`