A wire of length `40 cm` which has a mass of `4` g oscillates in its second harmonic and sets the air column in the tube to vibrations in its funrations in its fundamental mode as shows in figure. Assuming the speed of sound in air as `340 m//s` . Find the tension in the wire.

Answer

A

Explanation

`2((nu)/(2l_(1)))= ((nu_(2))/(4l_(2)))`
or `sqrt(T//mu)/(l_(1) = ((nu_(2))/(4l_(2))))`
`:. T = mu ((nu_(2) l_(1))/(4l_(2)))^(2)`
`= ((4 xx 10^(-3))/(0.4)) ((340 xx40)/(4 xx100))^(2)`
`= 11.56 N`