1.

A `36cm` long sonometer wire vibrates with frequency of `280Hz` in fundamental mode, when it is under tension of `24.5N`. Calculate linear density of the material of wire.

Answer» Given: `l=36cm=0.36m`, `n=280Hz`, `T=24.5N`.
We know that, `n=(1)/(2l)sqrt((T)/(m))`
`n^(2)=(1)/(4l^(2))xx(T)/(m)`
`m=(T)/(4l^(2)n^(2))`
`=(24.5)/(4xx0.36^(2)xx280^(2))`
`=6.03xx10^(-4)kg//m`.


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