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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. |
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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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