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प्रश्न
The fundamental frequency of a string is proportional to
पर्याय
inverse of its length
the diameter
the tension
the density.
उत्तर
inverse of its length
The relation between wave speed and the length of the string is given by
\[v = \frac{1}{2l}\sqrt{\frac{F}{\mathrm{\mu}}}\]
where
l is the length of the string
F is the tension
μ linear mass density
From the above relation, we can say that the fundamental frequency of a string is proportional to the inverse of the length of the string.
\[v \propto \frac{1}{l}\]
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