Waves And Sound Question 1
Question 1 - 2024 (01 Feb Shift 1)
A tuning fork resonates with a sonometer wire of length $1 m$ stretched with a tension of $6 N$. When the tension in the wire is changed to $54 N$, the same tuning fork produces 12 beats per second with it. The frequency of the tuning fork is Hz.
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Answer: (6)
Solution:
$f=\frac{1}{2 L} \sqrt{\frac{T}{\mu}}$
$f _1=\frac{1}{2} \sqrt{\frac{6}{\mu}} \quad f _2=\frac{1}{2} \sqrt{\frac{54}{\mu}}$
$\frac{f _1}{f _2}=\frac{1}{3} \quad f _2-f _1=12$
$f _1=6 HZ$
