Standing waves are produced in a $10 \;m$ long stretched string. If the string vibrates in $5$ segments and the wave velocity is $20\; m/s$, the frequency is ... $Hz$
AIIMS 1998,AIPMT 1997, Medium
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(c) String vibrates in five segment so $\frac{5}{2}\lambda = l$

==> $\lambda = \frac{{2l}}{5}$

Hence $n = \frac{v}{\lambda } = 5 \times \frac{v}{{2l}}$$ = 5 \times \frac{{20}}{{2 \times 10}} = 5$$Hz$

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