If speed of sound in air in $330 \,m / s$ then, find the number of tones present in an open organ pipe of length $1\, m$ whose frequency if $\leq 1000$.
AIIMS 2019, Medium
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The expression of fundamental frequency is given by.
$f=\frac{v}{2 \ell}$
Substitute the values as,
$f=\frac{330}{2 \times 1}$
$=165 Hz$
Calculate the number of overtones allowed as,
$n =\frac{1000}{165}$
$=6$
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