Question

An organ pipe closed at one end has fundamental frequency of $1500Hz$. The maximum number of overtones generated by this pipe which a normal person can hear is

• A. $4$
• B. $13$
• C. $6$
• D. $9$

Answer 1

The correct option is C $6$

In an organ pipe only odd harmonics are found. So, frequency equal.to odd multiple of $1500Hz$ may be found in this case. Maximum audible frequency is $20,000Hz$. So, possible frequency are $1500Hz$, $4500Hz$, $7500Hz$, $10500Hz$, $13500Hz$, $16500Hz$, $19500Hz$. $19500Hz$ will be sixth overtone as $4500$ will be first overtone.