Question

An organ pipe closed at one end has fundamental frequency of \(1500\) Hz. The maximum number of overtones generated by this pipe a normal person can hear is (neglect end connection)

• A. \(4\)
• B. \(13\)
• C. \(6\)
• D. \(9\)

Hint:

A closed pipe gives only odd harmonics. Count the odd multiples of 1500 Hz that are at most 20000 Hz.

Answer 1

The Correct Option is C

Step 1: List the Harmonics
The harmonics are 1500, 4500, 7500, 10500, 13500, 16500, 19500 Hz; the next one is 22500 Hz, above the limit.

Step 2: Exclude the Fundamental
The first one (1500 Hz) is the fundamental, not an overtone.

Step 3: Count
The remaining audible frequencies form 6 overtones, which is option (C).

Final Answer:
There are 6 audible overtones. \[ \boxed{\text{(C) }6} \]