Published by:
CGP EDU Academic Team
Published on: September 12, 2026
An organ pipe is closed at one end has fundamental frequency of 1500 Hz. The maximum number of overtones generated by this pipe which a normal person can hear is:
Text Solution
Verified by ExpertsThe correct answer is:
C
Critical hearing frequency for a person is 20,000Hz.
If a closed pipe vibration in $N^{th}$ mode then frequency of vibration $\mathbf{n} = \frac{(2N-1)v}{4l} = (2N-1)n_1$
(where $n_1 =$ fundamental frequency of vibration)
Hence 20,000 $= (2N - 1) \times 1500$ ⇒ ⇒ $\mathrm{N} = 7.1 \approx 7$
Also, in closed pipe
Number of over tones = (No. of mode of vibration) –1
= 7 – 1 = 6.
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