wave_mechanics critical_thinking Question 48
Question: 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 :
[AIIMS 2004]
Options:
A) 14
B) 13
C) 6
D) 9
Show Answer
Answer:
Correct Answer: C
Solution:
Critical hearing frequency for a person is 20,000Hz.
If a closed pipe vibration in $ N^{th} $ mode then frequency of vibration $ n=\frac{(2N-1)v}{4l}=(2N-1)n _{1} $ (where $ n _{1}= $ fundamental frequency of vibration) Hence 20,000 $ =(2N-1)\times 1500 $
Therefore $ N=7.1\approx 7 $ Also, in closed pipe Number of over tones = (No. of mode of vibration) ?1 = 7 ? 1 = 6.
BETA
