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:

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: (A) 14 (B) 13 (C) 6 (D) 9

Tardigrade Admin · Accepted Answer

Critical hearing frequency for a person is

20, 000 Hz

.
If a closed pipe vibration in

N

th mode then frequency of vibration

n = \frac{( 2 N - 1 ) v}{4 l} = (2 N - 1) n_{1}

(where

n_{1} =

fundamental frequency of vibration)
Hence

20, 000 = (2 N - 1) \times 1500

\Rightarrow N = 7.1 = 7

Also, in closed pipe Number of over tones

=

(No. of mode of vibration)

- 1

= 7 - 1 = 6

Q. An organ pipe is 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:

14

13

6

9

Q. 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: