Question

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

Answer 1

This is a different approach to the question. Hope this helps.

Answer 2

Answer:

The maximum number of overtone generated by this pipe which a normal person can hear is 6.

Explanation:

Concept: fundamental frequency of a closed pipe=v/4L Where v be the velocity of pipe and L be the length of the pipe.

Given data:

• Fundamental frequency of closed pipe: 1500Hz.
• Maximum frequency that a human ear can hear: 20KHz
• nth frequency of closed pipe= $\frac{(2n+1)V}{4L}$

                                                          = $\frac{(2n+1)1500}{4L}$

Equate nth frequency with maximum frequency

                                         $20000=(2n+1)1500\\\\20000={(2n+1)1500$

                                         $2n+1=13.33( don't take decimal. Take 13.)\\2n=12\\n=6$

The maximum number of overtone generated by this pipe which a normal person can hear is 6.