Question

In air column closed at one end the successive vibrating frequency are found to be 250 Hz, 350Hz,and 450Hz what is the fundamental frequency of the Air column
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Answer 1

Answer:

Formula of frequency at any harmonics or overtone

f=

4L

(2n+1)v

,

here (2n+1) denote harmonic and n denote overtone.

at any nth overtone we will find frequency

it is given by f

1

=

4L

(2n+1)v

=750

for next consecutive overtone replace n by (n+1)

we get f

2

=

4L

(2(n+1)+1)v

=

4L

(2n+3)v

=1050

divide both equations:

2n+3

2n+1

=

1050

750

on solving we get n=2

putting it in any equation above we will get value of

L

v

=600

now

fundamental frequency is f

0

=

4L

v

so, f

0

=

4

600

=150Hz