The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe is 20cm, the length of the open organ pipe is - a) 12.5cm b) 8 cm c) 13.2 cm d) 16 cm
Answer (1)
Student Expert
30th Dec, 2019
Hello
The correct option is (c ) dear
It is a simple formula based problem, which we can solve in this way:-
First of all, we know that fundamental Frequency for the Open orange pipe is
=1 /2l'
where, = Frequency and l' is the length of the open orange pipe.
Now, Third Harmonic of the orange pipe = 3/4l
where, = frequency
and l is the length of the Closed orange pipe = 20 cm.
Now, According to the Question,
3/4l = /2l'
3/(4 20) = 1/2l'
3/80 = 1/2l'
2l' = 80/3
l' = 40/3
l' = 13.33 cm.
Hence, the length of the open orange pipe is 13.33 cm.
I hope that it helps you.
Good luck for your examination
Thankyou
The correct option is (c ) dear
It is a simple formula based problem, which we can solve in this way:-
First of all, we know that fundamental Frequency for the Open orange pipe is
=1 /2l'
where, = Frequency and l' is the length of the open orange pipe.
Now, Third Harmonic of the orange pipe = 3/4l
where, = frequency
and l is the length of the Closed orange pipe = 20 cm.
Now, According to the Question,
3/4l = /2l'
3/(4 20) = 1/2l'
3/80 = 1/2l'
2l' = 80/3
l' = 40/3
l' = 13.33 cm.
Hence, the length of the open orange pipe is 13.33 cm.
I hope that it helps you.
Good luck for your examination
Thankyou
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