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Fundamental note in open pipe (v1=ν/2L) has _________ the frequency of the fundamental note in closed organ pipe (v2=ν/4L).
a)Twice
b)Half
c)Four times
d)Thrice
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Fundamental note in open pipe (v1=ν/2L) has _________ the frequency of...
Let L be a length of the pipe,
The fundamental frequency of closed pipe is
v2​=ν​/4L                                         .....(i)
where ν is the speed of sound in air.
Fundamental frequency of open pipe of same length is
v​1=ν/2L​                                            .....(ii)
After dividing v1 with v2,
v1/v2= ν/2L/ ν​/4L
v1=2v2
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Fundamental note in open pipe (v1=ν/2L) has _________ the frequency of...
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Fundamental note in open pipe (v1=ν/2L) has _________ the frequency of...
V1/v2=v/2L/v/4L.v1/v2=1/2L/ 1/4L.v1/v2=4L/2L.v1/v2=2/1.v1/2=v2.open pipe fundamental frequency( v1) is half that if closed pipe fundamental frequency (v2).....
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