Frequencies of sound produced from an organ pipe open at both ends are
only fundamental note
only odd harmonics
only even harmonics
even and odd harmonics
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4
6
5
10
A closed organ pipe (closed at one end) is excited to support the third overtone. It is found that air in the pipe has
three nodes and three antinodes
three nodes and four antinodes
four nodes and three antinodes
four nodes and four antinodes
Third overtone has a frequency , which means three full loops + one half loop, which would make four nodes and four antinodes.
A string long and fixed at its ends is driven by a 240 vibrator. The string vibrates in its third harmonic mode. The speed of the wave and its fundamental frequency is:
or
Velocity,
Also
If and are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency of the string is given by
Total length of string
(As string is divided into three segments)
But frequency
so
Tube has both ends open while tube has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube and is
If the length of a stretched string is shortened by and the tension increased by then the ratio of the final and initial fundamental frequencies is
.
The number of possible natural oscillation of air column in a pipe closed at one end of length whose frequencies lie below are : (velocity of sound )
7
In case of closed organ pipe frequency,
for
Hence possible natural oscillation whose frequencies
The fundamental frequency of a closed organ pipe of length is equal to the second overtone of an organ pipe open at both the ends. The length of organ pipe open at both the ends is
An organ pipe closed at one end vibrating in its first overtone and another pipe open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of to that of is
or .
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