The frequency of 400 Hz is not possible.
Given that:
Frequency = 200 Hz
Length = l
Let's suppose, the given frequencies are,
600 Hz, 1000 Hz, 1400 Hz, 1800 Hz, and 400 Hz respectively.
To determine the possible resonance frequencies, we need to calculate the fundamental frequency.
Now using the formula of fundamental frequency for pipe
Where, n = odd number
F = nv / 4L
To calculate the first overtone, use the above formula.
n = 3
F = nv/4L = 3 x v / 4L = 3 x 200 = 600 Hz
For the second overtone, Use the same formula.
n = 5,
F = nv / 4L = 5 x 200 = 1000 Hz
For the third overtone, use the formula
n = 7,
F = nv / 4L = 7 x 200 = 1400 Hz
For the fourth overtone, use the formula.
n = 9,
F = nv/ 4L = 9 x 200 = 1800Hz
Hence, The frequency of 400 Hz is not possible.
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