Length of organ pipe is 20m and speed of waves produced in it is 25m/s. Find frequency of fifth harmonic when it’s one end is closed1. A. 1.9 Hz2. B. 0.8 Hz3. C. 2.8 Hz4. D. 1.5 Hz
Question
Length of organ pipe is 20m and speed of waves produced in it is 25m/s. Find frequency of fifth harmonic when it’s one end is closed1. A. 1.9 Hz2. B. 0.8 Hz3. C. 2.8 Hz4. D. 1.5 Hz
Solution
The frequency of the nth harmonic in a pipe closed at one end is given by the formula:
f = n*v / 4L
where:
- f is the frequency,
- n is the harmonic number,
- v is the speed of the wave, and
- L is the length of the pipe.
In this case, we are asked to find the frequency of the fifth harmonic (n = 5), the speed of the wave is 25 m/s, and the length of the pipe is 20 m.
Substituting these values into the formula, we get:
f = 5 * 25 / (4 * 20) = 1.5625 Hz
So, the frequency of the fifth harmonic when one end of the pipe is closed is approximately 1.5625 Hz.
Looking at the options provided, the closest answer is D. 1.5 Hz.
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