The frequency of stationary waves in an organ pipe for third overtone when both ends are open is given by:
Correct answer: D. f4 = 4v/(2L)
- A. f4 = v/2L
- B. f4 = 4/2L
- C. f4 = 3v/(2L)
- D. f4 = 4v/(2L)
Explanation
In an open organ pipe, the harmonics are integer multiples of the fundamental frequency. The nth harmonic frequency is given by fn = n(v/2L), where v is the speed of sound and L is the length of the pipe. The third overtone corresponds to the fourth harmonic (n = 4), so the frequency is f4 = 4(v/2L). This is why the correct answer is Option D.Option A represents the formula for the fundamental frequency, which is the first harmonic, not the third overtone. Option B is incorrect as it lacks the speed of sound 'v' in the formula. Option C is the formula for the second harmonic, not the third overtone.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Waves
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Waves questions
If stretching force in a stretched wire is increased then its frequency of oscillation:
Transverse mechanical waves can propagate:
When the wave propagates, what is true about points "P" and "C" in the below figure?
A 100 cm long string fixed at its two ends is plucked from the middle. The wavelength of stationary waves generated is:
In standing wave if k = C/2 in case of string when the number of loops are:
In stretched string, the speed of wave is independent of: