Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves
A vibrating organ pipe has a fundamental frequency equal to 200 Hz .
Options
- AThe first overtone is exactly 400 Hz .
- BThe first overtone could be 400 Hz .
- CA frequency of 600 Hz is an overtone.
- DThe first overtone could be 600 Hz .
Correct answer
D. The first overtone could be 600 Hz .
Step-by-step solution
The organ pipe can be open at both ends or closed at one end. For an open organ pipe, the frequencies of harmonics are given by f = n f₀ , where n = 1, 2, 3, The fundamental frequency is f₀ = 200 Hz . The frequencies are 200 Hz , 400 Hz , 600 Hz , The first overtone is 400 Hz and the second overtone is 600 Hz . For a closed organ pipe, the frequencies of harmonics are given by f = (2n-1) f₀ , where n = 1, 2, 3, The frequencies are 200 Hz , 600 Hz , 1000 Hz , The first overtone is 600 Hz . Thus, the first overtone c