wave_mechanics organ_pipe_vibration_of_air_column Question 49
Question: An organ pipe, open from both end produces 5 beats per second when vibrated with a source of frequency 200 Hz. The second harmonic of the same pipes produces 10 beats per second with a source of frequency 420 Hz. The frequency of source is
[DCE 2005]
Options:
A) 195 Hz
B) 205 Hz
C) 190 Hz
D) 210 Hz
Show Answer
Answer:
Correct Answer: B
Solution:
Initially number of beats per second = 5 \ Frequency of pipe = 200 ± 5 = 195 Hz or 205 Hz …(i) Frequency of second harmonics of the pipe = 2n and number of beats in this case = 10 \ 2n = 420 ± 10
Therefore 410 Hz or 430 Hz
Therefore n = 205 Hz or 215 Hz …
(ii) From equation (i) and (ii) it is clear that n = 205 Hz
BETA
