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
fundamental frequency of organ pipe is
(a) 195 Hz (b) 205 Hz
(c) 190 Hz (d) 210 Hz

Answer 1

Answer:

250Hz

Explanation:

let the fundamental frequency of organ pipe be f

Case 1: f=200±5=205Hz or 195Hz

Case 2: frequency of 2nd harmonic of organ pipe=2f(as is clear from the second figure)

2f=420±10orf=210±5 or f=205 or 215

Hence the fundamental frequency of organ pipe = 205 Hz

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Answer 2

Answer:

(b) 205 Hz

Explanation:

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