Q. An organ pipe, open at both ends produces 5 beats/s when vibrates with a source of frequency 200 Hz. The second of the same pipe produces 10 beats/s with a source of frequency 420 Hz. The frequency of source is

A) 195 Hz
B) 205 Hz
C) 190 Hz
D) 210 Hz
Explanation

(b) Since, an open pipe produces both even and odd harmonics, hence frequency of pipe
$= 200 \pm 5$
=195 Hz or 205 Hz.
Frequency of second harmonic of pipe =2v.
Now, the number of beats=10
$\therefore\ \ 2v = 420 \pm 10 = 410\ Hz\ or\ 430\ Gz$
∴v=205 Hz or 215Hz.$\ $
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Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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