wave_mechanics organ_pipe_vibration_of_air_column Question 26
Question: Two open organ pipes of length 25 cm and 25.5 cm produce 10 beat/sec. The velocity of sound will be
[Pb. PMT 2004]
Options:
A) 255 m/s
B) 250 m/s
C) 350 m/s
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ n=n _{1}-n _{2} $
$ \Rightarrow 10=\frac{v}{2l _{1}}-\frac{v}{2l _{2}} $
$ =\frac{v}{2}[ \frac{1}{l _{1}}-\frac{1}{l _{2}} ] $
$ \Rightarrow 10=\frac{v}{2}[ \frac{1}{0.25}-\frac{1}{0.255} ] $
$ \Rightarrow v=255m/s.
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