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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