wave_mechanics organ_pipe_vibration_of_air_column Question 28
Question: Two open organ pipes give 4 beats/sec when sounded together in their fundamental nodes. If the length of the pipe are 100 cm and 102.5 cm respectively, then the velocity of sound is :
[Pb. PET 2000; CPMT 2001]
Options:
A) 496 m/s
B) 328 m/s
C) 240 m/s
D) 160 m/s
Show Answer
Answer:
Correct Answer: B
Solution:
$ \Delta n=n _{1}-n _{2} $
$ \Rightarrow 4=\frac{v}{2l _{1}}-\frac{v}{2l _{2}} $
$ =\frac{v}{2}[ \frac{1}{1.00}-\frac{1}{1.025} ] $
$ \Rightarrow 8=[1-0.975] $
$ \Rightarrow V=\frac{8}{0.025}\approx 328m/s.
$
BETA
