Wave Mechanics Question 1124
Question: Two closed pipe produce 10 beats per second when emitting their fundamental nodes. If their length are in ratio of 25 : 26. Then their fundamental frequency in Hz, are
[MH CET 2002]
Options:
A) 270, 280
B) 260, 270
C) 260, 250
D) 260, 280
Show Answer
Answer:
Correct Answer: C
Solution:
$ n _{1}-n _{2}=10 $ ..?(i) Using $ n _{1},=\frac{v}{4l _{1}} $ and $ n _{2}=\frac{v}{4l _{2}} $
Therefore $ \frac{n _{1}}{n _{2}}=\frac{l _{2}}{l _{1}}=\frac{26}{25} $ ?..(ii) After solving these equation $ n _{1}=260Hz $ ,$ n _{2}=250 $
$ Hz $