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 $