Solveeit Logo
Login

Question

Question: A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are ...

A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio

A

1 : 2

B

2 : 3

C

3 : 4

D

4 : 5

Answer

3 : 4

Explanation

Solution

If is given that

First over tone of closed pip = First over tone of open pipe ⇒ 3(v4l1)=2(v2l2)3\left( \frac{v}{4l_{1}} \right) = 2\left( \frac{v}{2l_{2}} \right); where l1 and l2 are the lengths of closed and open organ pipes hence l1l2=34\frac{l_{1}}{l_{2}} = \frac{3}{4}