Question

An organ pipe P₁ closed at one end vibrating in its first overtone and another pipe P₂ open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of P₁ to that of P₂ is ______.

Options

• 8/3

• 3/8

• 1/2

• 1/3

Answer 1

An organ pipe P₁ closed at one end vibrating in its first overtone and another pipe P₂ open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of P₁ to that of P₂ is 3/8.

Explanation:

`3xx"v"/(4"l"_"c")=4xx"v"/(2"l"_0)` or

`"l"_"c"/"l"_0=(3"v")/4xx2/(4"v")`

= `3/8`