MHT CET20227 Aug 2022Evening ShiftPhysicsWaves and SoundActual
A pipe open at both ends and a pipe closed at one end have save same length. The ratio of frequencies of air columns in their p ^ th overtone respectively is
Options
- Ap 2 p+1
- Bp+1 2 p
- Cp+1 2 p+1
- D2(p+1) 2 p+1
Correct answer
D. 2(p+1) 2 p+1
Step-by-step solution
Let l be the length of the pipe and v the speed of the sound. The frequency of the open organ pipe of p ^ th overtone is, f ₀=( p +1) v 21 And frequency of closed organ pipe of nth overtone is, f _ c =( p +2) v 41 The desired ratio is thus, f ₀ f _ c = 2( p +1) 2 p +1