MHT CET2019Morning ShiftPhysicsWaves and SoundActual
A pipe open at both ends and a pipe closed at one end have same length. The ratio of frequencies of their P t h overtone is
Options
- AP + 1 2 p
- Bp + 1 2 p + 1
- C2 p + 1 2 p + 1
- Dp 2 p + 1
Correct answer
C. 2 p + 1 2 p + 1
Step-by-step solution
Frequency of p th overtone of open organ pipe = p + 1 v 2 L …. (i) where, L = length of organ pipe and that of closed organ pipe is = 2 p + 1 = v 4 L …. (ii) So, the ratio of p th overtone of open to closed p + 1 v 2 L 2 p + 1 v 4 L (using Eqs. (i) and (ii)) = 2 p + 1 2 p + 1