MHT CET202520 Apr 2025Evening ShiftPhysicsWaves and SoundActual
The length of closed and open pipe is same. The ratio of frequency of n ^ th overtone for closed pipe to that of open pipe is (Neglect end correction)
Options
- A(2 n+1) 2(n+1)
- B( n +1) (2 n +1)
- C(2 n-1) 2(n+1)
- D(n-1) 2(n+1)
Correct answer
A. (2 n+1) 2(n+1)
Step-by-step solution
The frequency of the n th overtone for a closed pipe is f_ c,n = (2n+1) v 4L , while for an open pipe it is f_ o,n = (n+1) v 2L . The ratio is then f_ c,n f_ o,n = (2n+1) v 4L (n+1) v 2L = (2n+1) 2(n+1) . The correct answer is A.