MHT CET20242 May 2024Morning ShiftPhysicsWaves and SoundActual
An air column in a closed organ pipe vibrating in unison with a fork, produces second overtone. The vibrating air column has
Options
- Athree nodes and two antinodes.
- Bthree nodes and three antinodes.
- Cfour nodes and three antinodes.
- Dthree nodes and four antinodes.
Correct answer
B. three nodes and three antinodes.
Step-by-step solution
Frequency of n ^ th harmonic of a closed pipe f _ n = nV 4 ~L Frequency of different modes of vibration in a closed pipe f _ n ^ = (2 n-1) V 4 ~L ₁ Frequency of 2^ nd overtone, f ₃^ = 5 ~V 4 ~L ₁ ( n =3) In a closed pipe, the number of nodes and antinodes are the same. Hence, there will be 3 nodes and 3 antinodes.