NTA Abhyas JEE Main2020PhysicsWaves and SoundPractice
An organ pipe open at one end and closed at other, has a length L . The wavelengths of the three lowest resonating frequencies that can be produced by this pipe are
Options
- A4 L ,   2 L ,   L
- B2 L ,   L ,   L / 2
- C2 L ,   L ,   2 L / 3
- D4 L , 4 L / 3 , 4 L / 5
Correct answer
D. 4 L , 4 L / 3 , 4 L / 5
Step-by-step solution
L = ( 2 n − 1 ) λ 4 λ = 4 L ( 2 n − 1 ) Hence, λ 1 = 4 L 2 ( 1 ) − 1 = 4 L λ 2 = 4 L 4 − 1 = 4 L 3   λ 3 = 4 L 6 − 1 = 4 L 5